TSTP Solution File: NUM512+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM512+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.yCz1PUaUDC true
% Computer : n025.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 12:42:00 EDT 2023
% Result : Theorem 1.27s 1.03s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 27
% Syntax : Number of formulae : 120 ( 38 unt; 13 typ; 0 def)
% Number of atoms : 299 ( 147 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 923 ( 122 ~; 157 |; 21 &; 609 @)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 0 ^; 61 !; 1 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sz10_type,type,
sz10: $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(xn_type,type,
xn: $i ).
thf(xr_type,type,
xr: $i ).
thf(xm_type,type,
xm: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
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(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 ).
thf(zip_derived_cl95,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
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_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_cl781,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl49]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl89,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl786,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl781,zip_derived_cl89,zip_derived_cl72]) ).
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_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) )
| ( X2
= ( sdtsldt0 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl906,plain,
! [X0: $i] :
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl786,zip_derived_cl105]) ).
thf(zip_derived_cl95_001,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
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_cl237,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl50]) ).
thf(zip_derived_cl89_002,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl72_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl241,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl89_004,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl920,plain,
! [X0: $i] :
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl906,zip_derived_cl241,zip_derived_cl89]) ).
thf(zip_derived_cl2006,plain,
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xn )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl920]) ).
thf(zip_derived_cl72_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2007,plain,
( ( xr = sz00 )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2006,zip_derived_cl72]) ).
thf(zip_derived_cl786_006,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl781,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl2013,plain,
( ( xr = sz00 )
| ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2007,zip_derived_cl786]) ).
thf(zip_derived_cl10_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl2007_008,plain,
( ( xr = sz00 )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2006,zip_derived_cl72]) ).
thf(zip_derived_cl241_009,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl2012,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2007,zip_derived_cl241]) ).
thf(zip_derived_cl10_010,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl10_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl95_012,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
thf(mDivAsso,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X2 @ ( sdtsldt0 @ X1 @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X2 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivAsso]) ).
thf(zip_derived_cl1098,plain,
! [X0: $i] :
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X0 @ xn ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl59]) ).
thf(zip_derived_cl89_013,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl72_014,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1117,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X0 @ xn ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1098,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl1709,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 )
| ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl1117]) ).
thf(zip_derived_cl72_015,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1714,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 )
| ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1709,zip_derived_cl72]) ).
thf(zip_derived_cl1715,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ X0 ) @ xr ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1714]) ).
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(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_cl921,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(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl924,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl921,zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl1558,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xp = sz00 )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl924]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_016,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1559,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl1560,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( xp = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1559]) ).
thf(m__,conjecture,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl98,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1606,plain,
( ( xp = sz00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1560,zip_derived_cl98]) ).
thf(zip_derived_cl1947,plain,
( ~ ( aNaturalNumber0 @ xm )
| ( xr = sz00 )
| ( xp = sz00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1715,zip_derived_cl1606]) ).
thf(zip_derived_cl71_017,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1969,plain,
( ( xr = sz00 )
| ( xp = sz00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1947,zip_derived_cl71]) ).
thf(zip_derived_cl1976,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( xr = sz00 )
| ( xp = sz00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1969]) ).
thf(zip_derived_cl71_018,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1981,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( xr = sz00 )
| ( xp = sz00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1976,zip_derived_cl71]) ).
thf(zip_derived_cl1982,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1981]) ).
thf(zip_derived_cl2082,plain,
( ( xr = sz00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2012,zip_derived_cl1982]) ).
thf(zip_derived_cl2085,plain,
( ( xp = sz00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xr = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2082]) ).
thf(zip_derived_cl2113,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( xp = sz00 )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xr ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl2085]) ).
thf(zip_derived_cl89_019,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl71_020,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2116,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( xp = sz00 )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xr ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2113,zip_derived_cl89,zip_derived_cl71]) ).
thf(zip_derived_cl2012_021,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2007,zip_derived_cl241]) ).
thf(zip_derived_cl2117,plain,
( ( xr = sz00 )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xr ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl2116,zip_derived_cl2012]) ).
thf(zip_derived_cl2118,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( xr = sz00 )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2117]) ).
thf(zip_derived_cl89_022,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl2120,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( xr = sz00 )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2118,zip_derived_cl89]) ).
thf(zip_derived_cl2012_023,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2007,zip_derived_cl241]) ).
thf(zip_derived_cl2122,plain,
( ( xp = sz00 )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xr = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl2120,zip_derived_cl2012]) ).
thf(zip_derived_cl2123,plain,
( ( xr = sz00 )
| ( xp = sz00 )
| ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2013,zip_derived_cl2122]) ).
thf(zip_derived_cl2124,plain,
( ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 )
| ( xr = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2123]) ).
thf(zip_derived_cl2125,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2124]) ).
thf(zip_derived_cl72_024,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_025,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2127,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2125,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl2128,plain,
( ( xr = sz00 )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2127]) ).
thf(zip_derived_cl87,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl2131,plain,
( ( xp = sz00 )
| ( isPrime0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2128,zip_derived_cl87]) ).
thf(mDefPrime,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( isPrime0 @ W0 )
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl108,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( isPrime0 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl109,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl1]) ).
thf(zip_derived_cl2238,plain,
xp = sz00,
inference(clc,[status(thm)],[zip_derived_cl2131,zip_derived_cl109]) ).
thf(zip_derived_cl109_026,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl1]) ).
thf(zip_derived_cl2242,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl2238,zip_derived_cl109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM512+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yCz1PUaUDC true
% 0.14/0.34 % Computer : n025.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 15:09:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.03 % Solved by fo/fo13.sh.
% 1.27/1.03 % done 303 iterations in 0.261s
% 1.27/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/1.03 % SZS output start Refutation
% See solution above
% 1.27/1.03
% 1.27/1.03
% 1.27/1.03 % Terminating...
% 1.56/1.14 % Runner terminated.
% 1.56/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------