TSTP Solution File: NUM493+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM493+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h05xCBJT1D true
% Computer : n012.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 12:41:51 EDT 2023
% Result : Theorem 2.26s 1.26s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 28
% Syntax : Number of formulae : 143 ( 57 unt; 12 typ; 0 def)
% Number of atoms : 346 ( 76 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1193 ( 186 ~; 179 |; 20 &; 792 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 109 ( 0 ^; 108 !; 1 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $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(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xr_type,type,
xr: $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(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(m__1883,axiom,
( xr
= ( sdtmndt0 @ xn @ xp ) ) ).
thf(zip_derived_cl77,plain,
( xr
= ( sdtmndt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__1883]) ).
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_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_cl657,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xr )
| ( ( sdtpldt0 @ xp @ X0 )
= xn )
| ~ ( sdtlseqdt0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl29]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1870,axiom,
sdtlseqdt0 @ xp @ xn ).
thf(zip_derived_cl76,plain,
sdtlseqdt0 @ xp @ xn,
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl661,plain,
! [X0: $i] :
( ( X0 != xr )
| ( ( sdtpldt0 @ xp @ X0 )
= xn ) ),
inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl70,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl675,plain,
( ( sdtpldt0 @ xp @ xr )
= xn ),
inference(eq_res,[status(thm)],[zip_derived_cl661]) ).
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_cl6_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl174]) ).
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_cl1986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl194,zip_derived_cl4]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl7_003,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_cl4_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl4_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl1882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl193,zip_derived_cl4]) ).
thf(zip_derived_cl7_006,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_cl4_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
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_cl208,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_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl2621,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtpldt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl208,zip_derived_cl4]) ).
thf(zip_derived_cl6_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl4_010,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl6_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl7_012,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(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__1913,axiom,
doDivides0 @ xp @ ( sdtasdt0 @ xr @ xm ) ).
thf(zip_derived_cl80,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xr @ xm ),
inference(cnf,[status(esa)],[m__1913]) ).
thf(zip_derived_cl257,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xm )
| ( doDivides0 @ xp @ ( sdtasdt0 @ xm @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl80]) ).
thf(zip_derived_cl77_013,plain,
( xr
= ( sdtmndt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__1883]) ).
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_cl159,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xr )
| ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl30]) ).
thf(zip_derived_cl70_014,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_015,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl76_016,plain,
sdtlseqdt0 @ xp @ xn,
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ( X0 != xr )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl70,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl171,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl287,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xm @ xr ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl171,zip_derived_cl71]) ).
thf(m__1799,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( isPrime0 @ W2 )
& ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) )
=> ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
=> ( ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ X2 @ X1 )
| ( doDivides0 @ X2 @ X0 )
| ~ ( doDivides0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( isPrime0 @ X2 ) ),
inference(cnf,[status(esa)],[m__1799]) ).
thf(zip_derived_cl1116,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ xm @ xr ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ xp @ xm )
| ( doDivides0 @ xp @ xr )
| ~ ( isPrime0 @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl73]) ).
thf(zip_derived_cl171_017,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl71_018,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_019,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__,conjecture,
( ( doDivides0 @ xp @ xr )
| ( doDivides0 @ xp @ xm ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( doDivides0 @ xp @ xr )
| ( doDivides0 @ xp @ xm ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl81,plain,
~ ( doDivides0 @ xp @ xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
~ ( doDivides0 @ xp @ xr ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1128,plain,
~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ xm @ xr ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1116,zip_derived_cl171,zip_derived_cl71,zip_derived_cl70,zip_derived_cl81,zip_derived_cl82,zip_derived_cl75]) ).
thf(zip_derived_cl1163,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( iLess0 @ ( sdtpldt0 @ xm @ ( sdtpldt0 @ xr @ xp ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1128]) ).
thf(zip_derived_cl70_020,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_021,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl171_022,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl1169,plain,
~ ( iLess0 @ ( sdtpldt0 @ xm @ ( sdtpldt0 @ xr @ xp ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1163,zip_derived_cl70,zip_derived_cl71,zip_derived_cl171]) ).
thf(zip_derived_cl1210,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( iLess0 @ ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ xr ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1169]) ).
thf(zip_derived_cl70_023,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl171_024,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl675_025,plain,
( ( sdtpldt0 @ xp @ xr )
= xn ),
inference(eq_res,[status(thm)],[zip_derived_cl661]) ).
thf(zip_derived_cl1215,plain,
~ ( iLess0 @ ( sdtpldt0 @ xm @ xn ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1210,zip_derived_cl70,zip_derived_cl171,zip_derived_cl675]) ).
thf(mIH_03,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ( iLess0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( iLess0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mIH_03]) ).
thf(zip_derived_cl1217,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xm @ xn )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1215,zip_derived_cl48]) ).
thf(zip_derived_cl3176,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xm @ xn )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1217]) ).
thf(zip_derived_cl72_026,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_027,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3180,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xm @ xn )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3176,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl3194,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xn @ xm ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3180]) ).
thf(zip_derived_cl72_028,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_029,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3200,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xn @ xm ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3194,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl3317,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2621,zip_derived_cl3200]) ).
thf(zip_derived_cl70_030,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3322,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3317,zip_derived_cl70]) ).
thf(zip_derived_cl3335,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3322]) ).
thf(zip_derived_cl71_031,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_032,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3337,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3335,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl3347,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3337]) ).
thf(zip_derived_cl70_033,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_034,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_035,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3352,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3347,zip_derived_cl70,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl3408,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1882,zip_derived_cl3352]) ).
thf(zip_derived_cl71_036,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_037,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_038,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3411,plain,
( ( sdtpldt0 @ xn @ xm )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3408,zip_derived_cl71,zip_derived_cl72,zip_derived_cl70]) ).
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_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= ( sdtpldt0 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl3424,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3411,zip_derived_cl18]) ).
thf(zip_derived_cl72_039,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3465,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3424,zip_derived_cl72]) ).
thf(zip_derived_cl3790,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3465]) ).
thf(zip_derived_cl70_040,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_041,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3791,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3790,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl3795,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1986,zip_derived_cl3791]) ).
thf(zip_derived_cl70_042,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_043,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3806,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = X0 )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3795,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl3807,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xm @ ( sdtpldt0 @ xp @ X0 ) ) )
| ( xn = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3806]) ).
thf(zip_derived_cl3893,plain,
( ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xm @ xn ) )
| ( xn = xr )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl3807]) ).
thf(zip_derived_cl171_044,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl3903,plain,
( ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xm @ xn ) )
| ( xn = xr ) ),
inference(demod,[status(thm)],[zip_derived_cl3893,zip_derived_cl171]) ).
thf(m__1894,axiom,
( ( sdtlseqdt0 @ xr @ xn )
& ( xr != xn ) ) ).
thf(zip_derived_cl79,plain,
xr != xn,
inference(cnf,[status(esa)],[m__1894]) ).
thf(zip_derived_cl3904,plain,
( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xm @ xn ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3903,zip_derived_cl79]) ).
thf(zip_derived_cl3905,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3904]) ).
thf(zip_derived_cl72_045,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_046,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3907,plain,
( ( sdtpldt0 @ xn @ xm )
!= ( sdtpldt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl3905,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl3908,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3907]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM493+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h05xCBJT1D true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 17:45:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.65 % Total configuration time : 435
% 0.19/0.65 % Estimated wc time : 1092
% 0.19/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.26/1.26 % Solved by fo/fo13.sh.
% 2.26/1.26 % done 607 iterations in 0.486s
% 2.26/1.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.26/1.26 % SZS output start Refutation
% See solution above
% 2.26/1.26
% 2.26/1.26
% 2.26/1.26 % Terminating...
% 2.77/1.38 % Runner terminated.
% 2.77/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------