%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM483+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F53NE8JdFk 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 Oct 2 04:47:09 PM UTC 2025
% Result : Theorem 139.92s 20.58s
% Output : Refutation 139.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 241 ( 83 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 533 ( 76 ~; 98 |; 42 &; 301 @)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 39 !; 11 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xk_type,type,
xk: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
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__1725,axiom,
~ ( ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ? [W1: $i] :
( ( xk
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
& ( doDivides0 @ W0 @ xk ) )
=> ( ( W0 = sz10 )
| ( W0 = xk ) ) )
| ( isPrime0 @ xk ) ) ).
thf(zip_derived_cl82,plain,
doDivides0 @ sk__5 @ xk,
inference(cnf,[status(esa)],[m__1725]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl255,plain,
( ( aNaturalNumber0 @ ( sk__1 @ xk @ sk__5 ) )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl50]) ).
thf(m__1716,axiom,
aNaturalNumber0 @ xk ).
thf(zip_derived_cl67,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl85,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl257,plain,
aNaturalNumber0 @ ( sk__1 @ xk @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl67,zip_derived_cl85]) ).
thf(zip_derived_cl367,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( sk__1 @ xk @ sk__5 ) @ X0 )
= ( sdtasdt0 @ X0 @ ( sk__1 @ xk @ sk__5 ) ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl257]) ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl14109,plain,
( ( ( sdtasdt0 @ sz00 @ ( sk__1 @ xk @ sk__5 ) )
= sz00 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xk @ sk__5 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl14]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl257_001,plain,
aNaturalNumber0 @ ( sk__1 @ xk @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl67,zip_derived_cl85]) ).
thf(zip_derived_cl14270,plain,
( ( sdtasdt0 @ sz00 @ ( sk__1 @ xk @ sk__5 ) )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl14109,zip_derived_cl1,zip_derived_cl257]) ).
thf(zip_derived_cl82_002,plain,
doDivides0 @ sk__5 @ xk,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl82_003,plain,
doDivides0 @ sk__5 @ xk,
inference(cnf,[status(esa)],[m__1725]) ).
thf(mDivLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdtlseqdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 = sz00 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivLE]) ).
thf(zip_derived_cl1016,plain,
( ( xk = sz00 )
| ( sdtlseqdt0 @ sk__5 @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl58]) ).
thf(zip_derived_cl67_004,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl85_005,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1018,plain,
( ( xk = sz00 )
| ( sdtlseqdt0 @ sk__5 @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1016,zip_derived_cl67,zip_derived_cl85]) ).
thf(m__1716_04,axiom,
( ( xk != sz10 )
& ( xk != sz00 ) ) ).
thf(zip_derived_cl78,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
thf(zip_derived_cl1019,plain,
sdtlseqdt0 @ sk__5 @ xk,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1018,zip_derived_cl78]) ).
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_cl1546,plain,
( ( sk__5 = xk )
| ( iLess0 @ sk__5 @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1019,zip_derived_cl48]) ).
thf(zip_derived_cl67_006,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl85_007,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1552,plain,
( ( sk__5 = xk )
| ( iLess0 @ sk__5 @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1546,zip_derived_cl67,zip_derived_cl85]) ).
thf(zip_derived_cl80,plain,
sk__5 != xk,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1553,plain,
iLess0 @ sk__5 @ xk,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl80]) ).
thf(m__1700,axiom,
! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( W0 != sz00 )
& ( W0 != sz10 ) )
=> ( ( iLess0 @ W0 @ xk )
=> ? [W1: $i] :
( ( isPrime0 @ W1 )
& ! [W2: $i] :
( ( ( aNaturalNumber0 @ W2 )
& ( ? [W3: $i] :
( ( W1
= ( sdtasdt0 @ W2 @ W3 ) )
& ( aNaturalNumber0 @ W3 ) )
| ( doDivides0 @ W2 @ W1 ) ) )
=> ( ( W2 = sz10 )
| ( W2 = W1 ) ) )
& ( W1 != sz10 )
& ( W1 != sz00 )
& ( doDivides0 @ W1 @ W0 )
& ? [W2: $i] :
( ( W0
= ( sdtasdt0 @ W1 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) )
& ( aNaturalNumber0 @ W1 ) ) ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( doDivides0 @ ( sk__3 @ X0 ) @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(zip_derived_cl1628,plain,
( ~ ( aNaturalNumber0 @ sk__5 )
| ( sk__5 = sz00 )
| ( sk__5 = sz10 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl71]) ).
thf(zip_derived_cl85_008,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1636,plain,
( ( sk__5 = sz00 )
| ( sk__5 = sz10 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl1628,zip_derived_cl85]) ).
thf(zip_derived_cl81,plain,
sk__5 != sz10,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1637,plain,
( ( sk__5 = sz00 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ sk__5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1636,zip_derived_cl81]) ).
thf(mDivTrans,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W1 @ W2 ) )
=> ( doDivides0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( doDivides0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mDivTrans]) ).
thf(zip_derived_cl1742,plain,
! [X0: $i] :
( ( sk__5 = sz00 )
| ~ ( doDivides0 @ sk__5 @ X0 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ sk__5 ) )
| ~ ( aNaturalNumber0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1637,zip_derived_cl55]) ).
thf(zip_derived_cl85_009,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1747,plain,
! [X0: $i] :
( ( sk__5 = sz00 )
| ~ ( doDivides0 @ sk__5 @ X0 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1742,zip_derived_cl85]) ).
thf(zip_derived_cl1553_010,plain,
iLess0 @ sk__5 @ xk,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl80]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(zip_derived_cl1626,plain,
( ~ ( aNaturalNumber0 @ sk__5 )
| ( sk__5 = sz00 )
| ( sk__5 = sz10 )
| ( aNaturalNumber0 @ ( sk__3 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl68]) ).
thf(zip_derived_cl85_011,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1632,plain,
( ( sk__5 = sz00 )
| ( sk__5 = sz10 )
| ( aNaturalNumber0 @ ( sk__3 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1626,zip_derived_cl85]) ).
thf(zip_derived_cl81_012,plain,
sk__5 != sz10,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1633,plain,
( ( sk__5 = sz00 )
| ( aNaturalNumber0 @ ( sk__3 @ sk__5 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1632,zip_derived_cl81]) ).
thf(zip_derived_cl124955,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ X0 )
| ~ ( doDivides0 @ sk__5 @ X0 )
| ( sk__5 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl1747,zip_derived_cl1633]) ).
thf(zip_derived_cl124966,plain,
( ( sk__5 = sz00 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ xk )
| ~ ( aNaturalNumber0 @ xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl124955]) ).
thf(zip_derived_cl67_013,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl124978,plain,
( ( sk__5 = sz00 )
| ( doDivides0 @ ( sk__3 @ sk__5 ) @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl124966,zip_derived_cl67]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( ( isPrime0 @ W0 )
| ( ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ? [W2: $i] :
( ( W0
= ( sdtasdt0 @ W1 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) )
& ( W0 != sz10 )
& ( W0 != sz00 ) ) )
& ( ( doDivides0 @ W0 @ xk )
| ? [W1: $i] :
( ( xk
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) ) )
& ( aNaturalNumber0 @ W0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ( ( isPrime0 @ W0 )
| ( ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ? [W2: $i] :
( ( W0
= ( sdtasdt0 @ W1 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) )
& ( W0 != sz10 )
& ( W0 != sz00 ) ) )
& ( ( doDivides0 @ W0 @ xk )
| ? [W1: $i] :
( ( xk
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) ) )
& ( aNaturalNumber0 @ W0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ~ ( doDivides0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125183,plain,
( ( sk__5 = sz00 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ sk__5 ) )
| ~ ( isPrime0 @ ( sk__3 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl124978,zip_derived_cl87]) ).
thf(zip_derived_cl1633_014,plain,
( ( sk__5 = sz00 )
| ( aNaturalNumber0 @ ( sk__3 @ sk__5 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1632,zip_derived_cl81]) ).
thf(zip_derived_cl125225,plain,
( ~ ( isPrime0 @ ( sk__3 @ sk__5 ) )
| ( sk__5 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl125183,zip_derived_cl1633]) ).
thf(zip_derived_cl1553_015,plain,
iLess0 @ sk__5 @ xk,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl80]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ~ ( iLess0 @ X0 @ xk )
| ( isPrime0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1700]) ).
thf(zip_derived_cl1631,plain,
( ~ ( aNaturalNumber0 @ sk__5 )
| ( sk__5 = sz00 )
| ( sk__5 = sz10 )
| ( isPrime0 @ ( sk__3 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl76]) ).
thf(zip_derived_cl85_016,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1642,plain,
( ( sk__5 = sz00 )
| ( sk__5 = sz10 )
| ( isPrime0 @ ( sk__3 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1631,zip_derived_cl85]) ).
thf(zip_derived_cl81_017,plain,
sk__5 != sz10,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1643,plain,
( ( sk__5 = sz00 )
| ( isPrime0 @ ( sk__3 @ sk__5 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1642,zip_derived_cl81]) ).
thf(zip_derived_cl125226,plain,
sk__5 = sz00,
inference(clc,[status(thm)],[zip_derived_cl125225,zip_derived_cl1643]) ).
thf(zip_derived_cl82_018,plain,
doDivides0 @ sk__5 @ xk,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl1564,plain,
( ( xk
= ( sdtasdt0 @ sk__5 @ ( sk__1 @ xk @ sk__5 ) ) )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl49]) ).
thf(zip_derived_cl67_019,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__1716]) ).
thf(zip_derived_cl85_020,plain,
aNaturalNumber0 @ sk__5,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl1568,plain,
( xk
= ( sdtasdt0 @ sk__5 @ ( sk__1 @ xk @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl67,zip_derived_cl85]) ).
thf(zip_derived_cl125226_021,plain,
sk__5 = sz00,
inference(clc,[status(thm)],[zip_derived_cl125225,zip_derived_cl1643]) ).
thf(zip_derived_cl125535,plain,
xk = sk__5,
inference(demod,[status(thm)],[zip_derived_cl14270,zip_derived_cl125226,zip_derived_cl1568,zip_derived_cl125226]) ).
thf(zip_derived_cl80_022,plain,
sk__5 != xk,
inference(cnf,[status(esa)],[m__1725]) ).
thf(zip_derived_cl125536,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl125535,zip_derived_cl80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM483+3 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F53NE8JdFk true
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:18:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.48/0.60 % Total configuration time : 435
% 0.48/0.60 % Estimated wc time : 1092
% 0.48/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 139.92/20.58 % Solved by fo/fo5.sh.
% 139.92/20.58 % done 8733 iterations in 19.827s
% 139.92/20.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 139.92/20.58 % SZS output start Refutation
% See solution above
% 139.92/20.59
% 139.92/20.59
% 139.92/20.59 % Terminating...
% 139.92/20.68 % Runner terminated.
% 139.92/20.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------