TSTP Solution File: NUM463+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM463+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.q0uQ6Sj5rN true
% Computer : n009.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 12:41:37 EDT 2023
% Result : Theorem 31.86s 5.21s
% Output : Refutation 31.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 153 ( 49 unt; 8 typ; 0 def)
% Number of atoms : 403 ( 110 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 980 ( 192 ~; 178 |; 25 &; 530 @)
% ( 1 <=>; 15 =>; 39 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 81 ( 0 ^; 78 !; 3 ?; 81 :)
% 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(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xn_type,type,
xn: $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_cl1176,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_cl1196,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_cl1176,zip_derived_cl3]) ).
thf(zip_derived_cl1197,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_cl1196]) ).
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_cl50,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28285,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xn = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( sdtlseqdt0 @ sz10 @ xm )
| ( sz10 = xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1197,zip_derived_cl50]) ).
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(zip_derived_cl3_001,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl47_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl353,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ( sdtlseqdt0 @ X0 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl35]) ).
thf(zip_derived_cl862,plain,
( ( sdtlseqdt0 @ xm @ sz10 )
| ( sdtlseqdt0 @ sz10 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl353]) ).
thf(zip_derived_cl19783,plain,
( ( sdtlseqdt0 @ sz10 @ xm )
<= ( sdtlseqdt0 @ sz10 @ xm ) ),
inference(split,[status(esa)],[zip_derived_cl862]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
thf(zip_derived_cl19784,plain,
( ( sdtlseqdt0 @ xm @ sz10 )
<= ( sdtlseqdt0 @ xm @ sz10 ) ),
inference(split,[status(esa)],[zip_derived_cl862]) ).
thf(mLENTr,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 = sz00 )
| ( W0 = sz10 )
| ( ( sz10 != W0 )
& ( sdtlseqdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz10 @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLENTr]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl432,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz10 )
| ( X0 = sz10 )
| ~ ( sdtlseqdt0 @ X0 @ sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl32]) ).
thf(zip_derived_cl3_004,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl441,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz10 )
| ~ ( sdtlseqdt0 @ X0 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl3]) ).
thf(zip_derived_cl442,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ sz10 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl19817,plain,
( ( ( xm = sz10 )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ xm ) )
<= ( sdtlseqdt0 @ xm @ sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19784,zip_derived_cl442]) ).
thf(zip_derived_cl47_005,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl19840,plain,
( ( ( xm = sz10 )
| ( xm = sz00 ) )
<= ( sdtlseqdt0 @ xm @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl19817,zip_derived_cl47]) ).
thf(zip_derived_cl48,plain,
xm != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19841,plain,
( ( xm = sz10 )
<= ( sdtlseqdt0 @ xm @ sz10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19840,zip_derived_cl48]) ).
thf(zip_derived_cl50_006,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl70,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl34]) ).
thf(zip_derived_cl46_007,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl71,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= xn ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl46]) ).
thf(zip_derived_cl74,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= xn )
<= ( ( sdtasdt0 @ xn @ xm )
!= xn ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl73,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
<= ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
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_cl128,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
<= ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl5]) ).
thf(zip_derived_cl46_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl47_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf('0',plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl46,zip_derived_cl47]) ).
thf('1',plain,
( ( ( sdtasdt0 @ xn @ xm )
!= xn )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf('2',plain,
( ( sdtasdt0 @ xn @ xm )
!= xn ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl143,plain,
( ( sdtasdt0 @ xn @ xm )
!= xn ),
inference(simpl_trail,[status(thm)],[zip_derived_cl74,'2']) ).
thf(zip_derived_cl19859,plain,
( ( ( sdtasdt0 @ xn @ sz10 )
!= xn )
<= ( sdtlseqdt0 @ xm @ sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19841,zip_derived_cl143]) ).
thf(zip_derived_cl20396,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ( xn != xn ) )
<= ( sdtlseqdt0 @ xm @ sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl19859]) ).
thf(zip_derived_cl46_010,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl20401,plain,
( ( xn != xn )
<= ( sdtlseqdt0 @ xm @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl20396,zip_derived_cl46]) ).
thf('3',plain,
~ ( sdtlseqdt0 @ xm @ sz10 ),
inference(simplify,[status(thm)],[zip_derived_cl20401]) ).
thf('4',plain,
( ( sdtlseqdt0 @ sz10 @ xm )
| ( sdtlseqdt0 @ xm @ sz10 ) ),
inference(split,[status(esa)],[zip_derived_cl862]) ).
thf('5',plain,
sdtlseqdt0 @ sz10 @ xm,
inference('sat_resolution*',[status(thm)],['3','4']) ).
thf(zip_derived_cl20407,plain,
sdtlseqdt0 @ sz10 @ xm,
inference(simpl_trail,[status(thm)],[zip_derived_cl19783,'5']) ).
thf(zip_derived_cl28469,plain,
( ( xn = sz00 )
| ( sz10 = xm ) ),
inference(demod,[status(thm)],[zip_derived_cl28285,zip_derived_cl46,zip_derived_cl47,zip_derived_cl20407]) ).
thf(zip_derived_cl34_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl45_012,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz10 @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLENTr]) ).
thf(zip_derived_cl46_013,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl353_014,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ( sdtlseqdt0 @ X0 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl35]) ).
thf(zip_derived_cl866,plain,
( ( sdtlseqdt0 @ xm @ xn )
| ( sdtlseqdt0 @ xn @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl353]) ).
thf(zip_derived_cl897,plain,
( ( sdtlseqdt0 @ xn @ xm )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference(split,[status(esa)],[zip_derived_cl866]) ).
thf(mLETran,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLETran]) ).
thf(zip_derived_cl961,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( sdtlseqdt0 @ xm @ X0 ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl897,zip_derived_cl33]) ).
thf(zip_derived_cl47_015,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl46_016,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl976,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xn @ X0 )
| ~ ( sdtlseqdt0 @ xm @ X0 ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl961,zip_derived_cl47,zip_derived_cl46]) ).
thf(zip_derived_cl32_017,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl1453,plain,
( ! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 = xn )
| ~ ( sdtlseqdt0 @ X0 @ xn ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl32]) ).
thf(zip_derived_cl46_018,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl1474,plain,
( ! [X0: $i] :
( ~ ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = xn )
| ~ ( sdtlseqdt0 @ X0 @ xn ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1453,zip_derived_cl46]) ).
thf(zip_derived_cl1475,plain,
( ! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xn )
| ( X0 = xn )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ xm @ X0 ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl1474]) ).
thf(zip_derived_cl2297,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ( xn = sz00 )
| ( xn = sz10 )
| ( sz10 = xn )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( sdtlseqdt0 @ xm @ sz10 ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl1475]) ).
thf(zip_derived_cl46_019,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl3_020,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl2310,plain,
( ( ( xn = sz00 )
| ( xn = sz10 )
| ( sz10 = xn )
| ~ ( sdtlseqdt0 @ xm @ sz10 ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl2297,zip_derived_cl46,zip_derived_cl3]) ).
thf(zip_derived_cl2311,plain,
( ( ~ ( sdtlseqdt0 @ xm @ sz10 )
| ( xn = sz10 )
| ( xn = sz00 ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl2310]) ).
thf(zip_derived_cl34_021,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl46_022,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl35_023,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl349,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ sz00 @ X0 )
| ( sdtlseqdt0 @ X0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl35]) ).
thf(zip_derived_cl360,plain,
( ( sdtlseqdt0 @ sz00 @ xn )
| ( sdtlseqdt0 @ xn @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl349]) ).
thf(zip_derived_cl503,plain,
( ( sdtlseqdt0 @ sz00 @ xn )
<= ( sdtlseqdt0 @ sz00 @ xn ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf(zip_derived_cl32_024,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl568,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ sz00 )
| ( xn = sz00 )
| ~ ( sdtlseqdt0 @ xn @ sz00 ) )
<= ( sdtlseqdt0 @ sz00 @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl32]) ).
thf(zip_derived_cl46_025,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl1_026,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl571,plain,
( ( ( xn = sz00 )
| ~ ( sdtlseqdt0 @ xn @ sz00 ) )
<= ( sdtlseqdt0 @ sz00 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl568,zip_derived_cl46,zip_derived_cl1]) ).
thf(zip_derived_cl587,plain,
( ~ ( sdtlseqdt0 @ xn @ sz00 )
<= ~ ( sdtlseqdt0 @ xn @ sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl571]) ).
thf(zip_derived_cl591,plain,
( ( ( sz00 != xn )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ xn ) )
<= ~ ( sdtlseqdt0 @ xn @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl587]) ).
thf(zip_derived_cl1_027,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl46_028,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl593,plain,
( ( sz00 != xn )
<= ~ ( sdtlseqdt0 @ xn @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl1,zip_derived_cl46]) ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl502,plain,
( ( sdtlseqdt0 @ xn @ sz00 )
<= ( sdtlseqdt0 @ xn @ sz00 ) ),
inference(split,[status(esa)],[zip_derived_cl360]) ).
thf(zip_derived_cl32_029,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl504,plain,
( ( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ xn )
| ( sz00 = xn )
| ~ ( sdtlseqdt0 @ sz00 @ xn ) )
<= ( sdtlseqdt0 @ xn @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl32]) ).
thf(zip_derived_cl1_030,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl46_031,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl505,plain,
( ( ( sz00 = xn )
| ~ ( sdtlseqdt0 @ sz00 @ xn ) )
<= ( sdtlseqdt0 @ xn @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl1,zip_derived_cl46]) ).
thf(zip_derived_cl507,plain,
( ( sz00 = xn )
<= ( sz00 = xn ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl143_032,plain,
( ( sdtasdt0 @ xn @ xm )
!= xn ),
inference(simpl_trail,[status(thm)],[zip_derived_cl74,'2']) ).
thf(zip_derived_cl549,plain,
( ( ( sdtasdt0 @ sz00 @ xm )
!= sz00 )
<= ( sz00 = xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl143]) ).
thf(zip_derived_cl565,plain,
( ( ~ ( aNaturalNumber0 @ xm )
| ( sz00 != sz00 ) )
<= ( sz00 = xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl549]) ).
thf(zip_derived_cl47_033,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl566,plain,
( ( sz00 != sz00 )
<= ( sz00 = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl47]) ).
thf('6',plain,
sz00 != xn,
inference(simplify,[status(thm)],[zip_derived_cl566]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
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_cl575,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl27]) ).
thf(zip_derived_cl1_034,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl584,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl575,zip_derived_cl1]) ).
thf(zip_derived_cl585,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl584]) ).
thf(zip_derived_cl635,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ sz00 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl585]) ).
thf(zip_derived_cl636,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl635]) ).
thf(zip_derived_cl506,plain,
( ~ ( sdtlseqdt0 @ sz00 @ xn )
<= ~ ( sdtlseqdt0 @ sz00 @ xn ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf(zip_derived_cl639,plain,
( ~ ( aNaturalNumber0 @ xn )
<= ~ ( sdtlseqdt0 @ sz00 @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl506]) ).
thf(zip_derived_cl46_035,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf('7',plain,
sdtlseqdt0 @ sz00 @ xn,
inference(demod,[status(thm)],[zip_derived_cl639,zip_derived_cl46]) ).
thf('8',plain,
( ~ ( sdtlseqdt0 @ xn @ sz00 )
| ~ ( sdtlseqdt0 @ sz00 @ xn )
| ( sz00 = xn ) ),
inference(split,[status(esa)],[zip_derived_cl505]) ).
thf('9',plain,
~ ( sdtlseqdt0 @ xn @ sz00 ),
inference('sat_resolution*',[status(thm)],['6','7','8']) ).
thf(zip_derived_cl648,plain,
sz00 != xn,
inference(simpl_trail,[status(thm)],[zip_derived_cl593,'9']) ).
thf(zip_derived_cl2312,plain,
( ( ~ ( sdtlseqdt0 @ xm @ sz10 )
| ( xn = sz10 ) )
<= ( sdtlseqdt0 @ xn @ xm ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2311,zip_derived_cl648]) ).
thf(zip_derived_cl2318,plain,
( ~ ( sdtlseqdt0 @ xm @ sz10 )
<= ~ ( sdtlseqdt0 @ xm @ sz10 ) ),
inference(split,[status(esa)],[zip_derived_cl2312]) ).
thf(zip_derived_cl2322,plain,
( ( ( sz10 != xm )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ xm ) )
<= ~ ( sdtlseqdt0 @ xm @ sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl2318]) ).
thf(zip_derived_cl3_036,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl47_037,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl2324,plain,
( ( sz10 != xm )
<= ~ ( sdtlseqdt0 @ xm @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2322,zip_derived_cl3,zip_derived_cl47]) ).
thf('10',plain,
~ ( sdtlseqdt0 @ xm @ sz10 ),
inference('sat_resolution*',[status(thm)],['3']) ).
thf(zip_derived_cl20406,plain,
sz10 != xm,
inference(simpl_trail,[status(thm)],[zip_derived_cl2324,'10']) ).
thf(zip_derived_cl648_038,plain,
sz00 != xn,
inference(simpl_trail,[status(thm)],[zip_derived_cl593,'9']) ).
thf(zip_derived_cl28470,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28469,zip_derived_cl20406,zip_derived_cl648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q0uQ6Sj5rN true
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 13:23:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.57 % Total configuration time : 435
% 0.21/0.57 % Estimated wc time : 1092
% 0.21/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.86/5.21 % Solved by fo/fo1_av.sh.
% 31.86/5.21 % done 2909 iterations in 4.506s
% 31.86/5.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.86/5.21 % SZS output start Refutation
% See solution above
% 31.86/5.21
% 31.86/5.21
% 31.86/5.21 % Terminating...
% 33.19/5.30 % Runner terminated.
% 33.19/5.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------