TSTP Solution File: NUM483+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM483+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vdBc1iiwLJ 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 12:41:47 EDT 2023
% Result : Theorem 55.39s 8.58s
% Output : Refutation 55.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 32
% Syntax : Number of formulae : 235 ( 59 unt; 14 typ; 0 def)
% Number of atoms : 839 ( 299 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1966 ( 446 ~; 523 |; 33 &; 902 @)
% ( 4 <=>; 20 =>; 38 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 229 ( 0 ^; 224 !; 5 ?; 229 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(xk_type,type,
xk: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(m__1725,axiom,
~ ( isPrime0 @ xk ) ).
thf(zip_derived_cl73,plain,
~ ( isPrime0 @ xk ),
inference(cnf,[status(esa)],[m__1725]) ).
thf(mDefPrime,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( isPrime0 @ W0 )
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( doDivides0 @ ( sk__2 @ X0 ) @ X0 )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(mDivLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdtlseqdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 = sz00 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivLE]) ).
thf(zip_derived_cl811,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( isPrime0 @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ ( sk__2 @ X0 ) @ X0 )
| ( X0 = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl58]) ).
thf(zip_derived_cl818,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( sk__2 @ X0 ) @ X0 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ X0 ) )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl811]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( aNaturalNumber0 @ ( sk__2 @ X0 ) )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl25510,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( isPrime0 @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtlseqdt0 @ ( sk__2 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl818,zip_derived_cl63]) ).
thf(zip_derived_cl62_001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( doDivides0 @ ( sk__2 @ X0 ) @ X0 )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(mIH_03,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ( iLess0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( iLess0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mIH_03]) ).
thf(m__1700,axiom,
! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( W0 != sz00 )
& ( W0 != sz10 ) )
=> ( ( iLess0 @ W0 @ xk )
=> ? [W1: $i] :
( ( isPrime0 @ W1 )
& ( doDivides0 @ W1 @ W0 )
& ( aNaturalNumber0 @ W1 ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( doDivides0 @ ( sk__3 @ X0 ) @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(mDivTrans,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W1 @ W2 ) )
=> ( doDivides0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( doDivides0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mDivTrans]) ).
thf(zip_derived_cl1585,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( iLess0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ ( sk__3 @ X0 ) @ X1 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl55]) ).
thf(zip_derived_cl1596,plain,
! [X0: $i,X1: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ( doDivides0 @ ( sk__3 @ X0 ) @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1585]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(zip_derived_cl41959,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( iLess0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ ( sk__3 @ X0 ) @ X1 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1596,zip_derived_cl68]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( isPrime0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( isPrime0 @ W0 )
& ( doDivides0 @ W0 @ xk )
& ( aNaturalNumber0 @ W0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ( isPrime0 @ W0 )
& ( doDivides0 @ W0 @ xk )
& ( aNaturalNumber0 @ W0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ~ ( doDivides0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl525,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( iLess0 @ X0 @ xk )
| ~ ( doDivides0 @ ( sk__3 @ X0 ) @ xk )
| ~ ( aNaturalNumber0 @ ( sk__3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl68_002,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(zip_derived_cl1257,plain,
! [X0: $i] :
( ~ ( doDivides0 @ ( sk__3 @ X0 ) @ xk )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl525,zip_derived_cl68]) ).
thf(zip_derived_cl41968,plain,
! [X0: $i] :
( ~ ( doDivides0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41959,zip_derived_cl1257]) ).
thf(m__1716,axiom,
aNaturalNumber0 @ xk ).
thf(zip_derived_cl67,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl41976,plain,
! [X0: $i] :
( ~ ( doDivides0 @ X0 @ xk )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl41968,zip_derived_cl67]) ).
thf(zip_derived_cl41977,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( iLess0 @ X0 @ xk )
| ~ ( doDivides0 @ X0 @ xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl41976]) ).
thf(zip_derived_cl41981,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ ( sdtlseqdt0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( doDivides0 @ X0 @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl41977]) ).
thf(zip_derived_cl67_003,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl41982,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ ( sdtlseqdt0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( doDivides0 @ X0 @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl41981,zip_derived_cl67]) ).
thf(zip_derived_cl41983,plain,
! [X0: $i] :
( ~ ( doDivides0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xk )
| ( X0 = xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl41982]) ).
thf(zip_derived_cl42007,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( isPrime0 @ xk )
| ( xk = sz10 )
| ( xk = sz00 )
| ( ( sk__2 @ xk )
= sz10 )
| ( ( sk__2 @ xk )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
| ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk )
| ( ( sk__2 @ xk )
= xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl41983]) ).
thf(zip_derived_cl67_004,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl73_005,plain,
~ ( isPrime0 @ xk ),
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl42025,plain,
( ( xk = sz10 )
| ( xk = sz00 )
| ( ( sk__2 @ xk )
= sz10 )
| ( ( sk__2 @ xk )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
| ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk )
| ( ( sk__2 @ xk )
= xk ) ),
inference(demod,[status(thm)],[zip_derived_cl42007,zip_derived_cl67,zip_derived_cl73]) ).
thf(m__1716_04,axiom,
( ( xk != sz10 )
& ( xk != sz00 ) ) ).
thf(zip_derived_cl72,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl71,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl42026,plain,
( ( ( sk__2 @ xk )
= sz10 )
| ( ( sk__2 @ xk )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
| ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk )
| ( ( sk__2 @ xk )
= xk ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl42025,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl42531,plain,
( ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk )
<= ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk ) ),
inference(split,[status(esa)],[zip_derived_cl42026]) ).
thf(zip_derived_cl42542,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( isPrime0 @ xk )
| ~ ( aNaturalNumber0 @ xk ) )
<= ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25510,zip_derived_cl42531]) ).
thf(zip_derived_cl67_006,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl42547,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( isPrime0 @ xk ) )
<= ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl42542,zip_derived_cl67]) ).
thf(zip_derived_cl71_007,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl72_008,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl42548,plain,
( ( isPrime0 @ xk )
<= ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl42547,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl63_009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( aNaturalNumber0 @ ( sk__2 @ X0 ) )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl25510_010,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( isPrime0 @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtlseqdt0 @ ( sk__2 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl818,zip_derived_cl63]) ).
thf(zip_derived_cl48_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( iLess0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mIH_03]) ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl51]) ).
thf(zip_derived_cl673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( doDivides0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl665]) ).
thf(zip_derived_cl1361,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( doDivides0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl673]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1370,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( doDivides0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1361,zip_derived_cl1]) ).
thf(zip_derived_cl1371,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ sz00 @ X1 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1370]) ).
thf(zip_derived_cl1381,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ sz00 @ X0 )
| ( X0 != sz00 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1371]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(mDefDiff,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( ( sdtpldt0 @ W0 @ W2 )
= W1 ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 )
| ( X2
= ( sdtmndt0 @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(mDefLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sdtmndt0 @ X1 @ X0 ) )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).
thf(zip_derived_cl826,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00
= ( sdtmndt0 @ X1 @ X0 ) )
| ( X0 != X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl823]) ).
thf(zip_derived_cl1_012,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl835,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00
= ( sdtmndt0 @ X1 @ X0 ) )
| ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl1]) ).
thf(zip_derived_cl836,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( X0 != X1 )
| ( sz00
= ( sdtmndt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl835]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtmndt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(zip_derived_cl1063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl836,zip_derived_cl30]) ).
thf(zip_derived_cl1068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( aNaturalNumber0 @ X2 )
| ( X2 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1063]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl1071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1068,zip_derived_cl34]) ).
thf(zip_derived_cl1072,plain,
( ! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) )
<= ! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1071]) ).
thf(zip_derived_cl1073,plain,
( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) )
<= ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1071]) ).
thf(zip_derived_cl1077,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1073]) ).
thf(zip_derived_cl1078,plain,
( ! [X0: $i] :
~ ( aNaturalNumber0 @ X0 )
<= ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1077]) ).
thf(zip_derived_cl1_013,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf('0',plain,
~ ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1078,zip_derived_cl1]) ).
thf('1',plain,
( ! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) )
| ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1071]) ).
thf('2',plain,
! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl1115,plain,
! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1072,'2']) ).
thf(zip_derived_cl1382,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ( doDivides0 @ sz00 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1381,zip_derived_cl1115]) ).
thf(zip_derived_cl8_014,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(mDivMin,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
=> ( doDivides0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( doDivides0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDivMin]) ).
thf(zip_derived_cl1681,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( doDivides0 @ X1 @ sz00 )
| ~ ( doDivides0 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl57]) ).
thf(zip_derived_cl1_015,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1694,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X1 @ sz00 )
| ~ ( doDivides0 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1681,zip_derived_cl1]) ).
thf(zip_derived_cl1695,plain,
! [X0: $i,X1: $i] :
( ( doDivides0 @ X1 @ sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( doDivides0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1694]) ).
thf(zip_derived_cl1704,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ( doDivides0 @ sz00 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1382,zip_derived_cl1695]) ).
thf(zip_derived_cl1_016,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1712,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ( doDivides0 @ sz00 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1704,zip_derived_cl1]) ).
thf(zip_derived_cl1115_017,plain,
! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1072,'2']) ).
thf(zip_derived_cl1798,plain,
! [X0: $i] :
( ( doDivides0 @ sz00 @ sz00 )
| ( X0 != sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl1712,zip_derived_cl1115]) ).
thf(zip_derived_cl1800,plain,
( ( doDivides0 @ sz00 @ sz00 )
<= ( doDivides0 @ sz00 @ sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl1798]) ).
thf(zip_derived_cl1799,plain,
( ! [X0: $i] : ( X0 != sz00 )
<= ! [X0: $i] : ( X0 != sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl1798]) ).
thf('3',plain,
~ ! [X0: $i] : ( X0 != sz00 ),
inference(eq_res,[status(thm)],[zip_derived_cl1799]) ).
thf('4',plain,
( ( doDivides0 @ sz00 @ sz00 )
| ! [X0: $i] : ( X0 != sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl1798]) ).
thf('5',plain,
doDivides0 @ sz00 @ sz00,
inference('sat_resolution*',[status(thm)],['3','4']) ).
thf(zip_derived_cl1802,plain,
doDivides0 @ sz00 @ sz00,
inference(simpl_trail,[status(thm)],[zip_derived_cl1800,'5']) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl673_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( doDivides0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl665]) ).
thf(zip_derived_cl1364,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl673]) ).
thf(zip_derived_cl1_019,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1375,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1364,zip_derived_cl1]) ).
thf(zip_derived_cl1376,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1375]) ).
thf(zip_derived_cl1115_020,plain,
! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1072,'2']) ).
thf(zip_derived_cl1394,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( doDivides0 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1376,zip_derived_cl1115]) ).
thf(zip_derived_cl55_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( doDivides0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mDivTrans]) ).
thf(zip_derived_cl1581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X1 @ X2 )
| ~ ( doDivides0 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl55]) ).
thf(zip_derived_cl1591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X2 )
| ( doDivides0 @ X1 @ X2 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 != sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1581]) ).
thf(zip_derived_cl1115_022,plain,
! [X2: $i] :
( ( X2 != sz00 )
| ( aNaturalNumber0 @ X2 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1072,'2']) ).
thf(zip_derived_cl1599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X1 @ X2 )
| ~ ( doDivides0 @ X0 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1591,zip_derived_cl1115]) ).
thf(zip_derived_cl1805,plain,
! [X0: $i] :
( ( sz00 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( doDivides0 @ X0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1802,zip_derived_cl1599]) ).
thf(zip_derived_cl1_023,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1811,plain,
! [X0: $i] :
( ( sz00 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X0 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1805,zip_derived_cl1]) ).
thf(zip_derived_cl1812,plain,
! [X0: $i] :
( ( doDivides0 @ X0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1811]) ).
thf(zip_derived_cl1382_024,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ( doDivides0 @ sz00 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1381,zip_derived_cl1115]) ).
thf(zip_derived_cl57_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( doDivides0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDivMin]) ).
thf(zip_derived_cl1675,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
!= sz00 )
| ~ ( doDivides0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ sz00 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1382,zip_derived_cl57]) ).
thf(zip_derived_cl1_026,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1690,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ X0 )
!= sz00 )
| ~ ( doDivides0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ sz00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1675,zip_derived_cl1]) ).
thf(zip_derived_cl1991,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtpldt0 @ sz00 @ X0 )
!= sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ sz00 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1812,zip_derived_cl1690]) ).
thf(zip_derived_cl1_027,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_028,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl2000,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz00 @ X0 )
!= sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ sz00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1991,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl1599_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X1 @ X2 )
| ~ ( doDivides0 @ X0 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1591,zip_derived_cl1115]) ).
thf(zip_derived_cl2005,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ sz00 @ X0 )
!= sz00 )
| ( sz00 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2000,zip_derived_cl1599]) ).
thf(zip_derived_cl2015,plain,
! [X0: $i,X1: $i] :
( ( doDivides0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ sz00 @ X0 )
!= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2005]) ).
thf(zip_derived_cl1257_030,plain,
! [X0: $i] :
( ~ ( doDivides0 @ ( sk__3 @ X0 ) @ xk )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl525,zip_derived_cl68]) ).
thf(zip_derived_cl2063,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xk )
| ( ( sdtpldt0 @ sz00 @ xk )
!= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2015,zip_derived_cl1257]) ).
thf(zip_derived_cl67_031,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl2075,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz00 @ xk )
!= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ~ ( iLess0 @ X0 @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2063,zip_derived_cl67]) ).
thf(zip_derived_cl68_032,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(zip_derived_cl2076,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( iLess0 @ X0 @ xk )
| ( ( sdtpldt0 @ sz00 @ xk )
!= sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl2075,zip_derived_cl68]) ).
thf(zip_derived_cl2077,plain,
( ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) ) ),
inference(split,[status(esa)],[zip_derived_cl2076]) ).
thf(zip_derived_cl2080,plain,
( ! [X0: $i] :
( ( X0 = xk )
| ~ ( sdtlseqdt0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl2077]) ).
thf(zip_derived_cl67_033,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl2081,plain,
( ! [X0: $i] :
( ( X0 = xk )
| ~ ( sdtlseqdt0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2080,zip_derived_cl67]) ).
thf(zip_derived_cl2082,plain,
( ! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ xk )
| ( X0 = xk ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2081]) ).
thf(zip_derived_cl25521,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( isPrime0 @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ( ( sk__2 @ xk )
= sz10 )
| ( ( sk__2 @ xk )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
| ( ( sk__2 @ xk )
= xk ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25510,zip_derived_cl2082]) ).
thf(zip_derived_cl73_034,plain,
~ ( isPrime0 @ xk ),
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl67_035,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl25536,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( ( sk__2 @ xk )
= sz10 )
| ( ( sk__2 @ xk )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
| ( ( sk__2 @ xk )
= xk ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25521,zip_derived_cl73,zip_derived_cl67]) ).
thf(zip_derived_cl71_036,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl72_037,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl25537,plain,
( ( ( ( sk__2 @ xk )
= sz10 )
| ( ( sk__2 @ xk )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
| ( ( sk__2 @ xk )
= xk ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( iLess0 @ X0 @ xk ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25536,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl25755,plain,
( ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
<= ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) ) ),
inference(split,[status(esa)],[zip_derived_cl25537]) ).
thf(zip_derived_cl25762,plain,
( ( ~ ( aNaturalNumber0 @ xk )
| ( isPrime0 @ xk )
| ( xk = sz10 )
| ( xk = sz00 ) )
<= ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl25755]) ).
thf(zip_derived_cl67_038,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl25763,plain,
( ( ( isPrime0 @ xk )
| ( xk = sz10 )
| ( xk = sz00 ) )
<= ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25762,zip_derived_cl67]) ).
thf(zip_derived_cl72_039,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl71_040,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl25764,plain,
( ( isPrime0 @ xk )
<= ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25763,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl73_041,plain,
~ ( isPrime0 @ xk ),
inference(cnf,[status(esa)],[m__1725]) ).
thf('6',plain,
aNaturalNumber0 @ ( sk__2 @ xk ),
inference('s_sup-',[status(thm)],[zip_derived_cl25764,zip_derived_cl73]) ).
thf(zip_derived_cl25756,plain,
( ( ( sk__2 @ xk )
= xk )
<= ( ( sk__2 @ xk )
= xk ) ),
inference(split,[status(esa)],[zip_derived_cl25537]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( ( sk__2 @ X0 )
!= X0 )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl25890,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( xk != xk )
| ( isPrime0 @ xk )
| ~ ( aNaturalNumber0 @ xk ) )
<= ( ( sk__2 @ xk )
= xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25756,zip_derived_cl60]) ).
thf(zip_derived_cl67_042,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl25897,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( xk != xk )
| ( isPrime0 @ xk ) )
<= ( ( sk__2 @ xk )
= xk ) ),
inference(demod,[status(thm)],[zip_derived_cl25890,zip_derived_cl67]) ).
thf(zip_derived_cl25898,plain,
( ( ( isPrime0 @ xk )
| ( xk = sz10 )
| ( xk = sz00 ) )
<= ( ( sk__2 @ xk )
= xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl25897]) ).
thf(zip_derived_cl72_043,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl71_044,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl25899,plain,
( ( isPrime0 @ xk )
<= ( ( sk__2 @ xk )
= xk ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25898,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl73_045,plain,
~ ( isPrime0 @ xk ),
inference(cnf,[status(esa)],[m__1725]) ).
thf('7',plain,
( ( sk__2 @ xk )
!= xk ),
inference('s_sup-',[status(thm)],[zip_derived_cl25899,zip_derived_cl73]) ).
thf(zip_derived_cl25757,plain,
( ( ( sk__2 @ xk )
= sz10 )
<= ( ( sk__2 @ xk )
= sz10 ) ),
inference(split,[status(esa)],[zip_derived_cl25537]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( ( sk__2 @ X0 )
!= sz10 )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl25999,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( sz10 != sz10 )
| ( isPrime0 @ xk )
| ~ ( aNaturalNumber0 @ xk ) )
<= ( ( sk__2 @ xk )
= sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25757,zip_derived_cl61]) ).
thf(zip_derived_cl67_046,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl26007,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( sz10 != sz10 )
| ( isPrime0 @ xk ) )
<= ( ( sk__2 @ xk )
= sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl25999,zip_derived_cl67]) ).
thf(zip_derived_cl26008,plain,
( ( ( isPrime0 @ xk )
| ( xk = sz10 )
| ( xk = sz00 ) )
<= ( ( sk__2 @ xk )
= sz10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26007]) ).
thf(zip_derived_cl72_047,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl71_048,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl26009,plain,
( ( isPrime0 @ xk )
<= ( ( sk__2 @ xk )
= sz10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26008,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl73_049,plain,
~ ( isPrime0 @ xk ),
inference(cnf,[status(esa)],[m__1725]) ).
thf('8',plain,
( ( sk__2 @ xk )
!= sz10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl26009,zip_derived_cl73]) ).
thf(zip_derived_cl25758,plain,
( ( ( sk__2 @ xk )
= sz00 )
<= ( ( sk__2 @ xk )
= sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl25537]) ).
thf(zip_derived_cl62_050,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( doDivides0 @ ( sk__2 @ X0 ) @ X0 )
| ( isPrime0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl26039,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( doDivides0 @ sz00 @ xk )
| ( isPrime0 @ xk )
| ~ ( aNaturalNumber0 @ xk ) )
<= ( ( sk__2 @ xk )
= sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25758,zip_derived_cl62]) ).
thf(zip_derived_cl67_051,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl26048,plain,
( ( ( xk = sz00 )
| ( xk = sz10 )
| ( doDivides0 @ sz00 @ xk )
| ( isPrime0 @ xk ) )
<= ( ( sk__2 @ xk )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl26039,zip_derived_cl67]) ).
thf(zip_derived_cl71_052,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl72_053,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl26049,plain,
( ( ( doDivides0 @ sz00 @ xk )
| ( isPrime0 @ xk ) )
<= ( ( sk__2 @ xk )
= sz00 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26048,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl73_054,plain,
~ ( isPrime0 @ xk ),
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl26062,plain,
( ( doDivides0 @ sz00 @ xk )
<= ( ( sk__2 @ xk )
= sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl26049,zip_derived_cl73]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl15_055,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl1146,plain,
! [X0: $i] :
( ~ ( doDivides0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sz00 = X0 )
| ~ ( aNaturalNumber0 @ ( sk__1 @ X0 @ sz00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl15]) ).
thf(zip_derived_cl1_056,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1163,plain,
! [X0: $i] :
( ~ ( doDivides0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz00 = X0 )
| ~ ( aNaturalNumber0 @ ( sk__1 @ X0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1146,zip_derived_cl1]) ).
thf(zip_derived_cl1169,plain,
! [X0: $i] :
( ~ ( doDivides0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( doDivides0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz00 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1163]) ).
thf(zip_derived_cl1_057,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1170,plain,
! [X0: $i] :
( ~ ( doDivides0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz00 = X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1169,zip_derived_cl1]) ).
thf(zip_derived_cl1171,plain,
! [X0: $i] :
( ( sz00 = X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ sz00 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1170]) ).
thf(zip_derived_cl26076,plain,
( ( ( sz00 = xk )
| ~ ( aNaturalNumber0 @ xk ) )
<= ( ( sk__2 @ xk )
= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26062,zip_derived_cl1171]) ).
thf(zip_derived_cl67_058,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl26101,plain,
( ( sz00 = xk )
<= ( ( sk__2 @ xk )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl26076,zip_derived_cl67]) ).
thf(zip_derived_cl72_059,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf('9',plain,
( ( sk__2 @ xk )
!= sz00 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26101,zip_derived_cl72]) ).
thf('10',plain,
( ( ( sk__2 @ xk )
= sz00 )
| ( ( sk__2 @ xk )
= sz10 )
| ( ( sk__2 @ xk )
= xk )
| ~ ( aNaturalNumber0 @ ( sk__2 @ xk ) )
| ~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk ) ),
inference(split,[status(esa)],[zip_derived_cl42026]) ).
thf('11',plain,
~ ( sdtlseqdt0 @ ( sk__2 @ xk ) @ xk ),
inference('sat_resolution*',[status(thm)],['6','7','8','9','10']) ).
thf(zip_derived_cl42549,plain,
isPrime0 @ xk,
inference(simpl_trail,[status(thm)],[zip_derived_cl42548,'11']) ).
thf(zip_derived_cl42563,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl42549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM483+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vdBc1iiwLJ true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 08:26:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 55.39/8.57 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 55.39/8.58 % Solved by fo/fo1_av.sh.
% 55.39/8.58 % done 3531 iterations in 7.774s
% 55.39/8.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 55.39/8.58 % SZS output start Refutation
% See solution above
% 55.39/8.58
% 55.39/8.58
% 55.39/8.59 % Terminating...
% 56.02/8.72 % Runner terminated.
% 56.02/8.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------