TSTP Solution File: NUM465+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM465+2 : 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.9SwdxGRS6j true
% Computer : n014.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 12:41:39 EDT 2023
% Result : Theorem 39.19s 6.27s
% Output : Refutation 39.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 30
% Syntax : Number of formulae : 219 ( 71 unt; 11 typ; 0 def)
% Number of atoms : 536 ( 202 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1473 ( 303 ~; 249 |; 34 &; 842 @)
% ( 2 <=>; 21 =>; 22 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 162 ( 0 ^; 158 !; 4 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xm_type,type,
xm: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(xn_type,type,
xn: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(m_MulUnit,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
thf(mMonMul,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
thf(zip_derived_cl1613,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz10 @ X1 )
| ( sz10 = X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl41]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl3,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl1633,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz10 @ X1 )
| ( sz10 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1613,zip_derived_cl3]) ).
thf(zip_derived_cl1634,plain,
! [X0: $i,X1: $i] :
( ( sz10 = X1 )
| ~ ( sdtlseqdt0 @ sz10 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1633]) ).
thf(m__,conjecture,
( ( xm != sz00 )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= ( sdtasdt0 @ xn @ xm ) )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( xm != sz00 )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= ( sdtasdt0 @ xn @ xm ) )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl53,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37547,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xn = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( sdtlseqdt0 @ sz10 @ xm )
| ( sz10 = xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl53]) ).
thf(m__987,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm ) ) ).
thf(zip_derived_cl46,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl47,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(m__1007,axiom,
( ( xm != sz00 )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ sz10 @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
& ( sdtlseqdt0 @ sz10 @ xm ) ) ) ).
thf(zip_derived_cl50,plain,
( ( sdtlseqdt0 @ sz10 @ xm )
| ( xm = sz00 ) ),
inference(cnf,[status(esa)],[m__1007]) ).
thf(zip_derived_cl58,plain,
( ( sdtlseqdt0 @ sz10 @ xm )
<= ( sdtlseqdt0 @ sz10 @ xm ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl48,plain,
( ( aNaturalNumber0 @ sk__1 )
| ( xm = sz00 ) ),
inference(cnf,[status(esa)],[m__1007]) ).
thf(zip_derived_cl55,plain,
( ( xm = sz00 )
<= ( xm = sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl51,plain,
xm != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
( ( sz00 != sz00 )
<= ( xm = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl51]) ).
thf('0',plain,
xm != sz00,
inference(simplify,[status(thm)],[zip_derived_cl60]) ).
thf('1',plain,
( ( sdtlseqdt0 @ sz10 @ xm )
| ( xm = sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf('2',plain,
sdtlseqdt0 @ sz10 @ xm,
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl62,plain,
sdtlseqdt0 @ sz10 @ xm,
inference(simpl_trail,[status(thm)],[zip_derived_cl58,'2']) ).
thf(zip_derived_cl37729,plain,
( ( xn = sz00 )
| ( sz10 = xm ) ),
inference(demod,[status(thm)],[zip_derived_cl37547,zip_derived_cl46,zip_derived_cl47,zip_derived_cl62]) ).
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(zip_derived_cl49,plain,
( ( ( sdtpldt0 @ sz10 @ sk__1 )
= xm )
| ( xm = sz00 ) ),
inference(cnf,[status(esa)],[m__1007]) ).
thf(zip_derived_cl56,plain,
( ( ( sdtpldt0 @ sz10 @ sk__1 )
= xm )
<= ( ( sdtpldt0 @ sz10 @ sk__1 )
= xm ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('3',plain,
( ( ( sdtpldt0 @ sz10 @ sk__1 )
= xm )
| ( xm = sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('4',plain,
( ( sdtpldt0 @ sz10 @ sk__1 )
= xm ),
inference('sat_resolution*',[status(thm)],['0','3']) ).
thf(zip_derived_cl64,plain,
( ( sdtpldt0 @ sz10 @ sk__1 )
= xm ),
inference(simpl_trail,[status(thm)],[zip_derived_cl56,'4']) ).
thf(mAddCanc,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl607,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__1 = X0 )
| ( xm
!= ( sdtpldt0 @ sz10 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl19]) ).
thf(zip_derived_cl54,plain,
( ( aNaturalNumber0 @ sk__1 )
<= ( aNaturalNumber0 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('5',plain,
( ( aNaturalNumber0 @ sk__1 )
| ( xm = sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('6',plain,
aNaturalNumber0 @ sk__1,
inference('sat_resolution*',[status(thm)],['0','5']) ).
thf(zip_derived_cl63,plain,
aNaturalNumber0 @ sk__1,
inference(simpl_trail,[status(thm)],[zip_derived_cl54,'6']) ).
thf(zip_derived_cl3_001,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl633,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sk__1 = X0 )
| ( xm
!= ( sdtpldt0 @ sz10 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl607,zip_derived_cl63,zip_derived_cl3]) ).
thf(zip_derived_cl712,plain,
( ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sk__1 = sz00 )
| ( xm != sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl633]) ).
thf(zip_derived_cl3_002,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl719,plain,
( ( sk__1 = sz00 )
| ( xm != sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl723,plain,
( ( xm != sz10 )
<= ( xm != sz10 ) ),
inference(split,[status(esa)],[zip_derived_cl719]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
thf(zip_derived_cl722,plain,
( ( sk__1 = sz00 )
<= ( sk__1 = sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl719]) ).
thf(zip_derived_cl64_004,plain,
( ( sdtpldt0 @ sz10 @ sk__1 )
= xm ),
inference(simpl_trail,[status(thm)],[zip_derived_cl56,'4']) ).
thf(zip_derived_cl725,plain,
( ( ( sdtpldt0 @ sz10 @ sz00 )
= xm )
<= ( sk__1 = sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl64]) ).
thf(zip_derived_cl8_005,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl740,plain,
( ( ( xm = sz10 )
| ~ ( aNaturalNumber0 @ sz10 ) )
<= ( sk__1 = sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl8]) ).
thf(zip_derived_cl3_006,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl754,plain,
( ( xm = sz10 )
<= ( sk__1 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl3]) ).
thf(zip_derived_cl53_007,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl104,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl34]) ).
thf(zip_derived_cl46_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl105,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= xn ) ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl46]) ).
thf(zip_derived_cl108,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= xn )
<= ( ( sdtasdt0 @ xn @ xm )
!= xn ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl107,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
<= ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl110,plain,
( ( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) )
<= ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl107]) ).
thf(zip_derived_cl47_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl46_010,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf('7',plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl47,zip_derived_cl46]) ).
thf('8',plain,
( ( ( sdtasdt0 @ xn @ xm )
!= xn )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf('9',plain,
( ( sdtasdt0 @ xn @ xm )
!= xn ),
inference('sat_resolution*',[status(thm)],['7','8']) ).
thf(zip_derived_cl113,plain,
( ( sdtasdt0 @ xn @ xm )
!= xn ),
inference(simpl_trail,[status(thm)],[zip_derived_cl108,'9']) ).
thf(zip_derived_cl827,plain,
( ( ( sdtasdt0 @ xn @ sz10 )
!= xn )
<= ( sk__1 = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl113]) ).
thf(zip_derived_cl846,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ( xn != xn ) )
<= ( sk__1 = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl827]) ).
thf(zip_derived_cl46_011,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl849,plain,
( ( xn != xn )
<= ( sk__1 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl846,zip_derived_cl46]) ).
thf('10',plain,
sk__1 != sz00,
inference(simplify,[status(thm)],[zip_derived_cl849]) ).
thf('11',plain,
( ( xm != sz10 )
| ( sk__1 = sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl719]) ).
thf('12',plain,
xm != sz10,
inference('sat_resolution*',[status(thm)],['10','11']) ).
thf(zip_derived_cl851,plain,
xm != sz10,
inference(simpl_trail,[status(thm)],[zip_derived_cl723,'12']) ).
thf(zip_derived_cl34_012,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
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_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk_ @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ ( sk_ @ X1 @ X0 ) )
= X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(mSortsB,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl64_013,plain,
( ( sdtpldt0 @ sz10 @ sk__1 )
= xm ),
inference(simpl_trail,[status(thm)],[zip_derived_cl56,'4']) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ X0 )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sk__1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl7]) ).
thf(zip_derived_cl63_014,plain,
aNaturalNumber0 @ sk__1,
inference(simpl_trail,[status(thm)],[zip_derived_cl54,'6']) ).
thf(zip_derived_cl3_015,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ X0 )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sk__1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl63,zip_derived_cl3]) ).
thf(mZeroAdd,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtpldt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
& ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = sz00 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroAdd]) ).
thf(zip_derived_cl331,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__1 @ X0 ) )
| ( sz10 = sz00 )
| ( ( sdtpldt0 @ xm @ X0 )
!= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl22]) ).
thf(zip_derived_cl3_016,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl344,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__1 @ X0 ) )
| ( sz10 = sz00 )
| ( ( sdtpldt0 @ xm @ X0 )
!= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
sz10 != sz00,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__1 @ X0 ) )
| ( ( sdtpldt0 @ xm @ X0 )
!= sz00 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl344,zip_derived_cl2]) ).
thf(zip_derived_cl409,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ X0 )
!= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl345]) ).
thf(zip_derived_cl63_017,plain,
aNaturalNumber0 @ sk__1,
inference(simpl_trail,[status(thm)],[zip_derived_cl54,'6']) ).
thf(zip_derived_cl413,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ X0 )
!= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl63]) ).
thf(zip_derived_cl414,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xm @ X0 )
!= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl413]) ).
thf(zip_derived_cl864,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl414]) ).
thf(zip_derived_cl47_018,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl882,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl864,zip_derived_cl47]) ).
thf(zip_derived_cl1263,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl882]) ).
thf(zip_derived_cl47_019,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl1264,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1263,zip_derived_cl47]) ).
thf(zip_derived_cl1265,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ xm @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1264]) ).
thf(zip_derived_cl1271,plain,
! [X0: $i] :
( ( X0 != xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1265]) ).
thf(zip_derived_cl47_020,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl1274,plain,
! [X0: $i] :
( ( X0 != xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1271,zip_derived_cl47]) ).
thf(zip_derived_cl1275,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl1274]) ).
thf(zip_derived_cl46_021,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl1287,plain,
( ( xn != xm )
| ( xn != sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1275,zip_derived_cl46]) ).
thf(zip_derived_cl1303,plain,
( ( xn != sz00 )
<= ( xn != sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl1287]) ).
thf(zip_derived_cl5_022,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl8_023,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
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(zip_derived_cl8_024,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl186_025,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ X0 )
= ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ sk__1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl63,zip_derived_cl3]) ).
thf(zip_derived_cl337,plain,
( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtpldt0 @ xm @ sz00 )
= ( sdtpldt0 @ sz10 @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl186]) ).
thf(zip_derived_cl63_026,plain,
aNaturalNumber0 @ sk__1,
inference(simpl_trail,[status(thm)],[zip_derived_cl54,'6']) ).
thf(zip_derived_cl1_027,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl64_028,plain,
( ( sdtpldt0 @ sz10 @ sk__1 )
= xm ),
inference(simpl_trail,[status(thm)],[zip_derived_cl56,'4']) ).
thf(zip_derived_cl342,plain,
( ( sdtpldt0 @ xm @ sz00 )
= xm ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl63,zip_derived_cl1,zip_derived_cl64]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl354,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ sz00 )
| ( xm
= ( sdtpldt0 @ sz00 @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl342,zip_derived_cl6]) ).
thf(zip_derived_cl47_029,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl1_030,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl360,plain,
( xm
= ( sdtpldt0 @ sz00 @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl47,zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(mAMDistr,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl376,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ sz00 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ sz00 @ X1 ) @ sz00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl1_031,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl392,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ sz00 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ sz00 @ X1 ) @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl1]) ).
thf(zip_derived_cl393,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ sz00 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ sz00 @ X1 ) @ sz00 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl392]) ).
thf(zip_derived_cl7029,plain,
( ( ( sdtasdt0 @ sz00 @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ sz00 @ sz00 ) @ sz00 ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl393]) ).
thf(zip_derived_cl1_032,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl47_033,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl7061,plain,
( ( sdtasdt0 @ sz00 @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ sz00 @ sz00 ) @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl7029,zip_derived_cl1,zip_derived_cl47]) ).
thf(zip_derived_cl9338,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtasdt0 @ sz00 @ xm )
= ( sdtpldt0 @ sz00 @ sz00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl7061]) ).
thf(zip_derived_cl1_034,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl9342,plain,
( ( sdtasdt0 @ sz00 @ xm )
= ( sdtpldt0 @ sz00 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl9338,zip_derived_cl1]) ).
thf(zip_derived_cl15_035,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl9671,plain,
( ( sz00
= ( sdtpldt0 @ sz00 @ sz00 ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9342,zip_derived_cl15]) ).
thf(zip_derived_cl47_036,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl9721,plain,
( sz00
= ( sdtpldt0 @ sz00 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl9671,zip_derived_cl47]) ).
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(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_cl977,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_cl991,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtmndt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl977]) ).
thf(zip_derived_cl4_037,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl22056,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sdtmndt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl991,zip_derived_cl4]) ).
thf(zip_derived_cl22075,plain,
( ( sz00
= ( sdtmndt0 @ sz00 @ sz00 ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9721,zip_derived_cl22056]) ).
thf(zip_derived_cl1_038,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_039,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl22127,plain,
( sz00
= ( sdtmndt0 @ sz00 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl22075,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtmndt0 @ X1 @ X0 ) )
| ( ( sdtpldt0 @ X0 @ X2 )
= X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(zip_derived_cl22155,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( X0 != sz00 )
| ( ( sdtpldt0 @ sz00 @ X0 )
= sz00 )
| ~ ( sdtlseqdt0 @ sz00 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22127,zip_derived_cl29]) ).
thf(zip_derived_cl1_040,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_041,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl9721_042,plain,
( sz00
= ( sdtpldt0 @ sz00 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl9671,zip_derived_cl47]) ).
thf(zip_derived_cl27_043,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_cl906,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X1 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl4_044,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl20476,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl906,zip_derived_cl4]) ).
thf(zip_derived_cl20507,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( sdtlseqdt0 @ sz00 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9721,zip_derived_cl20476]) ).
thf(zip_derived_cl1_045,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_046,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl20559,plain,
sdtlseqdt0 @ sz00 @ sz00,
inference(demod,[status(thm)],[zip_derived_cl20507,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl22158,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ( ( sdtpldt0 @ sz00 @ X0 )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl22155,zip_derived_cl1,zip_derived_cl1,zip_derived_cl20559]) ).
thf(zip_derived_cl7_047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl6_048,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xn @ X0 )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ xn )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl52]) ).
thf(zip_derived_cl46_049,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ xn )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl46]) ).
thf(zip_derived_cl153,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ xn )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ xn ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl153]) ).
thf(zip_derived_cl46_050,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ xn ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl46]) ).
thf(zip_derived_cl4_051,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ xn ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl194,zip_derived_cl4]) ).
thf(zip_derived_cl23495,plain,
! [X0: $i] :
( ( xn != sz00 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22158,zip_derived_cl195]) ).
thf(zip_derived_cl1_052,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl23688,plain,
! [X0: $i] :
( ( xn != sz00 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl23495,zip_derived_cl1]) ).
thf(zip_derived_cl28464,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl23688]) ).
thf(zip_derived_cl28468,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl28464]) ).
thf(zip_derived_cl28480,plain,
( ! [X0: $i] :
( ( X0
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28468]) ).
thf(zip_derived_cl28491,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl28480]) ).
thf(zip_derived_cl28503,plain,
( ( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl28491]) ).
thf(zip_derived_cl47_053,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl46_054,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf('13',plain,
~ ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28503,zip_derived_cl47,zip_derived_cl46]) ).
thf('14',plain,
( ( xn != sz00 )
| ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X0 @ sz00 )
!= ( sdtasdt0 @ xn @ xm ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl23688]) ).
thf('15',plain,
xn != sz00,
inference('sat_resolution*',[status(thm)],['13','14']) ).
thf(zip_derived_cl28522,plain,
xn != sz00,
inference(simpl_trail,[status(thm)],[zip_derived_cl1303,'15']) ).
thf(zip_derived_cl37730,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37729,zip_derived_cl851,zip_derived_cl28522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM465+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9SwdxGRS6j true
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 10:51:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 39.19/6.27 % Solved by fo/fo1_av.sh.
% 39.19/6.27 % done 3833 iterations in 5.499s
% 39.19/6.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 39.19/6.27 % SZS output start Refutation
% See solution above
% 39.19/6.28
% 39.19/6.28
% 39.19/6.28 % Terminating...
% 39.84/6.37 % Runner terminated.
% 39.84/6.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------