TSTP Solution File: NUM463+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mp3EnHD4Nn true
% Computer : n011.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 26.89s 4.53s
% Output : Refutation 26.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 24
% Syntax : Number of formulae : 147 ( 47 unt; 10 typ; 0 def)
% Number of atoms : 384 ( 138 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 958 ( 207 ~; 212 |; 19 &; 504 @)
% ( 2 <=>; 14 =>; 0 <=; 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 : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 114 ( 0 ^; 113 !; 1 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sk__type,type,
sk_: $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(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(xn_type,type,
xn: $i ).
thf(mLERefl,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERefl]) ).
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(m__,conjecture,
( ( xm != sz00 )
=> ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( xm != sz00 )
=> ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl49,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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(zip_derived_cl12_001,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(zip_derived_cl49_002,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26008,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xn = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( sdtlseqdt0 @ sz10 @ xm )
| ( sz10 = xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1197,zip_derived_cl49]) ).
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_cl26125,plain,
( ( xn = sz00 )
| ~ ( sdtlseqdt0 @ sz10 @ xm )
| ( sz10 = xm ) ),
inference(demod,[status(thm)],[zip_derived_cl26008,zip_derived_cl46,zip_derived_cl47]) ).
thf(zip_derived_cl26127,plain,
( ~ ( aNaturalNumber0 @ xm )
| ( xm = sz00 )
| ( xm = sz10 )
| ( xn = sz00 )
| ( sz10 = xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl26125]) ).
thf(zip_derived_cl47_003,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl26128,plain,
( ( xm = sz00 )
| ( xm = sz10 )
| ( xn = sz00 )
| ( sz10 = xm ) ),
inference(demod,[status(thm)],[zip_derived_cl26127,zip_derived_cl47]) ).
thf(zip_derived_cl26129,plain,
( ( xn = sz00 )
| ( xm = sz10 )
| ( xm = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26128]) ).
thf(zip_derived_cl48,plain,
xm != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26130,plain,
( ( xn = sz00 )
| ( xm = sz10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26129,zip_derived_cl48]) ).
thf(zip_derived_cl31_004,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERefl]) ).
thf(zip_derived_cl31_005,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERefl]) ).
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_cl31_006,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERefl]) ).
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(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(zip_derived_cl786,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sk_ @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ sz00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl9]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl797,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sk_ @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ ( sk_ @ X0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl1]) ).
thf(zip_derived_cl799,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sk_ @ sz00 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk_ @ sz00 @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl797]) ).
thf(zip_derived_cl1_007,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_008,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl800,plain,
( ( ( sk_ @ sz00 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sk_ @ sz00 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl801,plain,
( ~ ( sdtlseqdt0 @ sz00 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sk_ @ sz00 @ sz00 )
= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl800]) ).
thf(zip_derived_cl1_009,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_010,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl802,plain,
( ~ ( sdtlseqdt0 @ sz00 @ sz00 )
| ( ( sk_ @ sz00 @ sz00 )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl801,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl820,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( ( sk_ @ sz00 @ sz00 )
= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl802]) ).
thf(zip_derived_cl1_011,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl821,plain,
( ( sk_ @ sz00 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl820,zip_derived_cl1]) ).
thf(zip_derived_cl25_012,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ ( sk_ @ X1 @ X0 ) )
= X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl822,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 )
| ~ ( sdtlseqdt0 @ sz00 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl821,zip_derived_cl25]) ).
thf(zip_derived_cl1_013,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_014,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl824,plain,
( ( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 )
| ~ ( sdtlseqdt0 @ sz00 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl826,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl824]) ).
thf(zip_derived_cl1_015,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl827,plain,
( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl1]) ).
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_cl856,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_cl862,plain,
! [X0: $i] :
( ( sz00
= ( sdtmndt0 @ X0 @ sz00 ) )
| ( sz00 != X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl827,zip_derived_cl856]) ).
thf(zip_derived_cl1_016,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_017,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl874,plain,
! [X0: $i] :
( ( sz00
= ( sdtmndt0 @ X0 @ sz00 ) )
| ( sz00 != X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl862,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_cl931,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00 != X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( ( sdtpldt0 @ sz00 @ X1 )
= X0 )
| ~ ( sdtlseqdt0 @ sz00 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl29]) ).
thf(zip_derived_cl1_018,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl933,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00 != X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( ( sdtpldt0 @ sz00 @ X1 )
= X0 )
| ~ ( sdtlseqdt0 @ sz00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl931,zip_derived_cl1]) ).
thf(zip_derived_cl934,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz00 @ X0 )
| ( ( sdtpldt0 @ sz00 @ X1 )
= X0 )
| ( X1 != sz00 )
| ( sz00 != X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl933]) ).
thf(zip_derived_cl827_019,plain,
( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl1]) ).
thf(zip_derived_cl27_020,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_cl836,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sz00 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl827,zip_derived_cl27]) ).
thf(zip_derived_cl1_021,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_022,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl851,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ sz00 @ X0 )
| ( sz00 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl836,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl1038,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00 != X0 )
| ( X1 != sz00 )
| ( ( sdtpldt0 @ sz00 @ X1 )
= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl934,zip_derived_cl851]) ).
thf(zip_derived_cl1039,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz00 @ X0 )
= sz00 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1038]) ).
thf(zip_derived_cl1_023,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1040,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz00 @ X0 )
= sz00 )
| ( X0 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1039,zip_derived_cl1]) ).
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_cl1042,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz00
= ( sdtpldt0 @ X0 @ sz00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1040,zip_derived_cl6]) ).
thf(zip_derived_cl1_024,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1064,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz00
= ( sdtpldt0 @ X0 @ sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1042,zip_derived_cl1]) ).
thf(zip_derived_cl27_025,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_cl1095,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sz00 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl27]) ).
thf(zip_derived_cl1_026,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1125,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( sz00 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1095,zip_derived_cl1]) ).
thf(zip_derived_cl1126,plain,
! [X0: $i,X1: $i] :
( ( sz00 != X0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1125]) ).
thf(zip_derived_cl827_027,plain,
( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl1]) ).
thf(zip_derived_cl856_028,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_cl866,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_cl856]) ).
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_cl15594,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sdtmndt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl866,zip_derived_cl4]) ).
thf(zip_derived_cl15613,plain,
( ( sz00
= ( sdtmndt0 @ sz00 @ sz00 ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl827,zip_derived_cl15594]) ).
thf(zip_derived_cl1_029,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_030,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl15654,plain,
( sz00
= ( sdtmndt0 @ sz00 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl15613,zip_derived_cl1,zip_derived_cl1]) ).
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_cl15671,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( X0 != sz00 )
| ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ sz00 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15654,zip_derived_cl30]) ).
thf(zip_derived_cl1_031,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_032,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl827_033,plain,
( ( sdtpldt0 @ sz00 @ sz00 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl1]) ).
thf(zip_derived_cl27_034,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_cl811,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_035,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl1346,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl811,zip_derived_cl4]) ).
thf(zip_derived_cl1357,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( sdtlseqdt0 @ sz00 @ sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl827,zip_derived_cl1346]) ).
thf(zip_derived_cl1_036,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1_037,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1372,plain,
sdtlseqdt0 @ sz00 @ sz00,
inference(demod,[status(thm)],[zip_derived_cl1357,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl15674,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15671,zip_derived_cl1,zip_derived_cl1,zip_derived_cl1372]) ).
thf(zip_derived_cl23304,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( X1 != sz00 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( sz00 != X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1126,zip_derived_cl15674]) ).
thf(zip_derived_cl15674_038,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15671,zip_derived_cl1,zip_derived_cl1,zip_derived_cl1372]) ).
thf(zip_derived_cl23305,plain,
! [X0: $i,X1: $i] :
( ( sz00 != X0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( X1 != sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl23304,zip_derived_cl15674]) ).
thf(zip_derived_cl49_039,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23314,plain,
( ( xn != sz00 )
| ( sz00
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23305,zip_derived_cl49]) ).
thf(zip_derived_cl26136,plain,
( ( xm = sz10 )
| ( sz00 != sz00 )
| ( sz00
!= ( sdtasdt0 @ sz00 @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26130,zip_derived_cl23314]) ).
thf(zip_derived_cl26138,plain,
( ( sz00
!= ( sdtasdt0 @ sz00 @ xm ) )
| ( xm = sz10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26136]) ).
thf(zip_derived_cl26140,plain,
( ~ ( aNaturalNumber0 @ xm )
| ( sz00 != sz00 )
| ( xm = sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl26138]) ).
thf(zip_derived_cl47_040,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl26141,plain,
( ( sz00 != sz00 )
| ( xm = sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl26140,zip_derived_cl47]) ).
thf(zip_derived_cl26142,plain,
xm = sz10,
inference(simplify,[status(thm)],[zip_derived_cl26141]) ).
thf(zip_derived_cl26155,plain,
~ ( sdtlseqdt0 @ xn @ ( sdtasdt0 @ xn @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl26142]) ).
thf(zip_derived_cl26165,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( sdtlseqdt0 @ xn @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl26155]) ).
thf(zip_derived_cl46_041,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl26169,plain,
~ ( sdtlseqdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl26165,zip_derived_cl46]) ).
thf(zip_derived_cl26173,plain,
~ ( aNaturalNumber0 @ xn ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl26169]) ).
thf(zip_derived_cl46_042,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__987]) ).
thf(zip_derived_cl26177,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl26173,zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mp3EnHD4Nn true
% 0.14/0.35 % Computer : n011.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 17:41:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % 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
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % 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
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 26.89/4.53 % Solved by fo/fo6_bce.sh.
% 26.89/4.53 % BCE start: 50
% 26.89/4.53 % BCE eliminated: 1
% 26.89/4.53 % PE start: 49
% 26.89/4.53 logic: eq
% 26.89/4.53 % PE eliminated: 0
% 26.89/4.53 % done 1129 iterations in 3.773s
% 26.89/4.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.89/4.53 % SZS output start Refutation
% See solution above
% 26.89/4.53
% 26.89/4.53
% 26.89/4.53 % Terminating...
% 27.54/4.58 % Runner terminated.
% 27.54/4.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------