TSTP Solution File: NUM510+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM510+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.X4lhWguARq true
% Computer : n032.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 13.31s 2.45s
% Output : Refutation 13.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 34
% Syntax : Number of formulae : 149 ( 57 unt; 14 typ; 0 def)
% Number of atoms : 337 ( 153 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 782 ( 131 ~; 155 |; 27 &; 449 @)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 78 ( 0 ^; 77 !; 1 ?; 78 :)
% 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(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
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(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(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_cl758,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_cl763,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl758,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_cl103,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_cl900,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_cl763,zip_derived_cl103]) ).
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_cl222,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_cl226,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl89_004,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl914,plain,
! [X0: $i] :
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl900,zip_derived_cl226,zip_derived_cl89]) ).
thf(zip_derived_cl1276,plain,
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xn )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl914]) ).
thf(zip_derived_cl72_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1277,plain,
( ( xr = sz00 )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1276,zip_derived_cl72]) ).
thf(zip_derived_cl763_006,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl758,zip_derived_cl89,zip_derived_cl72]) ).
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(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_cl443,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl46]) ).
thf(zip_derived_cl450,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ( X1 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl443]) ).
thf(zip_derived_cl10347,plain,
( ( sdtlseqdt0 @ ( sk__1 @ xn @ xr ) @ xn )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl450]) ).
thf(zip_derived_cl226_007,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl89_008,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl10386,plain,
( ( sdtlseqdt0 @ ( sk__1 @ xn @ xr ) @ xn )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl10347,zip_derived_cl226,zip_derived_cl89]) ).
thf(zip_derived_cl10607,plain,
( ( xr = sz00 )
| ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
| ( xr = sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1277,zip_derived_cl10386]) ).
thf(zip_derived_cl10608,plain,
( ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
| ( xr = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10607]) ).
thf(m__,conjecture,
( ( ( sdtsldt0 @ xn @ xr )
!= xn )
& ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtsldt0 @ xn @ xr )
!= xn )
& ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl96,plain,
( ( ( sdtsldt0 @ xn @ xr )
= xn )
| ~ ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10635,plain,
( ( xr = sz00 )
| ( ( sdtsldt0 @ xn @ xr )
= xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10608,zip_derived_cl96]) ).
thf(zip_derived_cl1277_009,plain,
( ( xr = sz00 )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1276,zip_derived_cl72]) ).
thf(zip_derived_cl763_010,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl758,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl1281,plain,
( ( xr = sz00 )
| ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1277,zip_derived_cl763]) ).
thf(zip_derived_cl10661,plain,
( ( xr = sz00 )
| ( xr = sz00 )
| ( xn
= ( sdtasdt0 @ xr @ xn ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10635,zip_derived_cl1281]) ).
thf(zip_derived_cl10705,plain,
( ( xn
= ( sdtasdt0 @ xr @ xn ) )
| ( xr = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10661]) ).
thf(zip_derived_cl763_011,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl758,zip_derived_cl89,zip_derived_cl72]) ).
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(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_cl374,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl3,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl386,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl374,zip_derived_cl3]) ).
thf(zip_derived_cl387,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ sz10 @ ( sdtasdt0 @ X0 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl7958,plain,
( ( xn
= ( sdtasdt0 @ sz10 @ xn ) )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl387]) ).
thf(zip_derived_cl226_012,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl89_013,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl7981,plain,
( xn
= ( sdtasdt0 @ sz10 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl7958,zip_derived_cl226,zip_derived_cl89]) ).
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_cl8023,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( ( sdtasdt0 @ X0 @ xn )
!= xn )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ sz10 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7981,zip_derived_cl20]) ).
thf(zip_derived_cl3_014,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl72_015,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl8052,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( ( sdtasdt0 @ X0 @ xn )
!= xn )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl8023,zip_derived_cl3,zip_derived_cl72]) ).
thf(zip_derived_cl10807,plain,
( ( xr = sz00 )
| ( xn = sz00 )
| ( xn != xn )
| ( xr = sz10 )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10705,zip_derived_cl8052]) ).
thf(zip_derived_cl89_016,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl10853,plain,
( ( xr = sz00 )
| ( xn = sz00 )
| ( xn != xn )
| ( xr = sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl10807,zip_derived_cl89]) ).
thf(zip_derived_cl10854,plain,
( ( xr = sz10 )
| ( xn = sz00 )
| ( xr = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10853]) ).
thf(zip_derived_cl87,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl11114,plain,
( ( xr = sz00 )
| ( xn = sz00 )
| ( isPrime0 @ sz10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10854,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_cl65,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz10 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl104,plain,
( ~ ( aNaturalNumber0 @ sz10 )
| ~ ( isPrime0 @ sz10 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl3_017,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl105,plain,
~ ( isPrime0 @ sz10 ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl3]) ).
thf(zip_derived_cl11474,plain,
( ( xn = sz00 )
| ( xr = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl11114,zip_derived_cl105]) ).
thf(zip_derived_cl87_018,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl11475,plain,
( ( xn = sz00 )
| ( isPrime0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11474,zip_derived_cl87]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl106,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_cl107,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl1]) ).
thf(zip_derived_cl11769,plain,
xn = sz00,
inference(clc,[status(thm)],[zip_derived_cl11475,zip_derived_cl107]) ).
thf(zip_derived_cl11776,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ sz00 @ xm ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl11769]) ).
thf(zip_derived_cl16694,plain,
( ~ ( aNaturalNumber0 @ xm )
| ( xk
= ( sdtsldt0 @ sz00 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl11776]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl16695,plain,
( xk
= ( sdtsldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl16694,zip_derived_cl71]) ).
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_cl16705,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ sz00 )
| ( X0 != xk )
| ( sz00
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16695,zip_derived_cl53]) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1_019,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl15_020,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl11769_021,plain,
xn = sz00,
inference(clc,[status(thm)],[zip_derived_cl11475,zip_derived_cl107]) ).
thf(zip_derived_cl11772,plain,
doDivides0 @ xp @ ( sdtasdt0 @ sz00 @ xm ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl11769]) ).
thf(zip_derived_cl13392,plain,
( ~ ( aNaturalNumber0 @ xm )
| ( doDivides0 @ xp @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl11772]) ).
thf(zip_derived_cl71_022,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl13393,plain,
doDivides0 @ xp @ sz00,
inference(demod,[status(thm)],[zip_derived_cl13392,zip_derived_cl71]) ).
thf(zip_derived_cl16709,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( sz00
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16705,zip_derived_cl70,zip_derived_cl1,zip_derived_cl13393]) ).
thf(m__2287,axiom,
( ( sdtlseqdt0 @ xm @ xp )
& ( xm != xp )
& ( sdtlseqdt0 @ xn @ xp )
& ( xn != xp ) ) ).
thf(zip_derived_cl81,plain,
xn != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl11769_023,plain,
xn = sz00,
inference(clc,[status(thm)],[zip_derived_cl11475,zip_derived_cl107]) ).
thf(zip_derived_cl11775,plain,
sz00 != xp,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl11769]) ).
thf(zip_derived_cl16710,plain,
! [X0: $i] :
( ( X0 != xk )
| ( sz00
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16709,zip_derived_cl11775]) ).
thf(zip_derived_cl16950,plain,
( sz00
= ( sdtasdt0 @ xp @ xk ) ),
inference(eq_res,[status(thm)],[zip_derived_cl16710]) ).
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_cl17016,plain,
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xk )
| ( xk = sz00 )
| ( sz00 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16950,zip_derived_cl24]) ).
thf(zip_derived_cl70_024,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl16695_025,plain,
( xk
= ( sdtsldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl16694,zip_derived_cl71]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl16704,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ xp @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16695,zip_derived_cl52]) ).
thf(zip_derived_cl70_026,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1_027,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl13393_028,plain,
doDivides0 @ xp @ sz00,
inference(demod,[status(thm)],[zip_derived_cl13392,zip_derived_cl71]) ).
thf(zip_derived_cl16707,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl16704,zip_derived_cl70,zip_derived_cl1,zip_derived_cl13393]) ).
thf(zip_derived_cl11775_029,plain,
sz00 != xp,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl11769]) ).
thf(zip_derived_cl16708,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16707,zip_derived_cl11775]) ).
thf(zip_derived_cl16713,plain,
aNaturalNumber0 @ xk,
inference(eq_res,[status(thm)],[zip_derived_cl16708]) ).
thf(zip_derived_cl17074,plain,
( ( xp = sz00 )
| ( xk = sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl17016,zip_derived_cl70,zip_derived_cl16713]) ).
thf(zip_derived_cl17075,plain,
( ( xk = sz00 )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17074]) ).
thf(zip_derived_cl11775_030,plain,
sz00 != xp,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl11769]) ).
thf(m__2315,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ) ).
thf(zip_derived_cl84,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2315]) ).
thf(zip_derived_cl17076,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17075,zip_derived_cl11775,zip_derived_cl84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM510+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X4lhWguARq true
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Aug 25 10:31:43 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.30 % Running in FO mode
% 0.15/0.52 % Total configuration time : 435
% 0.15/0.52 % Estimated wc time : 1092
% 0.15/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 13.31/2.45 % Solved by fo/fo13.sh.
% 13.31/2.45 % done 1581 iterations in 1.814s
% 13.31/2.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.31/2.45 % SZS output start Refutation
% See solution above
% 13.31/2.45
% 13.31/2.45
% 13.31/2.45 % Terminating...
% 14.19/2.54 % Runner terminated.
% 14.19/2.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------