TSTP Solution File: RNG068+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG068+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.cS5gGPYwI6 true
% Computer : n021.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 14:06:39 EDT 2023
% Result : Theorem 241.12s 39.50s
% Output : Refutation 241.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 42
% Syntax : Number of formulae : 386 ( 173 unt; 21 typ; 0 def)
% Number of atoms : 855 ( 176 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 3664 ( 486 ~; 446 |; 34 &;2688 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 280 ( 0 ^; 280 !; 0 ?; 280 :)
% Comments :
%------------------------------------------------------------------------------
thf(xN_type,type,
xN: $i ).
thf(xP_type,type,
xP: $i ).
thf(xq_type,type,
xq: $i ).
thf(xR_type,type,
xR: $i ).
thf(xS_type,type,
xS: $i ).
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(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(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
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(mDistr,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(mSumSc,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X0 ) )
| ( aScalar0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl11]) ).
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_cl11801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aScalar0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X0 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl461,zip_derived_cl12]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl11802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11801,zip_derived_cl12]) ).
thf(zip_derived_cl12_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl12_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl12_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl12_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
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_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl12_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl12_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl12_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl97_010,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl22_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl22]) ).
thf(zip_derived_cl306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl282]) ).
thf(zip_derived_cl11_012,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl6642,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl306,zip_derived_cl11]) ).
thf(zip_derived_cl12_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl22_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl26_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(m__,conjecture,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xR @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xR @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl94,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xR @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
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(zip_derived_cl95,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl87]) ).
thf(zip_derived_cl464,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl95]) ).
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_016,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_017,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl526,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl84,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl1597,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ xN )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl526]) ).
thf(zip_derived_cl88,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1615,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1597,zip_derived_cl88]) ).
thf(zip_derived_cl87_018,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_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_cl560,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ xR @ ( smndt0 @ xS ) )
= ( smndt0 @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl30]) ).
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_cl575,plain,
( ( sdtasdt0 @ xR @ ( smndt0 @ xS ) )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl560,zip_derived_cl82,zip_derived_cl86]) ).
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_cl98,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_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_cl429,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl29]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl429]) ).
thf(zip_derived_cl10963,plain,
( ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xS ) ) @ xR )
= ( smndt0 @ ( smndt0 @ xN ) ) )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ ( smndt0 @ xS ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl575,zip_derived_cl441]) ).
thf(zip_derived_cl85,plain,
( xS
= ( sdtasdt0 @ xF @ xD ) ),
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl29_019,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_cl439,plain,
( ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD )
| ( ( sdtasdt0 @ ( smndt0 @ xF ) @ xD )
= ( smndt0 @ xS ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl29]) ).
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_cl453,plain,
( ( sdtasdt0 @ ( smndt0 @ xF ) @ xD )
= ( smndt0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl29_020,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
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_cl20,plain,
! [X0: $i] :
( ( ( smndt0 @ ( smndt0 @ X0 ) )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl428,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( smndt0 @ ( sdtasdt0 @ ( smndt0 @ X1 ) @ X0 ) )
= ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl20]) ).
thf(zip_derived_cl12_021,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl10693,plain,
! [X0: $i,X1: $i] :
( ( ( smndt0 @ ( sdtasdt0 @ ( smndt0 @ X1 ) @ X0 ) )
= ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl428,zip_derived_cl12]) ).
thf(zip_derived_cl10721,plain,
( ( ( smndt0 @ ( smndt0 @ xS ) )
= ( sdtasdt0 @ xF @ xD ) )
| ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl453,zip_derived_cl10693]) ).
thf(zip_derived_cl85_022,plain,
( xS
= ( sdtasdt0 @ xF @ xD ) ),
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl76_023,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_024,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl10741,plain,
( ( smndt0 @ ( smndt0 @ xS ) )
= xS ),
inference(demod,[status(thm)],[zip_derived_cl10721,zip_derived_cl85,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl82_025,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl453_026,plain,
( ( sdtasdt0 @ ( smndt0 @ xF ) @ xD )
= ( smndt0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl29_027,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
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_cl425,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ ( smndt0 @ X1 ) @ X0 ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl13]) ).
thf(zip_derived_cl12_028,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl10082,plain,
! [X0: $i,X1: $i] :
( ( aScalar0 @ ( sdtasdt0 @ ( smndt0 @ X1 ) @ X0 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl425,zip_derived_cl12]) ).
thf(zip_derived_cl10100,plain,
( ( aScalar0 @ ( smndt0 @ xS ) )
| ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl453,zip_derived_cl10082]) ).
thf(zip_derived_cl76_029,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_030,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl10120,plain,
aScalar0 @ ( smndt0 @ xS ),
inference(demod,[status(thm)],[zip_derived_cl10100,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl11052,plain,
( ( sdtasdt0 @ xS @ xR )
= ( smndt0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10963,zip_derived_cl10741,zip_derived_cl82,zip_derived_cl10120]) ).
thf(zip_derived_cl87_031,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl29_032,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_cl440,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_033,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_034,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl454,plain,
( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl10693_035,plain,
! [X0: $i,X1: $i] :
( ( ( smndt0 @ ( sdtasdt0 @ ( smndt0 @ X1 ) @ X0 ) )
= ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl428,zip_derived_cl12]) ).
thf(zip_derived_cl10725,plain,
( ( ( smndt0 @ ( smndt0 @ xN ) )
= ( sdtasdt0 @ xR @ xS ) )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl454,zip_derived_cl10693]) ).
thf(zip_derived_cl87_036,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl82_037,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_038,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl10745,plain,
( ( smndt0 @ ( smndt0 @ xN ) )
= xN ),
inference(demod,[status(thm)],[zip_derived_cl10725,zip_derived_cl87,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl37231,plain,
( ( sdtasdt0 @ xS @ xR )
= xN ),
inference(demod,[status(thm)],[zip_derived_cl11052,zip_derived_cl10745]) ).
thf(zip_derived_cl37231_039,plain,
( ( sdtasdt0 @ xS @ xR )
= xN ),
inference(demod,[status(thm)],[zip_derived_cl11052,zip_derived_cl10745]) ).
thf(zip_derived_cl185756,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1615,zip_derived_cl37231,zip_derived_cl37231]) ).
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_cl15,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
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_cl16,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz0z00 ) )
= sz0z00 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl16]) ).
thf(mSZeroSc,axiom,
aScalar0 @ sz0z00 ).
thf(zip_derived_cl10,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl256,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz0z00 ) )
= sz0z00 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl10]) ).
thf(zip_derived_cl12_041,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl5379,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ sz0z00 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl12]) ).
thf(zip_derived_cl85_042,plain,
( xS
= ( sdtasdt0 @ xF @ xD ) ),
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl24_043,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_cl239,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xS @ X0 )
= ( sdtasdt0 @ xF @ ( sdtasdt0 @ xD @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl24]) ).
thf(zip_derived_cl72_044,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl76_045,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl251,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xS @ X0 )
= ( sdtasdt0 @ xF @ ( sdtasdt0 @ xD @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl5420,plain,
( ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ sz0z00 )
| ( ( sdtasdt0 @ xS @ sz0z00 )
= sz0z00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5379,zip_derived_cl251]) ).
thf(zip_derived_cl76_046,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_047,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl10_048,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl5496,plain,
( ( sdtasdt0 @ xS @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl5420,zip_derived_cl76,zip_derived_cl72,zip_derived_cl10]) ).
thf(zip_derived_cl87_049,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(mDistr2,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt0 @ W2 @ W3 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W0 @ W3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X3 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ X2 @ X0 ) @ ( sdtasdt0 @ X2 @ X3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X3 ) ) ) ) ),
inference(cnf,[status(esa)],[mDistr2]) ).
thf(zip_derived_cl936,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ xR ) @ ( sdtpldt0 @ X0 @ xS ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ X0 ) @ xN ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl28]) ).
thf(zip_derived_cl82_050,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_051,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl999,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ xR ) @ ( sdtpldt0 @ X0 @ xS ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ X0 ) @ xN ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl936,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl85774,plain,
( ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xS @ xR ) @ ( sdtpldt0 @ sz0z00 @ xS ) )
= ( sdtpldt0 @ ( sdtpldt0 @ sz0z00 @ ( sdtasdt0 @ xS @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ sz0z00 ) @ xN ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5496,zip_derived_cl999]) ).
thf(zip_derived_cl10_052,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl86_053,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl98_054,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_055,plain,
( xS
= ( sdtasdt0 @ xF @ xD ) ),
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl335,plain,
( ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD )
| ( xS
= ( sdtasdt0 @ xD @ xF ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl85]) ).
thf(zip_derived_cl76_056,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_057,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl381,plain,
( xS
= ( sdtasdt0 @ xD @ xF ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl29_058,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_cl19,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl427,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtpldt0 @ ( sdtasdt0 @ ( smndt0 @ X1 ) @ X0 ) @ ( sdtasdt0 @ X1 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl19]) ).
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_cl10454,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ ( smndt0 @ X1 ) @ X0 ) @ ( sdtasdt0 @ X1 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl427,zip_derived_cl12]) ).
thf(zip_derived_cl10526,plain,
( ( ( sdtpldt0 @ ( sdtasdt0 @ ( smndt0 @ xD ) @ xF ) @ xS )
= sz0z00 )
| ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xF ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl381,zip_derived_cl10454]) ).
thf(zip_derived_cl381_060,plain,
( xS
= ( sdtasdt0 @ xD @ xF ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl29_061,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_cl456,plain,
( ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xF )
| ( ( sdtasdt0 @ ( smndt0 @ xD ) @ xF )
= ( smndt0 @ xS ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl381,zip_derived_cl29]) ).
thf(zip_derived_cl72_062,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl76_063,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl459,plain,
( ( sdtasdt0 @ ( smndt0 @ xD ) @ xF )
= ( smndt0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl72_064,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl76_065,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl10634,plain,
( ( sdtpldt0 @ ( smndt0 @ xS ) @ xS )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl10526,zip_derived_cl459,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl19_066,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl22_067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ ( smndt0 @ X1 ) )
| ~ ( aScalar0 @ X0 )
| ( ( sdtpldt0 @ sz0z00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ X1 ) )
| ~ ( aScalar0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl13_068,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl2697,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtpldt0 @ sz0z00 @ X0 )
= ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl185,zip_derived_cl13]) ).
thf(zip_derived_cl10820,plain,
( ~ ( aScalar0 @ ( smndt0 @ xS ) )
| ~ ( aScalar0 @ xS )
| ( ( sdtpldt0 @ sz0z00 @ xS )
= ( sdtpldt0 @ ( smndt0 @ ( smndt0 @ xS ) ) @ sz0z00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10634,zip_derived_cl2697]) ).
thf(zip_derived_cl10120_069,plain,
aScalar0 @ ( smndt0 @ xS ),
inference(demod,[status(thm)],[zip_derived_cl10100,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl86_070,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl10741_071,plain,
( ( smndt0 @ ( smndt0 @ xS ) )
= xS ),
inference(demod,[status(thm)],[zip_derived_cl10721,zip_derived_cl85,zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl10836,plain,
( ( sdtpldt0 @ sz0z00 @ xS )
= ( sdtpldt0 @ xS @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl10820,zip_derived_cl10120,zip_derived_cl86,zip_derived_cl10741]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz0z00 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl11303,plain,
( ( ( sdtpldt0 @ sz0z00 @ xS )
= xS )
| ~ ( aScalar0 @ xS ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10836,zip_derived_cl14]) ).
thf(zip_derived_cl86_072,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl11317,plain,
( ( sdtpldt0 @ sz0z00 @ xS )
= xS ),
inference(demod,[status(thm)],[zip_derived_cl11303,zip_derived_cl86]) ).
thf(zip_derived_cl16_073,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl81,plain,
( xR
= ( sdtasdt0 @ xC @ xG ) ),
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl24_074,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_cl237,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xG )
| ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xR @ X0 )
= ( sdtasdt0 @ xC @ ( sdtasdt0 @ xG @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl24]) ).
thf(m__1854,axiom,
( ( xG
= ( sdtasdt0 @ xB @ xB ) )
& ( aScalar0 @ xG ) ) ).
thf(zip_derived_cl78,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(m__1783,axiom,
( ( xC
= ( sdtasasdt0 @ xp @ xp ) )
& ( aScalar0 @ xC ) ) ).
thf(zip_derived_cl70,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xR @ X0 )
= ( sdtasdt0 @ xC @ ( sdtasdt0 @ xG @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl78,zip_derived_cl70]) ).
thf(zip_derived_cl4308,plain,
( ~ ( aScalar0 @ xG )
| ~ ( aScalar0 @ sz0z00 )
| ( ( sdtasdt0 @ xR @ sz0z00 )
= ( sdtasdt0 @ xC @ sz0z00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl249]) ).
thf(zip_derived_cl78_075,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl10_076,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl4314,plain,
( ( sdtasdt0 @ xR @ sz0z00 )
= ( sdtasdt0 @ xC @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl4308,zip_derived_cl78,zip_derived_cl10]) ).
thf(zip_derived_cl4314_077,plain,
( ( sdtasdt0 @ xR @ sz0z00 )
= ( sdtasdt0 @ xC @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl4308,zip_derived_cl78,zip_derived_cl10]) ).
thf(zip_derived_cl98_078,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_cl4376,plain,
( ( ( sdtasdt0 @ sz0z00 @ xR )
= ( sdtasdt0 @ xC @ sz0z00 ) )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ xR ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4314,zip_derived_cl98]) ).
thf(zip_derived_cl81_079,plain,
( xR
= ( sdtasdt0 @ xC @ xG ) ),
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz0z00 @ X0 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl24_080,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_cl232,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ sz0z00 @ X0 )
= ( sdtasdt0 @ sz0z00 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl24]) ).
thf(zip_derived_cl10_081,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl243,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ sz0z00 @ X0 )
= ( sdtasdt0 @ sz0z00 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl10]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ sz0z00 @ X0 )
= ( sdtasdt0 @ sz0z00 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl243]) ).
thf(zip_derived_cl3595,plain,
( ( ( sdtasdt0 @ sz0z00 @ xG )
= ( sdtasdt0 @ sz0z00 @ xR ) )
| ~ ( aScalar0 @ xG )
| ~ ( aScalar0 @ xC ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl244]) ).
thf(zip_derived_cl78_082,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl70_083,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl3628,plain,
( ( sdtasdt0 @ sz0z00 @ xG )
= ( sdtasdt0 @ sz0z00 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl3595,zip_derived_cl78,zip_derived_cl70]) ).
thf(zip_derived_cl3628_084,plain,
( ( sdtasdt0 @ sz0z00 @ xG )
= ( sdtasdt0 @ sz0z00 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl3595,zip_derived_cl78,zip_derived_cl70]) ).
thf(zip_derived_cl17_085,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ sz0z00 @ X0 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl3669,plain,
( ( ( sdtasdt0 @ sz0z00 @ xG )
= sz0z00 )
| ~ ( aScalar0 @ xR ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3628,zip_derived_cl17]) ).
thf(zip_derived_cl82_086,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl3687,plain,
( ( sdtasdt0 @ sz0z00 @ xG )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl3669,zip_derived_cl82]) ).
thf(zip_derived_cl3848,plain,
( sz0z00
= ( sdtasdt0 @ sz0z00 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl3628,zip_derived_cl3687]) ).
thf(zip_derived_cl10_087,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl82_088,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl4396,plain,
( sz0z00
= ( sdtasdt0 @ xC @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl4376,zip_derived_cl3848,zip_derived_cl10,zip_derived_cl82]) ).
thf(zip_derived_cl5089,plain,
( ( sdtasdt0 @ xR @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl4314,zip_derived_cl4396]) ).
thf(zip_derived_cl15_089,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl87_090,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl26_091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(zip_derived_cl481,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ xR @ ( sdtpldt0 @ X0 @ xS ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xR @ X0 ) @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl26]) ).
thf(zip_derived_cl82_092,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_093,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl509,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xR @ ( sdtpldt0 @ X0 @ xS ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xR @ X0 ) @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl481,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl15388,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ sz0z00 )
| ( ( sdtasdt0 @ xR @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ xR @ sz0z00 ) @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl509]) ).
thf(zip_derived_cl86_094,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl10_095,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl87_096,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl5089_097,plain,
( ( sdtasdt0 @ xR @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl4314,zip_derived_cl4396]) ).
thf(zip_derived_cl15400,plain,
( xN
= ( sdtpldt0 @ sz0z00 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl15388,zip_derived_cl86,zip_derived_cl10,zip_derived_cl87,zip_derived_cl5089]) ).
thf(zip_derived_cl86024,plain,
( ( sdtasdt0 @ ( sdtpldt0 @ xS @ xR ) @ xS )
= ( sdtpldt0 @ ( sdtpldt0 @ sz0z00 @ ( sdtasdt0 @ xS @ xS ) ) @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl85774,zip_derived_cl10,zip_derived_cl86,zip_derived_cl11317,zip_derived_cl5089,zip_derived_cl15400]) ).
thf(zip_derived_cl99562,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xS @ xR ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl86024]) ).
thf(zip_derived_cl99639,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xS @ xR ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl99562]) ).
thf(zip_derived_cl86_098,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl86_099,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl99646,plain,
( ( sdtasdt0 @ ( sdtpldt0 @ xS @ xR ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl99639,zip_derived_cl86,zip_derived_cl86]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X2 ) @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(zip_derived_cl11_100,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X0 ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl11]) ).
thf(zip_derived_cl12_101,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl23367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl635,zip_derived_cl12]) ).
thf(zip_derived_cl12_102,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl23368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl23367,zip_derived_cl12]) ).
thf(zip_derived_cl99808,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xR )
| ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl99646,zip_derived_cl23368]) ).
thf(zip_derived_cl86_103,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl86_104,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl82_105,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl99966,plain,
aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ),
inference(demod,[status(thm)],[zip_derived_cl99808,zip_derived_cl86,zip_derived_cl86,zip_derived_cl82]) ).
thf(zip_derived_cl97_106,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
= ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl99646_107,plain,
( ( sdtasdt0 @ ( sdtpldt0 @ xS @ xR ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl99639,zip_derived_cl86,zip_derived_cl86]) ).
thf(zip_derived_cl99810,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xR )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl99646]) ).
thf(zip_derived_cl86_108,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl82_109,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl99812,plain,
( ( sdtasdt0 @ ( sdtpldt0 @ xR @ xS ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl99810,zip_derived_cl86,zip_derived_cl82]) ).
thf(zip_derived_cl87_110,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl27_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X2 ) @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(zip_derived_cl670,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ X0 ) @ xS )
= ( sdtpldt0 @ xN @ ( sdtasdt0 @ X0 @ xS ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl27]) ).
thf(zip_derived_cl82_112,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_113,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl700,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ X0 ) @ xS )
= ( sdtpldt0 @ xN @ ( sdtasdt0 @ X0 @ xS ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl100159,plain,
( ~ ( aScalar0 @ xS )
| ( ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN )
= ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl99812,zip_derived_cl700]) ).
thf(zip_derived_cl86_114,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl100314,plain,
( ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ xN )
= ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl100159,zip_derived_cl86]) ).
thf(zip_derived_cl205569,plain,
aScalar0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl99966,zip_derived_cl100314]) ).
thf(zip_derived_cl205572,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185756,zip_derived_cl205569]) ).
thf(zip_derived_cl206243,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl205572]) ).
thf(zip_derived_cl82_115,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl82_116,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl206248,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl206243,zip_derived_cl82,zip_derived_cl82]) ).
thf(zip_derived_cl209305,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6642,zip_derived_cl206248]) ).
thf(zip_derived_cl88_117,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl205569_118,plain,
aScalar0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl99966,zip_derived_cl100314]) ).
thf(zip_derived_cl209324,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl209305,zip_derived_cl88,zip_derived_cl205569]) ).
thf(zip_derived_cl210015,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl209324]) ).
thf(zip_derived_cl82_119,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl82_120,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl210020,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) @ ( sdtasdt0 @ xR @ xR ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl210015,zip_derived_cl82,zip_derived_cl82]) ).
thf(zip_derived_cl217889,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl210020]) ).
thf(zip_derived_cl88_121,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl217911,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl217889,zip_derived_cl88]) ).
thf(zip_derived_cl223286,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl217911]) ).
thf(zip_derived_cl82_122,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl82_123,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl223291,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl223286,zip_derived_cl82,zip_derived_cl82]) ).
thf(zip_derived_cl223296,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl223291]) ).
thf(zip_derived_cl86_124,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl86_125,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl223301,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xS ) @ ( sdtasdt0 @ xR @ xR ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl223296,zip_derived_cl86,zip_derived_cl86]) ).
thf(zip_derived_cl223393,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl223301]) ).
thf(zip_derived_cl225513,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl223393]) ).
thf(zip_derived_cl86_126,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl86_127,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl225518,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl225513,zip_derived_cl86,zip_derived_cl86]) ).
thf(zip_derived_cl225523,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl225518]) ).
thf(zip_derived_cl82_128,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl82_129,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl225528,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl225523,zip_derived_cl82,zip_derived_cl82]) ).
thf(zip_derived_cl22_130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
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_cl820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( sdtlseqdt0 @ X4 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X3 )
| ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X4 )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X4 @ X3 ) @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( sdtlseqdt0 @ X3 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl36]) ).
thf(zip_derived_cl850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( sdtlseqdt0 @ X3 @ X0 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X4 @ X3 ) @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ X4 )
| ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X3 )
| ~ ( sdtlseqdt0 @ X4 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl820]) ).
thf(zip_derived_cl226355,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtpldt0 @ xN @ xN ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl225528,zip_derived_cl850]) ).
thf(zip_derived_cl26_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(m__2104,axiom,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ).
thf(zip_derived_cl91,plain,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ),
inference(cnf,[status(esa)],[m__2104]) ).
thf(zip_derived_cl463,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl91]) ).
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_cl84_134,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl525,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl84,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl27_135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X2 ) @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(zip_derived_cl26_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(zip_derived_cl637,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X0 ) )
= ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl26]) ).
thf(zip_derived_cl701,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X0 ) )
= ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X1 ) @ X0 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl637]) ).
thf(zip_derived_cl87_137,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl27_138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X2 ) @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(zip_derived_cl656,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X0 @ xR ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xS ) @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl27]) ).
thf(zip_derived_cl82_139,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_140,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl685,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ X0 @ xR ) @ xS )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xS ) @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl33248,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xR )
| ( ( sdtasdt0 @ xR @ ( sdtpldt0 @ xS @ xS ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xR @ xS ) @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl701,zip_derived_cl685]) ).
thf(zip_derived_cl86_141,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl82_142,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl82_143,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl87_144,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl33553,plain,
( ( sdtasdt0 @ xR @ ( sdtpldt0 @ xS @ xS ) )
= ( sdtpldt0 @ xN @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl33248,zip_derived_cl86,zip_derived_cl82,zip_derived_cl82,zip_derived_cl87]) ).
thf(zip_derived_cl11802_145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11801,zip_derived_cl12]) ).
thf(zip_derived_cl33699,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33553,zip_derived_cl11802]) ).
thf(zip_derived_cl86_146,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl82_147,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_148,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl33760,plain,
aScalar0 @ ( sdtpldt0 @ xN @ xN ),
inference(demod,[status(thm)],[zip_derived_cl33699,zip_derived_cl86,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl88_149,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl88_150,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl226406,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtpldt0 @ xN @ xN ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl226355,zip_derived_cl525,zip_derived_cl33760,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl226407,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) @ ( sdtpldt0 @ xN @ xN ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl226406]) ).
thf(zip_derived_cl26_151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistr]) ).
thf(zip_derived_cl36_152,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_cl830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ X2 @ X1 ) @ X4 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X0 ) )
| ~ ( aScalar0 @ X4 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X3 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ ( sdtpldt0 @ X4 @ X3 ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ X2 @ X0 ) @ X3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl36]) ).
thf(zip_derived_cl227035,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ xN )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl226407,zip_derived_cl830]) ).
thf(zip_derived_cl84_153,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_154,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_155,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(m__2004,axiom,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ).
thf(zip_derived_cl90,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN,
inference(cnf,[status(esa)],[m__2004]) ).
thf(zip_derived_cl88_156,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl88_157,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl90_158,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN,
inference(cnf,[status(esa)],[m__2004]) ).
thf(zip_derived_cl227066,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227035,zip_derived_cl84,zip_derived_cl84,zip_derived_cl84,zip_derived_cl90,zip_derived_cl88,zip_derived_cl88,zip_derived_cl90]) ).
thf(zip_derived_cl227067,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl227066]) ).
thf(zip_derived_cl227267,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl227067]) ).
thf(zip_derived_cl84_159,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_160,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl227272,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227267,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl11_161,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl227277,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl227272,zip_derived_cl11]) ).
thf(zip_derived_cl227295,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl227277]) ).
thf(zip_derived_cl82_162,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl82_163,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl227300,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227295,zip_derived_cl82,zip_derived_cl82]) ).
thf(zip_derived_cl227305,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl227300]) ).
thf(zip_derived_cl86_164,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl86_165,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl227310,plain,
~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtpldt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227305,zip_derived_cl86,zip_derived_cl86]) ).
thf(zip_derived_cl227318,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11802,zip_derived_cl227310]) ).
thf(zip_derived_cl84_166,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_167,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_168,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl227322,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl227318,zip_derived_cl84,zip_derived_cl84,zip_derived_cl84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG068+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cS5gGPYwI6 true
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Aug 27 01:36:12 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 241.12/39.50 % Solved by fo/fo13.sh.
% 241.12/39.50 % done 7396 iterations in 38.618s
% 241.12/39.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 241.12/39.50 % SZS output start Refutation
% See solution above
% 241.12/39.50
% 241.12/39.50
% 241.12/39.50 % Terminating...
% 241.14/39.62 % Runner terminated.
% 241.14/39.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------