TSTP Solution File: NUM448+5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM448+5 : 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.uXST0tYKaD true
% Computer : n006.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 12:41:30 EDT 2023
% Result : Theorem 18.20s 3.28s
% Output : Refutation 18.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 105 ( 9 unt; 24 typ; 0 def)
% Number of atoms : 290 ( 78 equ; 0 cnn)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 772 ( 109 ~; 122 |; 53 &; 454 @)
% ( 14 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 6 con; 0-2 aty)
% Number of variables : 75 ( 0 ^; 54 !; 21 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(cS2076_type,type,
cS2076: $i ).
thf(sz10_type,type,
sz10: $i ).
thf(xS_type,type,
xS: $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $o ).
thf(sk__19_type,type,
sk__19: $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(sbsmnsldt0_type,type,
sbsmnsldt0: $i > $i ).
thf(stldt0_type,type,
stldt0: $i > $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(m__,conjecture,
( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ? [W1: $i] :
( ( ( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ? [W2: $i] :
( ( aInteger0 @ W2 )
& ( ( sdtasdt0 @ W1 @ W2 )
= W0 ) ) )
| ( aDivisorOf0 @ W1 @ W0 ) )
& ( isPrime0 @ W1 ) )
=> ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ( ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ? [W2: $i] :
( ( aInteger0 @ W2 )
& ( ( sdtasdt0 @ W1 @ W2 )
= W0 ) )
& ( aDivisorOf0 @ W1 @ W0 )
& ( isPrime0 @ W1 ) ) ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
=> ( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( W0
= ( smndt0 @ sz10 ) )
| ( W0 = sz10 ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_10: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_10 @ W0 )
<=> ( ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_9: $i > $o ).
thf(zf_stmt_3,axiom,
! [W0: $i] :
( ( zip_tseitin_9 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_8: $i > $o ).
thf(zf_stmt_5,axiom,
! [W0: $i] :
( ( zip_tseitin_8 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] : ( zip_tseitin_7 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_7 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) ).
thf(zf_stmt_8,conjecture,
( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( isPrime0 @ W1 )
& ( aDivisorOf0 @ W1 @ W0 )
& ? [W2: $i] :
( ( ( sdtasdt0 @ W1 @ W2 )
= W0 )
& ( aInteger0 @ W2 ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) )
& ( ? [W1: $i] :
( ( isPrime0 @ W1 )
& ( ( aDivisorOf0 @ W1 @ W0 )
| ( ? [W2: $i] :
( ( ( sdtasdt0 @ W1 @ W2 )
= W0 )
& ( aInteger0 @ W2 ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) ) )
=> ( ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) )
& ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
=> ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ( ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_9 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_10 @ W0 ) )
| ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ) ) ) ) ) ).
thf(zf_stmt_9,negated_conjecture,
~ ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( isPrime0 @ W1 )
& ( aDivisorOf0 @ W1 @ W0 )
& ? [W2: $i] :
( ( ( sdtasdt0 @ W1 @ W2 )
= W0 )
& ( aInteger0 @ W2 ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) )
& ( ? [W1: $i] :
( ( isPrime0 @ W1 )
& ( ( aDivisorOf0 @ W1 @ W0 )
| ( ? [W2: $i] :
( ( ( sdtasdt0 @ W1 @ W2 )
= W0 )
& ( aInteger0 @ W2 ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) ) )
=> ( ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) )
& ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
=> ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ( ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_9 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_10 @ W0 ) )
| ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl169,plain,
( ( zip_tseitin_10 @ sk__18 )
| ( aElementOf0 @ sk__18 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ( X0
= ( smndt0 @ sz10 ) )
| ( X0 = sz10 )
| ~ ( zip_tseitin_10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1315,plain,
( ( aElementOf0 @ sk__18 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( sk__18 = sz10 )
| ( sk__18
= ( smndt0 @ sz10 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl169,zip_derived_cl144]) ).
thf(zip_derived_cl167,plain,
! [X5: $i] :
( ( zip_tseitin_9 @ X5 )
| ~ ( aElementOf0 @ X5 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl142,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1328,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl167,zip_derived_cl142]) ).
thf(zip_derived_cl1619,plain,
( ( sk__18
= ( smndt0 @ sz10 ) )
| ( sk__18 = sz10 )
| ~ ( aElementOf0 @ sk__18 @ ( sbsmnsldt0 @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl1328]) ).
thf(mPrimeDivisor,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ? [W1: $i] :
( ( isPrime0 @ W1 )
& ( aDivisorOf0 @ W1 @ W0 ) )
<=> ( ( W0 != sz10 )
& ( W0
!= ( smndt0 @ sz10 ) ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0
= ( smndt0 @ sz10 ) )
| ( aDivisorOf0 @ ( sk__1 @ X0 ) @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mPrimeDivisor]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X2: $i] :
( ~ ( isPrime0 @ X2 )
| ~ ( aDivisorOf0 @ X2 @ X0 )
| ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1982,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( X0
= ( smndt0 @ sz10 ) )
| ( X0 = sz10 )
| ~ ( aInteger0 @ X0 )
| ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( isPrime0 @ ( sk__1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl159]) ).
thf(zip_derived_cl1983,plain,
! [X0: $i] :
( ~ ( isPrime0 @ ( sk__1 @ X0 ) )
| ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ( X0 = sz10 )
| ( X0
= ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1982]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0
= ( smndt0 @ sz10 ) )
| ( isPrime0 @ ( sk__1 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mPrimeDivisor]) ).
thf(zip_derived_cl9363,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( X0
= ( smndt0 @ sz10 ) )
| ( X0 = sz10 )
| ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1983,zip_derived_cl37]) ).
thf(zip_derived_cl9438,plain,
( ( sk__18 = sz10 )
| ( sk__18
= ( smndt0 @ sz10 ) )
| ( sk__18 = sz10 )
| ( sk__18
= ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1619,zip_derived_cl9363]) ).
thf(zip_derived_cl9440,plain,
( ~ ( aInteger0 @ sk__18 )
| ( sk__18
= ( smndt0 @ sz10 ) )
| ( sk__18 = sz10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9438]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( isPrime0 @ X0 )
| ~ ( aDivisorOf0 @ X0 @ X1 )
| ( X1 != sz10 )
| ~ ( aInteger0 @ X1 ) ),
inference(cnf,[status(esa)],[mPrimeDivisor]) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ( X0 != sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl168,plain,
( ~ ( zip_tseitin_10 @ sk__18 )
| ~ ( aElementOf0 @ sk__18 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1316,plain,
( ( sk__18 != sz10 )
| ~ ( aElementOf0 @ sk__18 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl145,zip_derived_cl168]) ).
thf(zip_derived_cl1603,plain,
( ( sk__18 != sz10 )
| ~ ( aElementOf0 @ sz10 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1316]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ X0 )
| ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl166,plain,
! [X4: $i] :
( ( aElementOf0 @ X4 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( zip_tseitin_9 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1326,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl143,zip_derived_cl166]) ).
thf(zip_derived_cl1995,plain,
( ( sk__18 != sz10 )
| ( aElementOf0 @ sz10 @ ( sbsmnsldt0 @ xS ) )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1603,zip_derived_cl1326]) ).
thf(mIntOne,axiom,
aInteger0 @ sz10 ).
thf(zip_derived_cl2,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1998,plain,
( ( sk__18 != sz10 )
| ( aElementOf0 @ sz10 @ ( sbsmnsldt0 @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1995,zip_derived_cl2]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ( aDivisorOf0 @ ( sk__19 @ X0 ) @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl172,plain,
! [X7: $i] :
( ( zip_tseitin_8 @ X7 )
| ~ ( aElementOf0 @ X7 @ ( sbsmnsldt0 @ xS ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl138,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1336,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl172,zip_derived_cl138]) ).
thf(zip_derived_cl1916,plain,
! [X0: $i] :
( ( aDivisorOf0 @ ( sk__19 @ X0 ) @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) ) ),
inference(clc,[status(thm)],[zip_derived_cl155,zip_derived_cl1336]) ).
thf(zip_derived_cl2013,plain,
( ( sk__18 != sz10 )
| ( aDivisorOf0 @ ( sk__19 @ sz10 ) @ sz10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1998,zip_derived_cl1916]) ).
thf(zip_derived_cl2051,plain,
( ~ ( aInteger0 @ sz10 )
| ( sz10 != sz10 )
| ~ ( isPrime0 @ ( sk__19 @ sz10 ) )
| ( sk__18 != sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2013]) ).
thf(zip_derived_cl2_001,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl2055,plain,
( ( sz10 != sz10 )
| ~ ( isPrime0 @ ( sk__19 @ sz10 ) )
| ( sk__18 != sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2051,zip_derived_cl2]) ).
thf(zip_derived_cl2056,plain,
( ( sk__18 != sz10 )
| ~ ( isPrime0 @ ( sk__19 @ sz10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2055]) ).
thf(zip_derived_cl1998_002,plain,
( ( sk__18 != sz10 )
| ( aElementOf0 @ sz10 @ ( sbsmnsldt0 @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1995,zip_derived_cl2]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ( isPrime0 @ ( sk__19 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1336_003,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl172,zip_derived_cl138]) ).
thf(zip_derived_cl1764,plain,
! [X0: $i] :
( ( isPrime0 @ ( sk__19 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) ) ),
inference(clc,[status(thm)],[zip_derived_cl157,zip_derived_cl1336]) ).
thf(zip_derived_cl2012,plain,
( ( sk__18 != sz10 )
| ( isPrime0 @ ( sk__19 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1998,zip_derived_cl1764]) ).
thf(zip_derived_cl2066,plain,
sk__18 != sz10,
inference(clc,[status(thm)],[zip_derived_cl2056,zip_derived_cl2012]) ).
thf(zip_derived_cl9441,plain,
( ~ ( aInteger0 @ sk__18 )
| ( sk__18
= ( smndt0 @ sz10 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9440,zip_derived_cl2066]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ~ ( isPrime0 @ X0 )
| ~ ( aDivisorOf0 @ X0 @ X1 )
| ( X1
!= ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ X1 ) ),
inference(cnf,[status(esa)],[mPrimeDivisor]) ).
thf(zip_derived_cl1326_004,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl143,zip_derived_cl166]) ).
thf(zip_derived_cl146,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ( X0
!= ( smndt0 @ sz10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl168_005,plain,
( ~ ( zip_tseitin_10 @ sk__18 )
| ~ ( aElementOf0 @ sk__18 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1317,plain,
( ( sk__18
!= ( smndt0 @ sz10 ) )
| ~ ( aElementOf0 @ sk__18 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl146,zip_derived_cl168]) ).
thf(zip_derived_cl1992,plain,
( ( aElementOf0 @ sk__18 @ ( sbsmnsldt0 @ xS ) )
| ~ ( aInteger0 @ sk__18 )
| ( sk__18
!= ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1326,zip_derived_cl1317]) ).
thf(zip_derived_cl1916_006,plain,
! [X0: $i] :
( ( aDivisorOf0 @ ( sk__19 @ X0 ) @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) ) ),
inference(clc,[status(thm)],[zip_derived_cl155,zip_derived_cl1336]) ).
thf(zip_derived_cl2091,plain,
( ( sk__18
!= ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ sk__18 )
| ( aDivisorOf0 @ ( sk__19 @ sk__18 ) @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1992,zip_derived_cl1916]) ).
thf(zip_derived_cl2655,plain,
( ~ ( aInteger0 @ sk__18 )
| ( sk__18
!= ( smndt0 @ sz10 ) )
| ~ ( isPrime0 @ ( sk__19 @ sk__18 ) )
| ~ ( aInteger0 @ sk__18 )
| ( sk__18
!= ( smndt0 @ sz10 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2091]) ).
thf(zip_derived_cl2659,plain,
( ~ ( isPrime0 @ ( sk__19 @ sk__18 ) )
| ( sk__18
!= ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2655]) ).
thf(zip_derived_cl1992_007,plain,
( ( aElementOf0 @ sk__18 @ ( sbsmnsldt0 @ xS ) )
| ~ ( aInteger0 @ sk__18 )
| ( sk__18
!= ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1326,zip_derived_cl1317]) ).
thf(zip_derived_cl1764_008,plain,
! [X0: $i] :
( ( isPrime0 @ ( sk__19 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) ) ),
inference(clc,[status(thm)],[zip_derived_cl157,zip_derived_cl1336]) ).
thf(zip_derived_cl2090,plain,
( ( sk__18
!= ( smndt0 @ sz10 ) )
| ~ ( aInteger0 @ sk__18 )
| ( isPrime0 @ ( sk__19 @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1992,zip_derived_cl1764]) ).
thf(zip_derived_cl2696,plain,
( ~ ( aInteger0 @ sk__18 )
| ( sk__18
!= ( smndt0 @ sz10 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2659,zip_derived_cl2090]) ).
thf(zip_derived_cl9458,plain,
~ ( aInteger0 @ sk__18 ),
inference(clc,[status(thm)],[zip_derived_cl9441,zip_derived_cl2696]) ).
thf(zip_derived_cl1315_009,plain,
( ( aElementOf0 @ sk__18 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( sk__18 = sz10 )
| ( sk__18
= ( smndt0 @ sz10 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl169,zip_derived_cl144]) ).
thf(zip_derived_cl167_010,plain,
! [X5: $i] :
( ( zip_tseitin_9 @ X5 )
| ~ ( aElementOf0 @ X5 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl141,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1327,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl167,zip_derived_cl141]) ).
thf(zip_derived_cl1618,plain,
( ( sk__18
= ( smndt0 @ sz10 ) )
| ( sk__18 = sz10 )
| ( aInteger0 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl1327]) ).
thf(mIntNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl1642,plain,
( ( aInteger0 @ sk__18 )
| ( aInteger0 @ sk__18 )
| ( sk__18 = sz10 )
| ~ ( aInteger0 @ sz10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1618,zip_derived_cl3]) ).
thf(zip_derived_cl2_011,plain,
aInteger0 @ sz10,
inference(cnf,[status(esa)],[mIntOne]) ).
thf(zip_derived_cl1645,plain,
( ( aInteger0 @ sk__18 )
| ( aInteger0 @ sk__18 )
| ( sk__18 = sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1642,zip_derived_cl2]) ).
thf(zip_derived_cl1646,plain,
( ( sk__18 = sz10 )
| ( aInteger0 @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1645]) ).
thf(zip_derived_cl2066_012,plain,
sk__18 != sz10,
inference(clc,[status(thm)],[zip_derived_cl2056,zip_derived_cl2012]) ).
thf(zip_derived_cl9459,plain,
aInteger0 @ sk__18,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1646,zip_derived_cl2066]) ).
thf(zip_derived_cl9461,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9458,zip_derived_cl9459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM448+5 : 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.uXST0tYKaD true
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 09:57:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.18/0.62 % Total configuration time : 435
% 0.18/0.62 % Estimated wc time : 1092
% 0.18/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 18.20/3.28 % Solved by fo/fo3_bce.sh.
% 18.20/3.28 % BCE start: 174
% 18.20/3.28 % BCE eliminated: 3
% 18.20/3.28 % PE start: 171
% 18.20/3.28 logic: eq
% 18.20/3.28 % PE eliminated: -14
% 18.20/3.28 % done 1136 iterations in 2.473s
% 18.20/3.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 18.20/3.28 % SZS output start Refutation
% See solution above
% 18.20/3.28
% 18.20/3.28
% 18.20/3.28 % Terminating...
% 19.24/3.40 % Runner terminated.
% 19.24/3.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------