TSTP Solution File: NUM510+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM510+3 : 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.9mkJQiZ7vo true
% Computer : n018.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 12:41:59 EDT 2023
% Result : Theorem 4.07s 0.99s
% Output : Refutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 110 ( 41 unt; 15 typ; 0 def)
% Number of atoms : 248 ( 135 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 611 ( 86 ~; 96 |; 41 &; 372 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 40 !; 7 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(xp_type,type,
xp: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $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(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(xk_type,type,
xk: $i ).
thf(xr_type,type,
xr: $i ).
thf(m__2306,axiom,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk ) ) ).
thf(zip_derived_cl116,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(m__,conjecture,
( ~ ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( ( sdtsldt0 @ xn @ xr )
= xn ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ~ ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( ( sdtsldt0 @ xn @ xr )
= xn ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl160,plain,
( ( ( sdtsldt0 @ xn @ xr )
= xn )
| ~ ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ X0 )
!= xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl890,plain,
( ( ( sdtsldt0 @ xn @ xr )
!= xn )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl157]) ).
thf(zip_derived_cl155,plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl386,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl896,plain,
( ( ( sdtsldt0 @ xn @ xr )
!= xn )
| ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl890,zip_derived_cl386,zip_derived_cl1]) ).
thf(zip_derived_cl162,plain,
( ( ( sdtsldt0 @ xn @ xr )
= xn )
| ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl897,plain,
( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(clc,[status(thm)],[zip_derived_cl896,zip_derived_cl162]) ).
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__2487,axiom,
( ( doDivides0 @ xr @ xn )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl149,plain,
( xn
= ( sdtasdt0 @ xr @ sk__17 ) ),
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl462,plain,
( ( xn
= ( sdtasdt0 @ sk__17 @ xr ) )
| ~ ( aNaturalNumber0 @ sk__17 )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('sup+',[status(thm)],[zip_derived_cl149,zip_derived_cl10]) ).
thf(zip_derived_cl150,plain,
aNaturalNumber0 @ sk__17,
inference(cnf,[status(esa)],[m__2487]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xr
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xr ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( doDivides0 @ xr @ xk )
& ? [W0: $i] :
( ( xk
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl122,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl478,plain,
( xn
= ( sdtasdt0 @ sk__17 @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl150,zip_derived_cl122]) ).
thf(mMulCanc,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X2 @ X0 )
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl1190,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ xr ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ sk__17 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__17 = X0 )
| ( xr = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl20]) ).
thf(zip_derived_cl122_002,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl150_003,plain,
aNaturalNumber0 @ sk__17,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl1240,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__17 = X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1190,zip_derived_cl122,zip_derived_cl150]) ).
thf(zip_derived_cl126,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1241,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__17 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1240,zip_derived_cl126]) ).
thf(zip_derived_cl1275,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__17 = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1241]) ).
thf(zip_derived_cl122_004,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1286,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__17 = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1275,zip_derived_cl122]) ).
thf(zip_derived_cl1287,plain,
! [X0: $i] :
( ( sk__17 = X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn
!= ( sdtasdt0 @ xr @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1286]) ).
thf(zip_derived_cl1459,plain,
( ( xn != xn )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( sk__17
= ( sdtsldt0 @ xn @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl897,zip_derived_cl1287]) ).
thf(zip_derived_cl386_005,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl1472,plain,
( ( xn != xn )
| ( sk__17
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1459,zip_derived_cl386]) ).
thf(zip_derived_cl1473,plain,
( sk__17
= ( sdtsldt0 @ xn @ xr ) ),
inference(simplify,[status(thm)],[zip_derived_cl1472]) ).
thf(zip_derived_cl1473_006,plain,
( sk__17
= ( sdtsldt0 @ xn @ xr ) ),
inference(simplify,[status(thm)],[zip_derived_cl1472]) ).
thf(zip_derived_cl1478,plain,
( ( sk__17 = xn )
| ~ ( sdtlseqdt0 @ sk__17 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl1473,zip_derived_cl1473]) ).
thf(zip_derived_cl478_007,plain,
( xn
= ( sdtasdt0 @ sk__17 @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl150,zip_derived_cl122]) ).
thf(mMonMul2,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( W0 != sz00 )
=> ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMonMul2]) ).
thf(zip_derived_cl3788,plain,
( ( sdtlseqdt0 @ sk__17 @ xn )
| ~ ( aNaturalNumber0 @ sk__17 )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl478,zip_derived_cl46]) ).
thf(zip_derived_cl150_008,plain,
aNaturalNumber0 @ sk__17,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl122_009,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl3816,plain,
( ( sdtlseqdt0 @ sk__17 @ xn )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3788,zip_derived_cl150,zip_derived_cl122]) ).
thf(zip_derived_cl126_010,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl3817,plain,
sdtlseqdt0 @ sk__17 @ xn,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3816,zip_derived_cl126]) ).
thf(zip_derived_cl3829,plain,
sk__17 = xn,
inference(demod,[status(thm)],[zip_derived_cl1478,zip_derived_cl3817]) ).
thf(zip_derived_cl3907,plain,
( ( sdtasdt0 @ sk__17 @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl3829]) ).
thf(m_MulUnit,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
thf(zip_derived_cl897_011,plain,
( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(clc,[status(thm)],[zip_derived_cl896,zip_derived_cl162]) ).
thf(zip_derived_cl20_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X2 @ X0 )
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl1184,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xn @ xr ) ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = X0 )
| ( ( sdtsldt0 @ xn @ xr )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl897,zip_derived_cl20]) ).
thf(zip_derived_cl386_013,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl122_014,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1232,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xn @ xr ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = X0 )
| ( ( sdtsldt0 @ xn @ xr )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1184,zip_derived_cl386,zip_derived_cl122]) ).
thf(zip_derived_cl1322,plain,
( ( xn
!= ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtsldt0 @ xn @ xr )
= sz00 )
| ( xr = sz10 )
| ~ ( aNaturalNumber0 @ sz10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1232]) ).
thf(zip_derived_cl386_015,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl3,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl1334,plain,
( ( xn
!= ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtsldt0 @ xn @ xr )
= sz00 )
| ( xr = sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1322,zip_derived_cl386,zip_derived_cl3]) ).
thf(zip_derived_cl127,plain,
xr != sz10,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1335,plain,
( ( xn
!= ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtsldt0 @ xn @ xr )
= sz00 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1334,zip_derived_cl127]) ).
thf(zip_derived_cl1473_016,plain,
( sk__17
= ( sdtsldt0 @ xn @ xr ) ),
inference(simplify,[status(thm)],[zip_derived_cl1472]) ).
thf(zip_derived_cl1473_017,plain,
( sk__17
= ( sdtsldt0 @ xn @ xr ) ),
inference(simplify,[status(thm)],[zip_derived_cl1472]) ).
thf(zip_derived_cl1487,plain,
( ( xn != sk__17 )
| ( sk__17 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1335,zip_derived_cl1473,zip_derived_cl1473]) ).
thf(zip_derived_cl3829_018,plain,
sk__17 = xn,
inference(demod,[status(thm)],[zip_derived_cl1478,zip_derived_cl3817]) ).
thf(zip_derived_cl3939,plain,
( ( sk__17 != sk__17 )
| ( sk__17 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1487,zip_derived_cl3829]) ).
thf(zip_derived_cl3940,plain,
sk__17 = sz00,
inference(simplify,[status(thm)],[zip_derived_cl3939]) ).
thf(zip_derived_cl5691,plain,
( ( sdtasdt0 @ sz00 @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl3907,zip_derived_cl3940]) ).
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_cl5706,plain,
( ( sz00
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl5691,zip_derived_cl15]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5726,plain,
( sz00
= ( sdtasdt0 @ xp @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl5706,zip_derived_cl71]) ).
thf(mZeroMul,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroMul]) ).
thf(zip_derived_cl5745,plain,
( ( sz00 != sz00 )
| ( xk = sz00 )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5726,zip_derived_cl24]) ).
thf(zip_derived_cl117,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5770,plain,
( ( sz00 != sz00 )
| ( xk = sz00 )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl5745,zip_derived_cl117,zip_derived_cl70]) ).
thf(zip_derived_cl5771,plain,
( ( xp = sz00 )
| ( xk = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5770]) ).
thf(m__2315,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ) ).
thf(zip_derived_cl119,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2315]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( isPrime0 @ xp )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xp
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( xp != sz10 )
& ( xp != sz00 ) ) ).
thf(zip_derived_cl95,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl5772,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5771,zip_derived_cl119,zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM510+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9mkJQiZ7vo true
% 0.07/0.26 % Computer : n018.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri Aug 25 14:19:58 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.26 % Python version: Python 3.6.8
% 0.07/0.26 % Running in FO mode
% 0.10/0.40 % Total configuration time : 435
% 0.10/0.40 % Estimated wc time : 1092
% 0.10/0.40 % Estimated cpu time (7 cpus) : 156.0
% 0.10/0.46 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.10/0.47 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.10/0.47 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.10/0.47 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.10/0.47 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.10/0.47 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.10/0.47 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.07/0.99 % Solved by fo/fo5.sh.
% 4.07/0.99 % done 819 iterations in 0.486s
% 4.07/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.07/0.99 % SZS output start Refutation
% See solution above
% 4.07/0.99
% 4.07/0.99
% 4.07/0.99 % Terminating...
% 4.83/1.11 % Runner terminated.
% 4.83/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------