TSTP Solution File: NUM529+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM529+1 : 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.ccfKu8gR63 true
% Computer : n005.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 12:42:08 EDT 2023
% Result : Theorem 58.25s 8.99s
% Output : Refutation 58.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 29
% Syntax : Number of formulae : 113 ( 49 unt; 14 typ; 0 def)
% Number of atoms : 272 ( 102 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 643 ( 127 ~; 128 |; 27 &; 343 @)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 68 ( 0 ^; 67 !; 1 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
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(xn_type,type,
xn: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xq_type,type,
xq: $i ).
thf(xm_type,type,
xm: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(m__3082,axiom,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ).
thf(zip_derived_cl83,plain,
( ( sdtasdt0 @ xm @ xm )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ),
inference(cnf,[status(esa)],[m__3082]) ).
thf(m__3124,axiom,
( ( sdtlseqdt0 @ xm @ xn )
& ( xm != xn ) ) ).
thf(zip_derived_cl84,plain,
sdtlseqdt0 @ xm @ xn,
inference(cnf,[status(esa)],[m__3124]) ).
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_cl396,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( iLess0 @ xm @ xn )
| ( xm = xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl48]) ).
thf(m__2987,axiom,
( ( xp != sz00 )
& ( xm != sz00 )
& ( xn != sz00 )
& ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl75,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl402,plain,
( ( iLess0 @ xm @ xn )
| ( xm = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl85,plain,
xm != xn,
inference(cnf,[status(esa)],[m__3124]) ).
thf(zip_derived_cl403,plain,
iLess0 @ xm @ xn,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl402,zip_derived_cl85]) ).
thf(m__2963,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 )
& ( W0 != sz00 )
& ( W1 != sz00 )
& ( W2 != sz00 ) )
=> ( ( ( sdtasdt0 @ W2 @ ( sdtasdt0 @ W1 @ W1 ) )
= ( sdtasdt0 @ W0 @ W0 ) )
=> ( ( iLess0 @ W0 @ xn )
=> ~ ( isPrime0 @ W2 ) ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( iLess0 @ X0 @ xn )
| ( X1 = sz00 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X2 = sz00 )
| ~ ( isPrime0 @ X2 )
| ( ( sdtasdt0 @ X2 @ ( sdtasdt0 @ X1 @ X1 ) )
!= ( sdtasdt0 @ X0 @ X0 ) ) ),
inference(cnf,[status(esa)],[m__2963]) ).
thf(zip_derived_cl963,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ~ ( isPrime0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl77]) ).
thf(zip_derived_cl75_001,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl965,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ~ ( isPrime0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl75]) ).
thf(zip_derived_cl72,plain,
xm != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl966,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ~ ( isPrime0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= ( sdtasdt0 @ xm @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl965,zip_derived_cl72]) ).
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_cl46482,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X0 ) )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( isPrime0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl966,zip_derived_cl66]) ).
thf(zip_derived_cl46501,plain,
( ( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xm @ xm ) )
| ~ ( isPrime0 @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xq )
| ( xq = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl46482]) ).
thf(m__3025,axiom,
isPrime0 @ xp ).
thf(zip_derived_cl79,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__3025]) ).
thf(zip_derived_cl74,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(m__3059,axiom,
( xq
= ( sdtsldt0 @ xn @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xq
= ( sdtsldt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__3059]) ).
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_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_cl722,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xq )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
thf(zip_derived_cl74_002,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(m__3046,axiom,
( ( doDivides0 @ xp @ xn )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) ) ).
thf(zip_derived_cl80,plain,
doDivides0 @ xp @ xn,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl724,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xq )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl74,zip_derived_cl76,zip_derived_cl80]) ).
thf(zip_derived_cl71,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl725,plain,
! [X0: $i] :
( ( X0 != xq )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl724,zip_derived_cl71]) ).
thf(zip_derived_cl811,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl725]) ).
thf(zip_derived_cl46542,plain,
( ( ( sdtasdt0 @ xm @ xm )
!= ( sdtasdt0 @ xm @ xm ) )
| ( xq = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl46501,zip_derived_cl79,zip_derived_cl74,zip_derived_cl811]) ).
thf(zip_derived_cl46543,plain,
xq = sz00,
inference(simplify,[status(thm)],[zip_derived_cl46542]) ).
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(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
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_cl210,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( X1 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl51]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ( X1 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl1]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i] :
( ( X1 != sz00 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl1456,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( doDivides0 @ X0 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl1_004,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1457,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X0 @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1456,zip_derived_cl1]) ).
thf(zip_derived_cl80_005,plain,
doDivides0 @ xp @ xn,
inference(cnf,[status(esa)],[m__3046]) ).
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_cl389,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ xp @ X0 )
| ~ ( doDivides0 @ xn @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl55]) ).
thf(zip_derived_cl76_006,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl74_007,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl391,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ xp @ X0 )
| ~ ( doDivides0 @ xn @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl76,zip_derived_cl74]) ).
thf(zip_derived_cl1503,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ sz00 )
| ( doDivides0 @ xp @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1457,zip_derived_cl391]) ).
thf(zip_derived_cl76_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1_009,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1505,plain,
doDivides0 @ xp @ sz00,
inference(demod,[status(thm)],[zip_derived_cl1503,zip_derived_cl76,zip_derived_cl1]) ).
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_cl1506,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ sz00 )
| ( sz00
= ( sdtasdt0 @ xp @ ( sk__1 @ sz00 @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl49]) ).
thf(zip_derived_cl74_010,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1_011,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1513,plain,
( sz00
= ( sdtasdt0 @ xp @ ( sk__1 @ sz00 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1506,zip_derived_cl74,zip_derived_cl1]) ).
thf(zip_derived_cl82_012,plain,
( xq
= ( sdtsldt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__3059]) ).
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_cl882,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
thf(zip_derived_cl74_013,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_014,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl80_015,plain,
doDivides0 @ xp @ xn,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl886,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl74,zip_derived_cl76,zip_derived_cl80]) ).
thf(zip_derived_cl71_016,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl887,plain,
! [X0: $i] :
( ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl886,zip_derived_cl71]) ).
thf(zip_derived_cl1544,plain,
( ( ( sk__1 @ sz00 @ xp )
!= xq )
| ( xn = sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1513,zip_derived_cl887]) ).
thf(zip_derived_cl73,plain,
xn != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1575,plain,
( ( sk__1 @ sz00 @ xp )
!= xq ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1544,zip_derived_cl73]) ).
thf(zip_derived_cl1513_017,plain,
( sz00
= ( sdtasdt0 @ xp @ ( sk__1 @ sz00 @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1506,zip_derived_cl74,zip_derived_cl1]) ).
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_cl1526,plain,
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sk__1 @ sz00 @ xp ) )
| ( ( sk__1 @ sz00 @ xp )
= sz00 )
| ( sz00 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl24]) ).
thf(zip_derived_cl74_018,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1505_019,plain,
doDivides0 @ xp @ sz00,
inference(demod,[status(thm)],[zip_derived_cl1503,zip_derived_cl76,zip_derived_cl1]) ).
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_cl1507,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ sz00 )
| ( aNaturalNumber0 @ ( sk__1 @ sz00 @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl50]) ).
thf(zip_derived_cl74_020,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1_021,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1514,plain,
aNaturalNumber0 @ ( sk__1 @ sz00 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl1507,zip_derived_cl74,zip_derived_cl1]) ).
thf(zip_derived_cl1550,plain,
( ( xp = sz00 )
| ( ( sk__1 @ sz00 @ xp )
= sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1526,zip_derived_cl74,zip_derived_cl1514]) ).
thf(zip_derived_cl1551,plain,
( ( ( sk__1 @ sz00 @ xp )
= sz00 )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1550]) ).
thf(zip_derived_cl71_022,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1552,plain,
( ( sk__1 @ sz00 @ xp )
= sz00 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1551,zip_derived_cl71]) ).
thf(zip_derived_cl1579,plain,
sz00 != xq,
inference(demod,[status(thm)],[zip_derived_cl1575,zip_derived_cl1552]) ).
thf(zip_derived_cl46544,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl46543,zip_derived_cl1579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM529+1 : 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.ccfKu8gR63 true
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 14:53:23 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.19/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 58.25/8.98 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 58.25/8.99 % Solved by fo/fo13.sh.
% 58.25/8.99 % done 3240 iterations in 8.217s
% 58.25/8.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 58.25/8.99 % SZS output start Refutation
% See solution above
% 58.25/8.99
% 58.25/8.99
% 58.25/8.99 % Terminating...
% 58.25/9.05 % Runner terminated.
% 58.25/9.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------