TSTP Solution File: NUM513+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM513+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.wHtxwChW1O true
% Computer : n024.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 12:42:01 EDT 2023
% Result : Theorem 61.30s 9.43s
% Output : Refutation 61.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 32
% Syntax : Number of formulae : 173 ( 73 unt; 17 typ; 0 def)
% Number of atoms : 430 ( 209 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1275 ( 203 ~; 207 |; 46 &; 798 @)
% ( 2 <=>; 19 =>; 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 : 19 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 110 ( 0 ^; 103 !; 7 ?; 110 :)
% 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(sk__4_type,type,
sk__4: $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(xm_type,type,
xm: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(xk_type,type,
xk: $i ).
thf(xr_type,type,
xr: $i ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__2487,axiom,
( ( doDivides0 @ xr @ xn )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl72,plain,
( xn
= ( sdtasdt0 @ xr @ sk__9 ) ),
inference(cnf,[status(esa)],[m__2487]) ).
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_cl21,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(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl18,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_cl397,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_cl21,zip_derived_cl18]) ).
thf(zip_derived_cl409,plain,
! [X0: $i] :
( ( X0 != xn )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__9 )
| ( sk__9
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl397]) ).
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_cl45,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl73,plain,
aNaturalNumber0 @ sk__9,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl427,plain,
! [X0: $i] :
( ( X0 != xn )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__9
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl45,zip_derived_cl73]) ).
thf(zip_derived_cl49,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl428,plain,
! [X0: $i] :
( ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__9
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl427,zip_derived_cl49]) ).
thf(m__2576,axiom,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) )
& ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) )
& ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
& ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ) ).
thf(zip_derived_cl86,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ),
inference(cnf,[status(esa)],[m__2576]) ).
thf(zip_derived_cl1122,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ sk__9 @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xn )
| ( xn != xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl86]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl25,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1126,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ sk__9 @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) )
| ( xn != xn ) ),
inference(demod,[status(thm)],[zip_derived_cl1122,zip_derived_cl25]) ).
thf(zip_derived_cl1127,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ sk__9 @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl1126]) ).
thf(zip_derived_cl1559,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ sk__9 ) @ xr )
= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1127]) ).
thf(zip_derived_cl24,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl73_002,plain,
aNaturalNumber0 @ sk__9,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl1561,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xm @ sk__9 ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1559,zip_derived_cl24,zip_derived_cl73]) ).
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_cl3,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_cl1596,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xm @ ( sdtasdt0 @ sk__9 @ xr ) ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1561,zip_derived_cl3]) ).
thf(zip_derived_cl45_003,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl24_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl73_005,plain,
aNaturalNumber0 @ sk__9,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl1614,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xm @ ( sdtasdt0 @ sk__9 @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1596,zip_derived_cl45,zip_derived_cl24,zip_derived_cl73]) ).
thf(zip_derived_cl1798,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xm @ ( sdtasdt0 @ xr @ sk__9 ) ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1614]) ).
thf(zip_derived_cl72_006,plain,
( xn
= ( sdtasdt0 @ xr @ sk__9 ) ),
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl45_007,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl73_008,plain,
aNaturalNumber0 @ sk__9,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl1801,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xm @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl1798,zip_derived_cl72,zip_derived_cl45,zip_derived_cl73]) ).
thf(zip_derived_cl72_009,plain,
( xn
= ( sdtasdt0 @ xr @ sk__9 ) ),
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl18_010,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_cl152,plain,
! [X0: $i] :
( ( X0 != xn )
| ~ ( aNaturalNumber0 @ sk__9 )
| ( doDivides0 @ xr @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl18]) ).
thf(zip_derived_cl73_011,plain,
aNaturalNumber0 @ sk__9,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl45_012,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ( X0 != xn )
| ( doDivides0 @ xr @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl73,zip_derived_cl45]) ).
thf(mDivAsso,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X2 @ ( sdtsldt0 @ X1 @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X2 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivAsso]) ).
thf(zip_derived_cl606,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl22]) ).
thf(zip_derived_cl45_013,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl614,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl606,zip_derived_cl45]) ).
thf(zip_derived_cl615,plain,
! [X0: $i,X1: $i] :
( ( xr = sz00 )
| ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl614]) ).
thf(zip_derived_cl49_014,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl616,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl615,zip_derived_cl49]) ).
thf(zip_derived_cl47322,plain,
( ( ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ xn )
| ( xn != xn )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl1801,zip_derived_cl616]) ).
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_cl76,plain,
( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl45_015,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl73_016,plain,
aNaturalNumber0 @ sk__9,
inference(cnf,[status(esa)],[m__2487]) ).
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_cl9,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_cl287,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sk__9 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= ( sdtasdt0 @ X0 @ sk__9 ) )
| ( X0 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl9]) ).
thf(zip_derived_cl14548,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( ( sdtasdt0 @ xr @ X0 )
!= ( sdtasdt0 @ xr @ sk__9 ) )
| ( X0 = sk__9 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl287]) ).
thf(zip_derived_cl72_017,plain,
( xn
= ( sdtasdt0 @ xr @ sk__9 ) ),
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl14562,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( ( sdtasdt0 @ xr @ X0 )
!= xn )
| ( X0 = sk__9 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14548,zip_derived_cl72]) ).
thf(zip_derived_cl49_018,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl14563,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xr @ X0 )
!= xn )
| ( X0 = sk__9 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14562,zip_derived_cl49]) ).
thf(zip_derived_cl31196,plain,
( ( xn != xn )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtsldt0 @ xn @ xr )
= sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl14563]) ).
thf(zip_derived_cl77,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl31220,plain,
( ( xn != xn )
| ( ( sdtsldt0 @ xn @ xr )
= sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl31196,zip_derived_cl77]) ).
thf(zip_derived_cl31221,plain,
( ( sdtsldt0 @ xn @ xr )
= sk__9 ),
inference(simplify,[status(thm)],[zip_derived_cl31220]) ).
thf(m__2362,axiom,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xr @ W0 )
= xk )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl56,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sk__4 ) ),
inference(cnf,[status(esa)],[m__2362]) ).
thf(zip_derived_cl397_019,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_cl21,zip_derived_cl18]) ).
thf(zip_derived_cl435,plain,
! [X0: $i] :
( ( X0
!= ( sdtasdt0 @ xn @ xm ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__4 )
| ( sk__4
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl397]) ).
thf(zip_derived_cl45_020,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl57,plain,
aNaturalNumber0 @ sk__4,
inference(cnf,[status(esa)],[m__2362]) ).
thf(zip_derived_cl445,plain,
! [X0: $i] :
( ( X0
!= ( sdtasdt0 @ xn @ xm ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__4
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl435,zip_derived_cl45,zip_derived_cl57]) ).
thf(zip_derived_cl49_021,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl446,plain,
! [X0: $i] :
( ( X0
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__4
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl445,zip_derived_cl49]) ).
thf(zip_derived_cl28382,plain,
( ( sk__4
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl446]) ).
thf(m__2306,axiom,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk ) ) ).
thf(zip_derived_cl39,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl117,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1]) ).
thf(zip_derived_cl40,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl23,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl121,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl40,zip_derived_cl23]) ).
thf(zip_derived_cl28383,plain,
( sk__4
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl28382,zip_derived_cl121]) ).
thf(zip_derived_cl25_022,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl24_023,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl47453,plain,
( ( ( sdtasdt0 @ xm @ sk__9 )
= sk__4 )
| ( xn != xn ) ),
inference(demod,[status(thm)],[zip_derived_cl47322,zip_derived_cl31221,zip_derived_cl28383,zip_derived_cl25,zip_derived_cl24]) ).
thf(zip_derived_cl47454,plain,
( ( sdtasdt0 @ xm @ sk__9 )
= sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl47453]) ).
thf(zip_derived_cl46,plain,
( xk
= ( sdtasdt0 @ xr @ sk__3 ) ),
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl397_024,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_cl21,zip_derived_cl18]) ).
thf(zip_derived_cl406,plain,
! [X0: $i] :
( ( X0 != xk )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__3 )
| ( sk__3
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl397]) ).
thf(zip_derived_cl45_025,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl47,plain,
aNaturalNumber0 @ sk__3,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl421,plain,
! [X0: $i] :
( ( X0 != xk )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__3
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl45,zip_derived_cl47]) ).
thf(zip_derived_cl49_026,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl422,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__3
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl421,zip_derived_cl49]) ).
thf(zip_derived_cl428_027,plain,
! [X0: $i] :
( ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( sk__9
= ( sdtsldt0 @ X0 @ xr ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl427,zip_derived_cl49]) ).
thf(zip_derived_cl2_028,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ) )
& ( xk
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xk @ xr ) ) ) )
=> ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ) )
& ( xk
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xk @ xr ) ) ) )
=> ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl91,plain,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl91]) ).
thf(zip_derived_cl24_029,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl103,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl24]) ).
thf(zip_derived_cl77_030,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl106,plain,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl77]) ).
thf(zip_derived_cl749,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ sk__9 ) )
| ~ ( aNaturalNumber0 @ xn )
| ( xn != xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl106]) ).
thf(zip_derived_cl25_031,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl775,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ sk__9 ) )
| ( xn != xn ) ),
inference(demod,[status(thm)],[zip_derived_cl749,zip_derived_cl25]) ).
thf(zip_derived_cl776,plain,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl775]) ).
thf(zip_derived_cl784,plain,
( ( ( sdtasdt0 @ xp @ sk__3 )
!= ( sdtasdt0 @ xm @ sk__9 ) )
| ~ ( aNaturalNumber0 @ xk )
| ( xk != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl776]) ).
thf(zip_derived_cl40_032,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl786,plain,
( ( ( sdtasdt0 @ xp @ sk__3 )
!= ( sdtasdt0 @ xm @ sk__9 ) )
| ( xk != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl40]) ).
thf(zip_derived_cl787,plain,
( ( sdtasdt0 @ xp @ sk__3 )
!= ( sdtasdt0 @ xm @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl786]) ).
thf(zip_derived_cl39_033,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl46_034,plain,
( xk
= ( sdtasdt0 @ xr @ sk__3 ) ),
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl18_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_cl126,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( aNaturalNumber0 @ sk__3 )
| ( doDivides0 @ xr @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl18]) ).
thf(zip_derived_cl47_036,plain,
aNaturalNumber0 @ sk__3,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl45_037,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
( ( X0 != xk )
| ( doDivides0 @ xr @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl47,zip_derived_cl45]) ).
thf(zip_derived_cl22_038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X2 @ ( sdtsldt0 @ X1 @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X2 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivAsso]) ).
thf(zip_derived_cl605,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 != xk )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl22]) ).
thf(zip_derived_cl45_039,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl611,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 != xk )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl605,zip_derived_cl45]) ).
thf(zip_derived_cl612,plain,
! [X0: $i,X1: $i] :
( ( xr = sz00 )
| ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 != xk )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl611]) ).
thf(zip_derived_cl49_040,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl613,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 != xk )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl612,zip_derived_cl49]) ).
thf(zip_derived_cl46893,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ xk )
| ( xk != xk )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl613]) ).
thf(zip_derived_cl90,plain,
( xk
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xk @ xr ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_041,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl47_042,plain,
aNaturalNumber0 @ sk__3,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl9_043,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_cl281,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sk__3 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= ( sdtasdt0 @ X0 @ sk__3 ) )
| ( X0 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl9]) ).
thf(zip_derived_cl13389,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( ( sdtasdt0 @ xr @ X0 )
!= ( sdtasdt0 @ xr @ sk__3 ) )
| ( X0 = sk__3 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl281]) ).
thf(zip_derived_cl46_044,plain,
( xk
= ( sdtasdt0 @ xr @ sk__3 ) ),
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl13403,plain,
! [X0: $i] :
( ( xr = sz00 )
| ( ( sdtasdt0 @ xr @ X0 )
!= xk )
| ( X0 = sk__3 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13389,zip_derived_cl46]) ).
thf(zip_derived_cl49_045,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl13404,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xr @ X0 )
!= xk )
| ( X0 = sk__3 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13403,zip_derived_cl49]) ).
thf(zip_derived_cl30741,plain,
( ( xk != xk )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ) )
| ( ( sdtsldt0 @ xk @ xr )
= sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl13404]) ).
thf(zip_derived_cl89,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30766,plain,
( ( xk != xk )
| ( ( sdtsldt0 @ xk @ xr )
= sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl30741,zip_derived_cl89]) ).
thf(zip_derived_cl30767,plain,
( ( sdtsldt0 @ xk @ xr )
= sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl30766]) ).
thf(zip_derived_cl28383_046,plain,
( sk__4
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl28382,zip_derived_cl121]) ).
thf(zip_derived_cl40_047,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl23_048,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl47026,plain,
( ( ( sdtasdt0 @ xp @ sk__3 )
= sk__4 )
| ( xk != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl46893,zip_derived_cl30767,zip_derived_cl28383,zip_derived_cl40,zip_derived_cl23]) ).
thf(zip_derived_cl47027,plain,
( ( sdtasdt0 @ xp @ sk__3 )
= sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl47026]) ).
thf(zip_derived_cl48036,plain,
( sk__4
!= ( sdtasdt0 @ xm @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl787,zip_derived_cl47027]) ).
thf(zip_derived_cl48894,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl47454,zip_derived_cl48036]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : NUM513+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wHtxwChW1O true
% 0.13/0.34 % Computer : n024.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 13:45:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.82/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.82/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 61.30/9.43 % Solved by fo/fo4.sh.
% 61.30/9.43 % done 4892 iterations in 8.665s
% 61.30/9.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 61.30/9.43 % SZS output start Refutation
% See solution above
% 61.30/9.44
% 61.30/9.44
% 61.30/9.44 % Terminating...
% 62.33/9.56 % Runner terminated.
% 62.33/9.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------