TSTP Solution File: NUM504+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM504+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.85qWrWE5et true
% Computer : n013.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 12:41:56 EDT 2023
% Result : Theorem 19.21s 3.43s
% Output : Refutation 19.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 108 ( 27 unt; 13 typ; 0 def)
% Number of atoms : 291 ( 92 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 836 ( 176 ~; 164 |; 18 &; 464 @)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 108 ( 0 ^; 107 !; 1 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
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(m__2306,axiom,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1792,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1794,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1792,zip_derived_cl70,zip_derived_cl74]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(mDefDiff,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( ( sdtpldt0 @ W0 @ W2 )
= W1 ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 )
| ( X2
= ( sdtmndt0 @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(mDefLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl1221,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_cl1224,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00
= ( sdtmndt0 @ X1 @ X0 ) )
| ( X0 != X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1221]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1233,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00
= ( sdtmndt0 @ X1 @ X0 ) )
| ( X0 != X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1224,zip_derived_cl1]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( X0 != X1 )
| ( sz00
= ( sdtmndt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1233]) ).
thf(zip_derived_cl1382,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sz00
= ( sdtmndt0 @ X0 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1234]) ).
thf(zip_derived_cl1383,plain,
! [X0: $i] :
( ( sz00
= ( sdtmndt0 @ X0 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1382]) ).
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_cl1420,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( ( sdtpldt0 @ X0 @ X1 )
= X0 )
| ~ ( sdtlseqdt0 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1383,zip_derived_cl29]) ).
thf(zip_derived_cl1422,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X0 )
| ( ( sdtpldt0 @ X0 @ X1 )
= X0 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1420]) ).
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(zip_derived_cl1538,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( ( sdtpldt0 @ X0 @ X1 )
= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1422,zip_derived_cl31]) ).
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_cl1540,plain,
! [X0: $i,X1: $i] :
( ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl6]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1540]) ).
thf(zip_derived_cl1383_001,plain,
! [X0: $i] :
( ( sz00
= ( sdtmndt0 @ X0 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1382]) ).
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_cl1421,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( aNaturalNumber0 @ X1 )
| ~ ( sdtlseqdt0 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1383,zip_derived_cl30]) ).
thf(zip_derived_cl1423,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X0 )
| ( aNaturalNumber0 @ X1 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1421]) ).
thf(zip_derived_cl31_002,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERefl]) ).
thf(zip_derived_cl1424,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( aNaturalNumber0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1423,zip_derived_cl31]) ).
thf(zip_derived_cl1595,plain,
! [X0: $i,X1: $i] :
( ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1565,zip_derived_cl1424]) ).
thf(zip_derived_cl27_003,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_cl1607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X2 != sz00 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X2 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl27]) ).
thf(zip_derived_cl1632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != X1 )
| ( sdtlseqdt0 @ X2 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X2 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1607]) ).
thf(zip_derived_cl1424_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ( aNaturalNumber0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1423,zip_derived_cl31]) ).
thf(zip_derived_cl1795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X2 != sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X2 @ X1 )
| ( X0 != X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1632,zip_derived_cl1424]) ).
thf(zip_derived_cl1796,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1795]) ).
thf(zip_derived_cl1797,plain,
! [X0: $i,X1: $i] :
( ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1796]) ).
thf(m__1870,axiom,
~ ( sdtlseqdt0 @ xp @ xn ) ).
thf(zip_derived_cl76,plain,
~ ( sdtlseqdt0 @ xp @ xn ),
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl1842,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xp != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1797,zip_derived_cl76]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1850,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl1842,zip_derived_cl72]) ).
thf(zip_derived_cl16598,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1794,zip_derived_cl1850]) ).
thf(zip_derived_cl16601,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl16598]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl16602,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16601,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl5_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl5_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl82_008,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1785,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
thf(zip_derived_cl70_009,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl74_010,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1787,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1785,zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl1850_011,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl1842,zip_derived_cl72]) ).
thf(zip_derived_cl2901,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1787,zip_derived_cl1850]) ).
thf(zip_derived_cl2902,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2901]) ).
thf(zip_derived_cl71_012,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_013,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2904,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2902,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl5_014,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__2414,axiom,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
& ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) ) ) ).
thf(zip_derived_cl93,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ),
inference(cnf,[status(esa)],[m__2414]) ).
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_cl1258,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl32]) ).
thf(zip_derived_cl94,plain,
( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2414]) ).
thf(zip_derived_cl1270,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1258,zip_derived_cl94]) ).
thf(zip_derived_cl1799,plain,
( ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1270]) ).
thf(zip_derived_cl70_015,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1800,plain,
( ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1799,zip_derived_cl70]) ).
thf(zip_derived_cl3016,plain,
( ( xk != xk )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2904,zip_derived_cl1800]) ).
thf(zip_derived_cl3024,plain,
( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3016]) ).
thf(zip_derived_cl6783,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3024]) ).
thf(zip_derived_cl71_016,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_017,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl6786,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xk ) @ ( sdtasdt0 @ xp @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl6783,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl18675,plain,
( ( xk != xk )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16602,zip_derived_cl6786]) ).
thf(zip_derived_cl95,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ),
inference(cnf,[status(esa)],[m__2414]) ).
thf(zip_derived_cl18815,plain,
xk != xk,
inference(demod,[status(thm)],[zip_derived_cl18675,zip_derived_cl95]) ).
thf(zip_derived_cl18816,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl18815]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM504+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.85qWrWE5et true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:33:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.72/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 19.21/3.43 % Solved by fo/fo6_bce.sh.
% 19.21/3.43 % BCE start: 98
% 19.21/3.43 % BCE eliminated: 1
% 19.21/3.43 % PE start: 97
% 19.21/3.43 logic: eq
% 19.21/3.43 % PE eliminated: 1
% 19.21/3.43 % done 934 iterations in 2.707s
% 19.21/3.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.21/3.43 % SZS output start Refutation
% See solution above
% 19.21/3.44
% 19.21/3.44
% 19.21/3.44 % Terminating...
% 20.20/3.55 % Runner terminated.
% 20.20/3.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------