TSTP Solution File: NUM511+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM511+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.4XIV5Smpw7 true
% Computer : n025.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 12:42:00 EDT 2023
% Result : Theorem 83.17s 12.62s
% Output : Refutation 83.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 103 ( 37 unt; 17 typ; 0 def)
% Number of atoms : 253 ( 112 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 725 ( 102 ~; 110 |; 39 &; 456 @)
% ( 2 <=>; 16 =>; 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 : 71 ( 0 ^; 62 !; 9 ?; 71 :)
% 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(sk__11_type,type,
sk__11: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $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__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_cl133,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sk__12 ) ),
inference(cnf,[status(esa)],[m__2362]) ).
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_cl54,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_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_cl3152,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_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl3173,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtsldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3152]) ).
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(zip_derived_cl88828,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sdtsldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl3173,zip_derived_cl5]) ).
thf(zip_derived_cl88907,plain,
( ( sk__12
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl133,zip_derived_cl88828]) ).
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_cl134,plain,
aNaturalNumber0 @ sk__12,
inference(cnf,[status(esa)],[m__2362]) ).
thf(zip_derived_cl89031,plain,
( ( sk__12
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl88907,zip_derived_cl122,zip_derived_cl134]) ).
thf(zip_derived_cl126,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl89032,plain,
( sk__12
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl89031,zip_derived_cl126]) ).
thf(m__2306,axiom,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk ) ) ).
thf(zip_derived_cl116,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
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_cl59,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_cl3409,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 ) )
| ~ ( doDivides0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl59]) ).
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_cl117,plain,
aNaturalNumber0 @ xk,
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl3435,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 ) )
| ~ ( doDivides0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3409,zip_derived_cl70,zip_derived_cl117]) ).
thf(zip_derived_cl102850,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= sk__12 )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( doDivides0 @ xr @ xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl89032,zip_derived_cl3435]) ).
thf(zip_derived_cl123,plain,
( xk
= ( sdtasdt0 @ xr @ sk__11 ) ),
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl88828_001,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sdtsldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl3173,zip_derived_cl5]) ).
thf(zip_derived_cl88905,plain,
( ( sk__11
= ( sdtsldt0 @ xk @ xr ) )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl88828]) ).
thf(zip_derived_cl122_002,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl124,plain,
aNaturalNumber0 @ sk__11,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl89027,plain,
( ( sk__11
= ( sdtsldt0 @ xk @ xr ) )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl88905,zip_derived_cl122,zip_derived_cl124]) ).
thf(zip_derived_cl126_003,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl89028,plain,
( sk__11
= ( sdtsldt0 @ xk @ xr ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl89027,zip_derived_cl126]) ).
thf(zip_derived_cl122_004,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl125,plain,
doDivides0 @ xr @ xk,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl102868,plain,
( ( ( sdtasdt0 @ xp @ sk__11 )
= sk__12 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl102850,zip_derived_cl89028,zip_derived_cl122,zip_derived_cl125]) ).
thf(zip_derived_cl126_005,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl102869,plain,
( ( sdtasdt0 @ xp @ sk__11 )
= sk__12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl102868,zip_derived_cl126]) ).
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(m__,conjecture,
( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ? [W0: $i] :
( ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ? [W0: $i] :
( ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1369,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl162]) ).
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_cl154,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1401,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1369,zip_derived_cl154,zip_derived_cl71]) ).
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(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_cl2050,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( xr = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl21]) ).
thf(zip_derived_cl122_006,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl154_007,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl2095,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2050,zip_derived_cl122,zip_derived_cl154]) ).
thf(zip_derived_cl126_008,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl2096,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xr @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtsldt0 @ xn @ xr )
= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2095,zip_derived_cl126]) ).
thf(zip_derived_cl2620,plain,
( ( xn != xn )
| ( ( sdtsldt0 @ xn @ xr )
= sk__17 )
| ~ ( aNaturalNumber0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl2096]) ).
thf(zip_derived_cl150,plain,
aNaturalNumber0 @ sk__17,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl2636,plain,
( ( xn != xn )
| ( ( sdtsldt0 @ xn @ xr )
= sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2620,zip_derived_cl150]) ).
thf(zip_derived_cl2637,plain,
( ( sdtsldt0 @ xn @ xr )
= sk__17 ),
inference(simplify,[status(thm)],[zip_derived_cl2636]) ).
thf(zip_derived_cl2645,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xm @ sk__17 )
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1401,zip_derived_cl2637]) ).
thf(zip_derived_cl89032_009,plain,
( sk__12
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl89031,zip_derived_cl126]) ).
thf(zip_derived_cl10_010,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl59_011,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_cl3399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ X1 @ X2 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ X2 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X2 = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl59]) ).
thf(zip_derived_cl3421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X2 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ X1 @ X2 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3399]) ).
thf(zip_derived_cl97427,plain,
( ( ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) )
= sk__12 )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( doDivides0 @ xr @ xn )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl89032,zip_derived_cl3421]) ).
thf(zip_derived_cl2637_012,plain,
( ( sdtsldt0 @ xn @ xr )
= sk__17 ),
inference(simplify,[status(thm)],[zip_derived_cl2636]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_013,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl151,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl122_014,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl97533,plain,
( ( ( sdtasdt0 @ xm @ sk__17 )
= sk__12 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl97427,zip_derived_cl2637,zip_derived_cl72,zip_derived_cl71,zip_derived_cl151,zip_derived_cl122]) ).
thf(zip_derived_cl126_015,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl97534,plain,
( ( sdtasdt0 @ xm @ sk__17 )
= sk__12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl97533,zip_derived_cl126]) ).
thf(zip_derived_cl97639,plain,
! [X0: $i] :
( ( sk__12
!= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2645,zip_derived_cl97534]) ).
thf(zip_derived_cl105455,plain,
( ( sk__12 != sk__12 )
| ~ ( aNaturalNumber0 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl102869,zip_derived_cl97639]) ).
thf(zip_derived_cl124_016,plain,
aNaturalNumber0 @ sk__11,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl105484,plain,
sk__12 != sk__12,
inference(demod,[status(thm)],[zip_derived_cl105455,zip_derived_cl124]) ).
thf(zip_derived_cl105485,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl105484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM511+3 : 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.4XIV5Smpw7 true
% 0.13/0.34 % Computer : n025.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
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 300
% 0.20/0.34 % DateTime : Fri Aug 25 09:47:52 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.34 % Running portfolio for 300 s
% 0.20/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 83.17/12.62 % Solved by fo/fo3_bce.sh.
% 83.17/12.62 % BCE start: 164
% 83.17/12.62 % BCE eliminated: 1
% 83.17/12.62 % PE start: 163
% 83.17/12.62 logic: eq
% 83.17/12.62 % PE eliminated: -11
% 83.17/12.62 % done 7665 iterations in 11.817s
% 83.17/12.62 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 83.17/12.62 % SZS output start Refutation
% See solution above
% 83.17/12.63
% 83.17/12.63
% 83.17/12.63 % Terminating...
% 83.94/12.70 % Runner terminated.
% 83.94/12.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------