TSTP Solution File: NUM513+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM513+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rM5mZzYIj3 true
% Computer : n027.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 168.25s 24.73s
% Output : Refutation 168.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 26
% Syntax : Number of formulae : 131 ( 52 unt; 13 typ; 0 def)
% Number of atoms : 313 ( 110 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 937 ( 135 ~; 165 |; 17 &; 607 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 74 ( 0 ^; 73 !; 1 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(xn_type,type,
xn: $i ).
thf(xr_type,type,
xr: $i ).
thf(xm_type,type,
xm: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl88,plain,
doDivides0 @ xr @ xk,
inference(cnf,[status(esa)],[m__2342]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__2306,axiom,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1146,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
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_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1153,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1146,zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl1938,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xp = sz00 )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1153]) ).
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_cl1939,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1938,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl1942,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( xp = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1939]) ).
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_cl2003,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xk )
| ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( doDivides0 @ X0 @ xk ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1942,zip_derived_cl59]) ).
thf(zip_derived_cl70_001,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2040,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xk )
| ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 ) )
| ~ ( doDivides0 @ X0 @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl2003,zip_derived_cl70]) ).
thf(zip_derived_cl74_002,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl982,plain,
! [X0: $i,X1: $i] :
( ~ ( doDivides0 @ X1 @ X0 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl58697,plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl982]) ).
thf(zip_derived_cl82_003,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl5_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl74_005,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
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_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl969,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl49]) ).
thf(zip_derived_cl70_006,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl974,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl969,zip_derived_cl70]) ).
thf(zip_derived_cl1538,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl974]) ).
thf(zip_derived_cl71_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1539,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1538,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl1540,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl5]) ).
thf(zip_derived_cl70_010,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1561,plain,
( ~ ( aNaturalNumber0 @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1540,zip_derived_cl70]) ).
thf(zip_derived_cl5_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl74_012,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl281,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl50]) ).
thf(zip_derived_cl70_013,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl285,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl70]) ).
thf(zip_derived_cl4069,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl285]) ).
thf(zip_derived_cl71_014,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_015,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl4072,plain,
aNaturalNumber0 @ ( sk__1 @ ( sdtasdt0 @ xn @ xm ) @ xp ),
inference(demod,[status(thm)],[zip_derived_cl4069,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl4073,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl4072]) ).
thf(zip_derived_cl70_016,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl58784,plain,
( ( aNaturalNumber0 @ xk )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl58697,zip_derived_cl82,zip_derived_cl4073,zip_derived_cl70]) ).
thf(zip_derived_cl209525,plain,
! [X0: $i] :
( ~ ( doDivides0 @ X0 @ xk )
| ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ X0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( xp = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl2040,zip_derived_cl58784]) ).
thf(zip_derived_cl209528,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 )
| ( xp = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl209525]) ).
thf(zip_derived_cl89,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl209535,plain,
( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( xr = sz00 )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl209528,zip_derived_cl89]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl59_017,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_cl1221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X2 = sz00 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ X1 @ X2 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ X2 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl59]) ).
thf(zip_derived_cl1240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X2 @ X1 )
| ( ( sdtasdt0 @ X0 @ ( sdtsldt0 @ X1 @ X2 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ( X2 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1221]) ).
thf(zip_derived_cl210353,plain,
( ( xp = sz00 )
| ( xr = sz00 )
| ~ ( doDivides0 @ xr @ xn )
| ( ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) ) )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl209535,zip_derived_cl1240]) ).
thf(m__2487,axiom,
doDivides0 @ xr @ xn ).
thf(zip_derived_cl95,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl89_018,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl71_019,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_020,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl210417,plain,
( ( xp = sz00 )
| ( xr = sz00 )
| ( ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) ) )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl210353,zip_derived_cl95,zip_derived_cl89,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl210418,plain,
( ( ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) )
= ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) ) )
| ( xr = sz00 )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl210417]) ).
thf(zip_derived_cl95_021,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl49_022,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl971,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl49]) ).
thf(zip_derived_cl89_023,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl72_024,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl976,plain,
( xn
= ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl971,zip_derived_cl89,zip_derived_cl72]) ).
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(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_cl107,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_cl1125,plain,
! [X0: $i] :
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ( xr = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl107]) ).
thf(zip_derived_cl95_025,plain,
doDivides0 @ xr @ xn,
inference(cnf,[status(esa)],[m__2487]) ).
thf(zip_derived_cl50_026,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl283,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl50]) ).
thf(zip_derived_cl89_027,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl72_028,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl287,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl89_029,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1145,plain,
! [X0: $i] :
( ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ X0 @ xr ) )
| ( X0 != xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1125,zip_derived_cl287,zip_derived_cl89]) ).
thf(zip_derived_cl3384,plain,
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xn )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1145]) ).
thf(zip_derived_cl72_030,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3385,plain,
( ( xr = sz00 )
| ( ( sk__1 @ xn @ xr )
= ( sdtsldt0 @ xn @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3384,zip_derived_cl72]) ).
thf(zip_derived_cl287_031,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl3390,plain,
( ( xr = sz00 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3385,zip_derived_cl287]) ).
thf(zip_derived_cl10_032,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl100,plain,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl100]) ).
thf(zip_derived_cl71_033,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl234,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl71]) ).
thf(zip_derived_cl3454,plain,
( ( xr = sz00 )
| ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
!= ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3390,zip_derived_cl234]) ).
thf(zip_derived_cl210457,plain,
( ( xp = sz00 )
| ( xr = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl210418,zip_derived_cl3454]) ).
thf(zip_derived_cl87,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl210458,plain,
( ( xp = sz00 )
| ( isPrime0 @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl210457,zip_derived_cl87]) ).
thf(mDefPrime,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( isPrime0 @ W0 )
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl110,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( isPrime0 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl111,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl1]) ).
thf(zip_derived_cl212194,plain,
xp = sz00,
inference(clc,[status(thm)],[zip_derived_cl210458,zip_derived_cl111]) ).
thf(zip_derived_cl111_034,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl1]) ).
thf(zip_derived_cl212198,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl212194,zip_derived_cl111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM513+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rM5mZzYIj3 true
% 0.13/0.34 % Computer : n027.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 09:03:48 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
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 168.25/24.73 % Solved by fo/fo13.sh.
% 168.25/24.73 % done 6771 iterations in 23.921s
% 168.25/24.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 168.25/24.73 % SZS output start Refutation
% See solution above
% 168.25/24.74
% 168.25/24.74
% 168.25/24.74 % Terminating...
% 169.10/24.83 % Runner terminated.
% 169.10/24.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------