TSTP Solution File: RNG078+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG078+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.5fYCUoRtkJ true
% Computer : n004.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 14:06:44 EDT 2023
% Result : Theorem 249.56s 36.63s
% Output : Refutation 249.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 39
% Syntax : Number of formulae : 194 ( 82 unt; 22 typ; 0 def)
% Number of atoms : 376 ( 72 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 2022 ( 217 ~; 183 |; 18 &;1601 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 16 con; 0-2 aty)
% Number of variables : 103 ( 0 ^; 103 !; 0 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
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(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(xs_type,type,
xs: $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(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(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_cl11_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl12_002,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_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_cl22_003,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_cl11_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
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_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_cl22_006,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_cl231,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_cl253,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_cl231]) ).
thf(zip_derived_cl11_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSumSc]) ).
thf(zip_derived_cl5339,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_cl253,zip_derived_cl11]) ).
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_cl97_009,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_010,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_cl228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl22]) ).
thf(zip_derived_cl248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) ) )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl228]) ).
thf(zip_derived_cl5339_011,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_cl253,zip_derived_cl11]) ).
thf(zip_derived_cl12_012,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl97_013,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_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(m__,conjecture,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtasdt0 @ xC @ xG ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xD ) @ ( sdtasdt0 @ xF @ xG ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtasdt0 @ xC @ xG ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xD ) @ ( sdtasdt0 @ xF @ xG ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl93,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xE @ xH ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtasdt0 @ xC @ xG ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xD ) @ ( sdtasdt0 @ xF @ xG ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1911,axiom,
( ( xP
= ( sdtasdt0 @ xE @ xH ) )
& ( aScalar0 @ xP ) ) ).
thf(zip_derived_cl83,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(m__1892,axiom,
( ( xR
= ( sdtasdt0 @ xC @ xG ) )
& ( aScalar0 @ xR ) ) ).
thf(zip_derived_cl81,plain,
( xR
= ( sdtasdt0 @ xC @ xG ) ),
inference(cnf,[status(esa)],[m__1892]) ).
thf(m__1930,axiom,
( ( xS
= ( sdtasdt0 @ xF @ xD ) )
& ( aScalar0 @ xS ) ) ).
thf(zip_derived_cl85,plain,
( xS
= ( sdtasdt0 @ xF @ xD ) ),
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl94,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ xR ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl83,zip_derived_cl81,zip_derived_cl85]) ).
thf(zip_derived_cl339,plain,
( ~ ( aScalar0 @ xH )
| ~ ( aScalar0 @ xE )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ xR ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl94]) ).
thf(m__1873,axiom,
( ( xH
= ( sdtasdt0 @ xA @ xB ) )
& ( aScalar0 @ xH ) ) ).
thf(zip_derived_cl80,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(m__1820,axiom,
( ( xE
= ( sdtasasdt0 @ xp @ xq ) )
& ( aScalar0 @ xE ) ) ).
thf(zip_derived_cl74,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl83_014,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl371,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ xR ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl80,zip_derived_cl74,zip_derived_cl83]) ).
thf(zip_derived_cl1112,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
| ~ ( aScalar0 @ xR )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl371]) ).
thf(zip_derived_cl82,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl1124,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1112,zip_derived_cl82]) ).
thf(zip_derived_cl1133,plain,
( ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xC )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1124]) ).
thf(m__1800,axiom,
( ( xD
= ( sdtasasdt0 @ xq @ xq ) )
& ( aScalar0 @ xD ) ) ).
thf(zip_derived_cl72,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
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_cl1134,plain,
~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1133,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl5386,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( sdtasdt0 @ xF @ xG ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ xS ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5339,zip_derived_cl1134]) ).
thf(zip_derived_cl86,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl5610,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xF @ xG ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ xS ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5386,zip_derived_cl86]) ).
thf(m__1854,axiom,
( ( xG
= ( sdtasdt0 @ xB @ xB ) )
& ( aScalar0 @ xG ) ) ).
thf(zip_derived_cl77,plain,
( xG
= ( sdtasdt0 @ xB @ xB ) ),
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl79,plain,
( xH
= ( sdtasdt0 @ xA @ xB ) ),
inference(cnf,[status(esa)],[m__1873]) ).
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_cl285,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xB )
| ~ ( aScalar0 @ xA )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xH @ X0 )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xB @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl24]) ).
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(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_cl297,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xH @ X0 )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xB @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl68,zip_derived_cl66]) ).
thf(zip_derived_cl7409,plain,
( ~ ( aScalar0 @ xB )
| ( ( sdtasdt0 @ xH @ xB )
= ( sdtasdt0 @ xA @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl297]) ).
thf(zip_derived_cl68_015,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl7417,plain,
( ( sdtasdt0 @ xH @ xB )
= ( sdtasdt0 @ xA @ xG ) ),
inference(demod,[status(thm)],[zip_derived_cl7409,zip_derived_cl68]) ).
thf(zip_derived_cl98_016,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_cl7442,plain,
( ( ( sdtasdt0 @ xB @ xH )
= ( sdtasdt0 @ xA @ xG ) )
| ~ ( aScalar0 @ xB )
| ~ ( aScalar0 @ xH ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7417,zip_derived_cl98]) ).
thf(zip_derived_cl68_017,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl80_018,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl7462,plain,
( ( sdtasdt0 @ xB @ xH )
= ( sdtasdt0 @ xA @ xG ) ),
inference(demod,[status(thm)],[zip_derived_cl7442,zip_derived_cl68,zip_derived_cl80]) ).
thf(zip_derived_cl297_019,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xH @ X0 )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xB @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl68,zip_derived_cl66]) ).
thf(zip_derived_cl7496,plain,
( ~ ( aScalar0 @ xH )
| ( ( sdtasdt0 @ xH @ xH )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ xG ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7462,zip_derived_cl297]) ).
thf(zip_derived_cl80_020,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl7515,plain,
( ( sdtasdt0 @ xH @ xH )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ xG ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7496,zip_derived_cl80]) ).
thf(m__1837,axiom,
( ( xF
= ( sdtasdt0 @ xA @ xA ) )
& ( aScalar0 @ xF ) ) ).
thf(zip_derived_cl75,plain,
( xF
= ( sdtasdt0 @ xA @ xA ) ),
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl24_021,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_cl284,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xA )
| ~ ( aScalar0 @ xA )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xF @ X0 )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl24]) ).
thf(zip_derived_cl66_022,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl66_023,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl296,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xF @ X0 )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl66,zip_derived_cl66]) ).
thf(zip_derived_cl9221,plain,
( ~ ( aScalar0 @ xG )
| ( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7515,zip_derived_cl296]) ).
thf(zip_derived_cl78,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl9243,plain,
( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl9221,zip_derived_cl78]) ).
thf(zip_derived_cl9391,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xF @ xG ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ xS ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5610,zip_derived_cl9243]) ).
thf(zip_derived_cl7515_024,plain,
( ( sdtasdt0 @ xH @ xH )
= ( sdtasdt0 @ xA @ ( sdtasdt0 @ xA @ xG ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7496,zip_derived_cl80]) ).
thf(zip_derived_cl24_025,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_cl12_026,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X0 )
| ( aScalar0 @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl12]) ).
thf(zip_derived_cl303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aScalar0 @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl277]) ).
thf(zip_derived_cl12_027,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl7946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl303,zip_derived_cl12]) ).
thf(zip_derived_cl9219,plain,
( ~ ( aScalar0 @ xG )
| ~ ( aScalar0 @ xA )
| ~ ( aScalar0 @ xA )
| ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7515,zip_derived_cl7946]) ).
thf(zip_derived_cl78_028,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl66_029,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl66_030,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl9242,plain,
aScalar0 @ ( sdtasdt0 @ xH @ xH ),
inference(demod,[status(thm)],[zip_derived_cl9219,zip_derived_cl78,zip_derived_cl66,zip_derived_cl66]) ).
thf(zip_derived_cl9243_031,plain,
( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl9221,zip_derived_cl78]) ).
thf(zip_derived_cl9559,plain,
aScalar0 @ ( sdtasdt0 @ xF @ xG ),
inference(demod,[status(thm)],[zip_derived_cl9242,zip_derived_cl9243]) ).
thf(zip_derived_cl12447,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) @ xS ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9391,zip_derived_cl9559]) ).
thf(zip_derived_cl12460,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ xS ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl12447]) ).
thf(zip_derived_cl82_032,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_033,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl12478,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ xS ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12460,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl18864,plain,
( ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ xS ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl12478]) ).
thf(zip_derived_cl72_034,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl70_035,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl18865,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xF @ xG ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ xS ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18864,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl61981,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xF @ xG ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5339,zip_derived_cl18865]) ).
thf(zip_derived_cl9559_036,plain,
aScalar0 @ ( sdtasdt0 @ xF @ xG ),
inference(demod,[status(thm)],[zip_derived_cl9242,zip_derived_cl9243]) ).
thf(zip_derived_cl61994,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl61981,zip_derived_cl9559]) ).
thf(zip_derived_cl62112,plain,
( ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl61994]) ).
thf(zip_derived_cl72_037,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl70_038,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl62113,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ xS ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62112,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl62114,plain,
( ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl62113]) ).
thf(zip_derived_cl86_039,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl82_040,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl62115,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xF @ xG ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62114,zip_derived_cl86,zip_derived_cl82]) ).
thf(zip_derived_cl180076,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xF @ xG ) )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl62115]) ).
thf(zip_derived_cl9559_041,plain,
aScalar0 @ ( sdtasdt0 @ xF @ xG ),
inference(demod,[status(thm)],[zip_derived_cl9242,zip_derived_cl9243]) ).
thf(zip_derived_cl82_042,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_043,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl180090,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ xP ) @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl180076,zip_derived_cl9559,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl235711,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xE @ xE ) )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl180090]) ).
thf(zip_derived_cl84,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl22_044,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(m__2796,axiom,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xH @ xH ) ) ) ).
thf(zip_derived_cl91,plain,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ ( sdtpldt0 @ xR @ xS ) @ ( sdtasdt0 @ xH @ xH ) ) ),
inference(cnf,[status(esa)],[m__2796]) ).
thf(zip_derived_cl1585,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xH @ xH ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl91]) ).
thf(zip_derived_cl82_045,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_046,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl1597,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
| ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xH @ xH ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1585,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl9243_047,plain,
( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl9221,zip_derived_cl78]) ).
thf(zip_derived_cl9559_048,plain,
aScalar0 @ ( sdtasdt0 @ xF @ xG ),
inference(demod,[status(thm)],[zip_derived_cl9242,zip_derived_cl9243]) ).
thf(zip_derived_cl9243_049,plain,
( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl9221,zip_derived_cl78]) ).
thf(zip_derived_cl98_050,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(m__2835,axiom,
( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ) ).
thf(zip_derived_cl92,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
inference(cnf,[status(esa)],[m__2835]) ).
thf(zip_derived_cl83_051,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl95,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
= ( sdtpldt0 @ xP @ ( sdtpldt0 @ ( sdtasdt0 @ xH @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl83]) ).
thf(zip_derived_cl340,plain,
( ~ ( aScalar0 @ xH )
| ~ ( aScalar0 @ xE )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
= ( sdtpldt0 @ xP @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xH ) @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl95]) ).
thf(zip_derived_cl80_052,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl74_053,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl83_054,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl372,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xH @ xH ) )
= ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xH @ xH ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl80,zip_derived_cl74,zip_derived_cl83]) ).
thf(zip_derived_cl9243_055,plain,
( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl9221,zip_derived_cl78]) ).
thf(zip_derived_cl9243_056,plain,
( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl9221,zip_derived_cl78]) ).
thf(zip_derived_cl11765,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xP @ xP ) @ ( sdtasdt0 @ xF @ xG ) )
= ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl9243,zip_derived_cl9243]) ).
thf(zip_derived_cl9243_057,plain,
( ( sdtasdt0 @ xF @ xG )
= ( sdtasdt0 @ xH @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl9221,zip_derived_cl78]) ).
thf(zip_derived_cl235665,plain,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtpldt0 @ xP @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xC @ xD ) @ ( sdtpldt0 @ xR @ ( sdtpldt0 @ xS @ ( sdtasdt0 @ xF @ xG ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1597,zip_derived_cl9243,zip_derived_cl9559,zip_derived_cl9243,zip_derived_cl11765,zip_derived_cl9243]) ).
thf(zip_derived_cl235720,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xE @ xE ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl235711,zip_derived_cl84,zip_derived_cl235665]) ).
thf(zip_derived_cl235729,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl235720]) ).
thf(zip_derived_cl74_058,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl74_059,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl235732,plain,
( ~ ( aScalar0 @ ( sdtpldt0 @ xP @ ( sdtasdt0 @ xF @ xG ) ) )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl235729,zip_derived_cl74,zip_derived_cl74]) ).
thf(zip_derived_cl235736,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xF @ xG ) )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl235732]) ).
thf(zip_derived_cl9559_060,plain,
aScalar0 @ ( sdtasdt0 @ xF @ xG ),
inference(demod,[status(thm)],[zip_derived_cl9242,zip_derived_cl9243]) ).
thf(zip_derived_cl84_061,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl235737,plain,
~ ( aScalar0 @ ( sdtpldt0 @ xR @ ( sdtasdt0 @ xC @ xD ) ) ),
inference(demod,[status(thm)],[zip_derived_cl235736,zip_derived_cl9559,zip_derived_cl84]) ).
thf(zip_derived_cl235740,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) )
| ~ ( aScalar0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl235737]) ).
thf(zip_derived_cl82_062,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl235741,plain,
~ ( aScalar0 @ ( sdtasdt0 @ xC @ xD ) ),
inference(demod,[status(thm)],[zip_derived_cl235740,zip_derived_cl82]) ).
thf(zip_derived_cl235743,plain,
( ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xC ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl235741]) ).
thf(zip_derived_cl72_063,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl70_064,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl235744,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl235743,zip_derived_cl72,zip_derived_cl70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG078+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5fYCUoRtkJ true
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 01:36:52 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.64 % Estimated wc time : 1092
% 0.23/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 249.56/36.63 % Solved by fo/fo13.sh.
% 249.56/36.63 % done 6418 iterations in 35.759s
% 249.56/36.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 249.56/36.63 % SZS output start Refutation
% See solution above
% 249.56/36.63
% 249.56/36.63
% 249.56/36.63 % Terminating...
% 249.79/36.74 % Runner terminated.
% 249.79/36.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------