TSTP Solution File: NUM516+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM516+3 : 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.oJsANijL4a true
% Computer : n029.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 12:42:02 EDT 2023
% Result : Theorem 1.27s 1.27s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 82 ( 30 unt; 15 typ; 0 def)
% Number of atoms : 200 ( 81 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 795 ( 80 ~; 78 |; 40 &; 582 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 41 !; 6 ?; 47 :)
% 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(sk__17_type,type,
sk__17: $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__2487,axiom,
( ( doDivides0 @ xr @ xn )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl149,plain,
( xn
= ( sdtasdt0 @ xr @ sk__17 ) ),
inference(cnf,[status(esa)],[m__2487]) ).
thf(m__2504,axiom,
( ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ~ ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtsldt0 @ xn @ xr )
= xn ) ) ) ).
thf(zip_derived_cl153,plain,
( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(cnf,[status(esa)],[m__2504]) ).
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_cl1545,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl21]) ).
thf(zip_derived_cl154,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
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_cl122,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1582,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1545,zip_derived_cl154,zip_derived_cl122]) ).
thf(zip_derived_cl126,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1583,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1582,zip_derived_cl126]) ).
thf(zip_derived_cl3267,plain,
( ( xn != xn )
| ( ( sdtsldt0 @ xn @ xr )
= sk__17 )
| ~ ( aNaturalNumber0 @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl1583]) ).
thf(zip_derived_cl150,plain,
aNaturalNumber0 @ sk__17,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl3280,plain,
( ( xn != xn )
| ( ( sdtsldt0 @ xn @ xr )
= sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl3267,zip_derived_cl150]) ).
thf(zip_derived_cl3281,plain,
( ( sdtsldt0 @ xn @ xr )
= sk__17 ),
inference(simplify,[status(thm)],[zip_derived_cl3280]) ).
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(zip_derived_cl4_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
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_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mMonAdd]) ).
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_cl7_002,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(m__,conjecture,
( ~ ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ~ ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl173,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1958,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl173]) ).
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_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1966,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1958,zip_derived_cl70,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl2060,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1966]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl154_004,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl71_005,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2065,plain,
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2060,zip_derived_cl70,zip_derived_cl154,zip_derived_cl71]) ).
thf(zip_derived_cl2184,plain,
( ( ( sdtsldt0 @ xn @ xr )
= xn )
| ~ ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl2065]) ).
thf(zip_derived_cl159,plain,
sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn,
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl72_006,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl154_007,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl2187,plain,
( ( ( sdtsldt0 @ xn @ xr )
= xn )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2184,zip_derived_cl159,zip_derived_cl72,zip_derived_cl154]) ).
thf(zip_derived_cl152,plain,
( ( sdtsldt0 @ xn @ xr )
!= xn ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl2188,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2187,zip_derived_cl152]) ).
thf(zip_derived_cl2191,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2188]) ).
thf(zip_derived_cl70_008,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2192,plain,
( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2191,zip_derived_cl70,zip_derived_cl71]) ).
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_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= ( sdtpldt0 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl2196,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2192,zip_derived_cl18]) ).
thf(zip_derived_cl154_010,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl2212,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2196,zip_derived_cl154]) ).
thf(zip_derived_cl3963,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2212]) ).
thf(zip_derived_cl70_011,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_012,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3964,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3963,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl4157,plain,
( ( ( sdtsldt0 @ xn @ xr )
= xn )
| ~ ( aNaturalNumber0 @ xn ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3964]) ).
thf(zip_derived_cl72_013,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl4158,plain,
( ( sdtsldt0 @ xn @ xr )
= xn ),
inference(demod,[status(thm)],[zip_derived_cl4157,zip_derived_cl72]) ).
thf(zip_derived_cl4169,plain,
xn = sk__17,
inference(demod,[status(thm)],[zip_derived_cl3281,zip_derived_cl4158]) ).
thf(zip_derived_cl152_014,plain,
( ( sdtsldt0 @ xn @ xr )
!= xn ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl3281_015,plain,
( ( sdtsldt0 @ xn @ xr )
= sk__17 ),
inference(simplify,[status(thm)],[zip_derived_cl3280]) ).
thf(zip_derived_cl3282,plain,
sk__17 != xn,
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl3281]) ).
thf(zip_derived_cl4170,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4169,zip_derived_cl3282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM516+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oJsANijL4a true
% 0.14/0.35 % Computer : n029.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 09:44:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.27 % Solved by fo/fo6_bce.sh.
% 1.27/1.27 % BCE start: 177
% 1.27/1.27 % BCE eliminated: 1
% 1.27/1.27 % PE start: 176
% 1.27/1.27 logic: eq
% 1.27/1.27 % PE eliminated: 11
% 1.27/1.27 % done 482 iterations in 0.511s
% 1.27/1.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/1.27 % SZS output start Refutation
% See solution above
% 1.27/1.27
% 1.27/1.27
% 1.27/1.27 % Terminating...
% 1.89/1.36 % Runner terminated.
% 1.89/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------