TSTP Solution File: NUM498+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM498+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.pljpvRqmUY true
% Computer : n016.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 12:41:53 EDT 2023
% Result : Theorem 1.29s 1.21s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 28
% Syntax : Number of formulae : 160 ( 49 unt; 12 typ; 0 def)
% Number of atoms : 412 ( 227 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 869 ( 213 ~; 223 |; 21 &; 392 @)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 77 ( 0 ^; 76 !; 1 ?; 77 :)
% 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(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
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(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_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_cl1150,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
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(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1152,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1150,zip_derived_cl74,zip_derived_cl70]) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
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_cl665,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl66]) ).
thf(zip_derived_cl670,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( xp != sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl665]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl671,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl1]) ).
thf(zip_derived_cl1153,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1152,zip_derived_cl671]) ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl1706,plain,
( ( ( sdtasdt0 @ xn @ xm )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( sz00 != xk )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl1153,zip_derived_cl14]) ).
thf(zip_derived_cl70_001,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1734,plain,
( ( ( sdtasdt0 @ xn @ xm )
= sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( sz00 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1706,zip_derived_cl70]) ).
thf(zip_derived_cl1741,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( sz00 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1734]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1743,plain,
( ( sz00 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1741,zip_derived_cl71,zip_derived_cl72]) ).
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_cl1748,plain,
( ( sz00 != sz00 )
| ( sz00 != xk )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xn = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1743,zip_derived_cl24]) ).
thf(zip_derived_cl71_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1765,plain,
( ( sz00 != sz00 )
| ( sz00 != xk )
| ( xm = sz00 )
| ( xn = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1748,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl1766,plain,
( ( xn = sz00 )
| ( xm = sz00 )
| ( sz00 != xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl1765]) ).
thf(m__,conjecture,
( ( ( xk = sz00 )
| ( xk = sz10 ) )
=> ( ( doDivides0 @ xp @ xn )
| ( doDivides0 @ xp @ xm ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( xk = sz00 )
| ( xk = sz10 ) )
=> ( ( doDivides0 @ xp @ xn )
| ( doDivides0 @ xp @ xm ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl83,plain,
( ( xk = sz00 )
| ( xk = sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_004,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i] :
( ~ ( isPrime0 @ X0 )
| ( X1 = X0 )
| ( X1 = sz10 )
| ~ ( doDivides0 @ X1 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl663,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ X0 @ xp )
| ( X0 = sz10 )
| ( X0 = xp ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl64]) ).
thf(zip_derived_cl70_005,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl697,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ X0 @ xp )
| ( X0 = sz10 )
| ( X0 = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl663,zip_derived_cl70]) ).
thf(zip_derived_cl5_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl1153_007,plain,
! [X0: $i] :
( ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1152,zip_derived_cl671]) ).
thf(m_MulUnit,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
thf(zip_derived_cl1707,plain,
( ( ( sdtasdt0 @ xn @ xm )
= xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( sz10 != xk )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl1153,zip_derived_cl12]) ).
thf(zip_derived_cl70_008,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1735,plain,
( ( ( sdtasdt0 @ xn @ xm )
= xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( sz10 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1707,zip_derived_cl70]) ).
thf(zip_derived_cl2188,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( sz10 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1735]) ).
thf(zip_derived_cl71_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_010,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2192,plain,
( ( sz10 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= xp ) ),
inference(demod,[status(thm)],[zip_derived_cl2188,zip_derived_cl71,zip_derived_cl72]) ).
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_cl819,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl5_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl4973,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl819,zip_derived_cl5]) ).
thf(zip_derived_cl5007,plain,
( ( doDivides0 @ xn @ xp )
| ( sz10 != xk )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl2192,zip_derived_cl4973]) ).
thf(zip_derived_cl71_012,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_013,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5036,plain,
( ( doDivides0 @ xn @ xp )
| ( sz10 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl5007,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl5116,plain,
( ( xn = xp )
| ( xn = sz10 )
| ~ ( aNaturalNumber0 @ xn )
| ( sz10 != xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl697,zip_derived_cl5036]) ).
thf(zip_derived_cl72_014,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5125,plain,
( ( xn = xp )
| ( xn = sz10 )
| ( sz10 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl5116,zip_derived_cl72]) ).
thf(zip_derived_cl83_015,plain,
( ( xk = sz00 )
| ( xk = sz10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2192_016,plain,
( ( sz10 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= xp ) ),
inference(demod,[status(thm)],[zip_derived_cl2188,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl82_017,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl2219,plain,
( ( xk
= ( sdtsldt0 @ xp @ xp ) )
| ( sz10 != xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl2192,zip_derived_cl82]) ).
thf(zip_derived_cl2243,plain,
( ( sz10
= ( sdtsldt0 @ xp @ xp ) )
| ( sz10 != xk ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl2219]) ).
thf(zip_derived_cl53_018,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_cl2309,plain,
! [X0: $i] :
( ( X0 != sz10 )
| ( sz10 != xk )
| ~ ( doDivides0 @ xp @ xp )
| ( xp
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2243,zip_derived_cl53]) ).
thf(zip_derived_cl70_019,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_020,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2312,plain,
! [X0: $i] :
( ( X0 != sz10 )
| ( sz10 != xk )
| ~ ( doDivides0 @ xp @ xp )
| ( xp
= ( sdtasdt0 @ xp @ X0 ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2309,zip_derived_cl70,zip_derived_cl70]) ).
thf(zip_derived_cl671_021,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl1]) ).
thf(zip_derived_cl2313,plain,
! [X0: $i] :
( ( X0 != sz10 )
| ( sz10 != xk )
| ~ ( doDivides0 @ xp @ xp )
| ( xp
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2312,zip_derived_cl671]) ).
thf(zip_derived_cl2192_022,plain,
( ( sz10 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= xp ) ),
inference(demod,[status(thm)],[zip_derived_cl2188,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl74_023,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl2218,plain,
( ( doDivides0 @ xp @ xp )
| ( sz10 != xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl2192,zip_derived_cl74]) ).
thf(zip_derived_cl2479,plain,
! [X0: $i] :
( ( xp
= ( sdtasdt0 @ xp @ X0 ) )
| ( sz10 != xk )
| ( X0 != sz10 ) ),
inference(clc,[status(thm)],[zip_derived_cl2313,zip_derived_cl2218]) ).
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(zip_derived_cl2192_024,plain,
( ( sz10 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= xp ) ),
inference(demod,[status(thm)],[zip_derived_cl2188,zip_derived_cl71,zip_derived_cl72]) ).
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_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= ( sdtasdt0 @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl2198,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ X0 )
!= xp )
| ( sz10 != xk )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ( X0 = xm )
| ( xn = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2192,zip_derived_cl21]) ).
thf(zip_derived_cl72_025,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_026,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2222,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ X0 )
!= xp )
| ( sz10 != xk )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = xm )
| ( xn = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2198,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl2682,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ xn )
!= xp )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn )
| ( xn = sz00 )
| ( X0 = xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz10 != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2222]) ).
thf(zip_derived_cl72_027,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2690,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ xn )
!= xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn = sz00 )
| ( X0 = xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( sz10 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl2682,zip_derived_cl72]) ).
thf(zip_derived_cl2691,plain,
! [X0: $i] :
( ( sz10 != xk )
| ( X0 = xm )
| ( xn = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ X0 @ xn )
!= xp ) ),
inference(simplify,[status(thm)],[zip_derived_cl2690]) ).
thf(zip_derived_cl4817,plain,
( ( xp != xp )
| ( xn != sz10 )
| ( sz10 != xk )
| ~ ( aNaturalNumber0 @ xp )
| ( xn = sz00 )
| ( xp = xm )
| ( sz10 != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl2479,zip_derived_cl2691]) ).
thf(zip_derived_cl70_028,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl4832,plain,
( ( xp != xp )
| ( xn != sz10 )
| ( sz10 != xk )
| ( xn = sz00 )
| ( xp = xm )
| ( sz10 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl4817,zip_derived_cl70]) ).
thf(zip_derived_cl4833,plain,
( ( xp = xm )
| ( xn = sz00 )
| ( sz10 != xk )
| ( xn != sz10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4832]) ).
thf(m__2287,axiom,
( ( sdtlseqdt0 @ xm @ xp )
& ( xm != xp )
& ( sdtlseqdt0 @ xn @ xp )
& ( xn != xp ) ) ).
thf(zip_derived_cl79,plain,
xm != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl4834,plain,
( ( xn = sz00 )
| ( sz10 != xk )
| ( xn != sz10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4833,zip_derived_cl79]) ).
thf(zip_derived_cl4835,plain,
( ( sz10 = sz00 )
| ( sz10 != xk )
| ( xn != sz10 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl4834]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl2,plain,
sz10 != sz00,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl4836,plain,
( ( sz10 != xk )
| ( xn != sz10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4835,zip_derived_cl2]) ).
thf(zip_derived_cl4837,plain,
( ( sz10 != sz10 )
| ( xk = sz00 )
| ( xn != sz10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl4836]) ).
thf(zip_derived_cl4839,plain,
( ( xn != sz10 )
| ( xk = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4837]) ).
thf(zip_derived_cl1766_029,plain,
( ( xn = sz00 )
| ( xm = sz00 )
| ( sz00 != xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl1765]) ).
thf(zip_derived_cl4842,plain,
( ( sz00 != sz00 )
| ( xn != sz10 )
| ( xm = sz00 )
| ( xn = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4839,zip_derived_cl1766]) ).
thf(zip_derived_cl4857,plain,
( ( xn = sz00 )
| ( xm = sz00 )
| ( xn != sz10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4842]) ).
thf(zip_derived_cl4858,plain,
( ( sz10 = sz00 )
| ( xm = sz00 )
| ( xn != sz10 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl4857]) ).
thf(zip_derived_cl2_030,plain,
sz10 != sz00,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl4929,plain,
( ( xm = sz00 )
| ( xn != sz10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4858,zip_derived_cl2]) ).
thf(zip_derived_cl85,plain,
~ ( doDivides0 @ xp @ xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4935,plain,
( ~ ( doDivides0 @ xp @ sz00 )
| ( xn != sz10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4929,zip_derived_cl85]) ).
thf(zip_derived_cl1743_031,plain,
( ( sz00 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1741,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl74_032,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1761,plain,
( ( doDivides0 @ xp @ sz00 )
| ( sz00 != xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl1743,zip_derived_cl74]) ).
thf(zip_derived_cl5057,plain,
( ( xn != sz10 )
| ( sz00 != xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl4935,zip_derived_cl1761]) ).
thf(zip_derived_cl4839_033,plain,
( ( xn != sz10 )
| ( xk = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4837]) ).
thf(zip_derived_cl5070,plain,
xn != sz10,
inference(clc,[status(thm)],[zip_derived_cl5057,zip_derived_cl4839]) ).
thf(zip_derived_cl81,plain,
xn != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl5126,plain,
sz10 != xk,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5125,zip_derived_cl5070,zip_derived_cl81]) ).
thf(zip_derived_cl5141,plain,
( ( sz10 != sz10 )
| ( xk = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl5126]) ).
thf(zip_derived_cl5143,plain,
xk = sz00,
inference(simplify,[status(thm)],[zip_derived_cl5141]) ).
thf(zip_derived_cl5237,plain,
( ( xn = sz00 )
| ( xm = sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1766,zip_derived_cl5143]) ).
thf(zip_derived_cl5238,plain,
( ( xm = sz00 )
| ( xn = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5237]) ).
thf(zip_derived_cl84,plain,
~ ( doDivides0 @ xp @ xn ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_034,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl51_035,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_cl815,plain,
! [X0: $i,X1: $i] :
( ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl51]) ).
thf(zip_derived_cl1_036,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl820,plain,
! [X0: $i,X1: $i] :
( ( X1 != sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl815,zip_derived_cl1]) ).
thf(zip_derived_cl821,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl820]) ).
thf(zip_derived_cl5174,plain,
( ( xn != sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl821]) ).
thf(zip_derived_cl70_037,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_038,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5196,plain,
xn != sz00,
inference(demod,[status(thm)],[zip_derived_cl5174,zip_derived_cl70,zip_derived_cl72]) ).
thf(zip_derived_cl85_039,plain,
~ ( doDivides0 @ xp @ xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl821_040,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X1 != sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl820]) ).
thf(zip_derived_cl5175,plain,
( ( xm != sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl821]) ).
thf(zip_derived_cl70_041,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_042,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl5197,plain,
xm != sz00,
inference(demod,[status(thm)],[zip_derived_cl5175,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl5265,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5238,zip_derived_cl5196,zip_derived_cl5197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM498+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pljpvRqmUY true
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 17:31:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.21 % Solved by fo/fo3_bce.sh.
% 1.29/1.21 % BCE start: 86
% 1.29/1.21 % BCE eliminated: 1
% 1.29/1.21 % PE start: 85
% 1.29/1.21 logic: eq
% 1.29/1.21 % PE eliminated: -5
% 1.29/1.21 % done 510 iterations in 0.464s
% 1.29/1.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/1.21 % SZS output start Refutation
% See solution above
% 1.29/1.21
% 1.29/1.21
% 1.29/1.21 % Terminating...
% 1.88/1.27 % Runner terminated.
% 1.88/1.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------