TSTP Solution File: NUM507+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM507+3 : 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.MtseAVqBjJ true
% Computer : n009.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 12:41:58 EDT 2023
% Result : Theorem 1.30s 1.05s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 106 ( 42 unt; 14 typ; 0 def)
% Number of atoms : 253 ( 79 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 879 ( 101 ~; 107 |; 39 &; 617 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 58 ( 0 ^; 53 !; 5 ?; 58 :)
% 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(sdtpldt0_type,type,
sdtpldt0: $i > $i > $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(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(xk_type,type,
xk: $i ).
thf(xr_type,type,
xr: $i ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xr
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xr ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( doDivides0 @ xr @ xk )
& ? [W0: $i] :
( ( xk
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl125,plain,
doDivides0 @ xr @ xk,
inference(cnf,[status(esa)],[m__2342]) ).
thf(mDivLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdtlseqdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 = sz00 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivLE]) ).
thf(zip_derived_cl1095,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xk )
| ( sdtlseqdt0 @ xr @ xk )
| ( xk = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl58]) ).
thf(zip_derived_cl122,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(m__2306,axiom,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk ) ) ).
thf(zip_derived_cl117,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl1099,plain,
( ( sdtlseqdt0 @ xr @ xk )
| ( xk = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1095,zip_derived_cl122,zip_derived_cl117]) ).
thf(m__2315,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ) ).
thf(zip_derived_cl119,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2315]) ).
thf(zip_derived_cl1100,plain,
sdtlseqdt0 @ xr @ xk,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1099,zip_derived_cl119]) ).
thf(zip_derived_cl1100_001,plain,
sdtlseqdt0 @ xr @ xk,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1099,zip_derived_cl119]) ).
thf(mSortsB,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(m__,conjecture,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl140,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mMonAdd,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X2 @ X0 ) @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mMonAdd]) ).
thf(zip_derived_cl1294,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ xr @ xp )
| ( xr = xp ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl140,zip_derived_cl37]) ).
thf(zip_derived_cl122_002,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
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_cl1329,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ xr @ xp )
| ( xr = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1294,zip_derived_cl122,zip_derived_cl70]) ).
thf(zip_derived_cl1422,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( sdtlseqdt0 @ xr @ xp ) ),
inference(condensation,[status(thm)],[zip_derived_cl1329]) ).
thf(zip_derived_cl1423,plain,
( ( sdtlseqdt0 @ xp @ xr )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xr )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1422]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl122_004,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1425,plain,
( ( sdtlseqdt0 @ xp @ xr )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1423,zip_derived_cl70,zip_derived_cl122]) ).
thf(zip_derived_cl1723,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( sdtlseqdt0 @ xp @ xr )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1425]) ).
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_cl1724,plain,
( ( sdtlseqdt0 @ xp @ xr )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1723,zip_derived_cl71,zip_derived_cl72]) ).
thf(mLETran,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLETran]) ).
thf(zip_derived_cl1727,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xp @ X0 )
| ~ ( sdtlseqdt0 @ xr @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl33]) ).
thf(zip_derived_cl122_005,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl70_006,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1735,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xp @ X0 )
| ~ ( sdtlseqdt0 @ xr @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1727,zip_derived_cl122,zip_derived_cl70]) ).
thf(zip_derived_cl1919,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ xk )
| ( sdtlseqdt0 @ xp @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl1735]) ).
thf(zip_derived_cl117_007,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl1926,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( sdtlseqdt0 @ xp @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1919,zip_derived_cl117]) ).
thf(m__2377,axiom,
( ( sdtlseqdt0 @ xk @ xp )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xk @ W0 )
= xp )
& ( aNaturalNumber0 @ W0 ) )
& ( xk != xp ) ) ).
thf(zip_derived_cl139,plain,
sdtlseqdt0 @ xk @ xp,
inference(cnf,[status(esa)],[m__2377]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl487,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xk )
| ( xp = xk )
| ~ ( sdtlseqdt0 @ xp @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl32]) ).
thf(zip_derived_cl70_008,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl117_009,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl495,plain,
( ( xp = xk )
| ~ ( sdtlseqdt0 @ xp @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl487,zip_derived_cl70,zip_derived_cl117]) ).
thf(zip_derived_cl136,plain,
xk != xp,
inference(cnf,[status(esa)],[m__2377]) ).
thf(zip_derived_cl496,plain,
~ ( sdtlseqdt0 @ xp @ xk ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl495,zip_derived_cl136]) ).
thf(zip_derived_cl1927,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(clc,[status(thm)],[zip_derived_cl1926,zip_derived_cl496]) ).
thf(zip_derived_cl1927_010,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(clc,[status(thm)],[zip_derived_cl1926,zip_derived_cl496]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl1950,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xr )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1927,zip_derived_cl7]) ).
thf(zip_derived_cl71_011,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_012,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl122_013,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1972,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1950,zip_derived_cl71,zip_derived_cl72,zip_derived_cl122]) ).
thf(zip_derived_cl1984,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1927,zip_derived_cl1972]) ).
thf(zip_derived_cl1972_014,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1950,zip_derived_cl71,zip_derived_cl72,zip_derived_cl122]) ).
thf(zip_derived_cl7_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl2007,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xp )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1972,zip_derived_cl7]) ).
thf(zip_derived_cl71_016,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_017,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_018,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2027,plain,
( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2007,zip_derived_cl71,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl2076,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1984,zip_derived_cl2027]) ).
thf(zip_derived_cl4_019,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl1972_020,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1950,zip_derived_cl71,zip_derived_cl72,zip_derived_cl122]) ).
thf(mAddCanc,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl1993,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1972,zip_derived_cl19]) ).
thf(zip_derived_cl70_021,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2016,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1993,zip_derived_cl70]) ).
thf(zip_derived_cl2027_022,plain,
( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2007,zip_derived_cl71,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl2205,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2016,zip_derived_cl2027]) ).
thf(zip_derived_cl2206,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2205]) ).
thf(zip_derived_cl71_023,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_024,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2207,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2206,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl2213,plain,
( ~ ( aNaturalNumber0 @ xr )
| ( xp = xr )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2076,zip_derived_cl2207]) ).
thf(zip_derived_cl122_025,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl2222,plain,
( ( xp = xr )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2213,zip_derived_cl122]) ).
thf(zip_derived_cl2223,plain,
xp = xr,
inference(simplify,[status(thm)],[zip_derived_cl2222]) ).
thf(zip_derived_cl496_026,plain,
~ ( sdtlseqdt0 @ xp @ xk ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl495,zip_derived_cl136]) ).
thf(zip_derived_cl2238,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1100,zip_derived_cl2223,zip_derived_cl496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM507+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MtseAVqBjJ true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 13:31:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.86/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.86/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.05 % Solved by fo/fo13.sh.
% 1.30/1.05 % done 253 iterations in 0.280s
% 1.30/1.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/1.05 % SZS output start Refutation
% See solution above
% 1.30/1.05
% 1.30/1.05
% 1.30/1.05 % Terminating...
% 1.62/1.17 % Runner terminated.
% 1.62/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------