TSTP Solution File: NUM473+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM473+1 : 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.3ceTJVnVVr true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:41:42 EDT 2023
% Result : Theorem 70.39s 10.86s
% Output : Refutation 70.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 136 ( 66 unt; 12 typ; 0 def)
% Number of atoms : 295 ( 96 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 767 ( 120 ~; 142 |; 19 &; 476 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 76 ( 0 ^; 76 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xq_type,type,
xq: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xn_type,type,
xn: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xl_type,type,
xl: $i ).
thf(m__,conjecture,
sdtlseqdt0 @ xp @ xq ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ xp @ xq ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl66,plain,
~ ( sdtlseqdt0 @ xp @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__1379,axiom,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ) ).
thf(zip_derived_cl64,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ),
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl222,plain,
( ( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl64]) ).
thf(m__1324,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl58,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl276,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__1324_04,axiom,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
& ( doDivides0 @ xl @ xm ) ) ).
thf(zip_derived_cl60,plain,
doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl221,plain,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl60]) ).
thf(zip_derived_cl58_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl275,plain,
doDivides0 @ xl @ ( sdtpldt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl58,zip_derived_cl57]) ).
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_cl822,plain,
! [X0: $i,X1: $i] :
( ~ ( doDivides0 @ X1 @ X0 )
| ( X0
= ( sdtasdt0 @ X1 @ ( sdtsldt0 @ X0 @ X1 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl36230,plain,
( ( xl = sz00 )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl822]) ).
thf(zip_derived_cl59,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl57_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl201,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xn @ X0 )
= ( sdtpldt0 @ X0 @ xn ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl57]) ).
thf(zip_derived_cl6_006,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl58_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xm @ X0 )
= ( sdtpldt0 @ X0 @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl58]) ).
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_cl3841,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl4]) ).
thf(zip_derived_cl58_008,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl3899,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3841,zip_derived_cl58]) ).
thf(zip_derived_cl3900,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3899]) ).
thf(zip_derived_cl13406,plain,
( ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl3900]) ).
thf(zip_derived_cl58_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57_010,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl13423,plain,
aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl13406,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl276_011,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xn @ xm ) @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl36267,plain,
( ( xl = sz00 )
| ( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36230,zip_derived_cl59,zip_derived_cl13423,zip_derived_cl276]) ).
thf(m__1347,axiom,
xl != sz00 ).
thf(zip_derived_cl62,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl36268,plain,
( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36267,zip_derived_cl62]) ).
thf(zip_derived_cl36393,plain,
( xq
= ( sdtsldt0 @ ( sdtasdt0 @ xl @ xq ) @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl36268]) ).
thf(m__1360,axiom,
( xp
= ( sdtsldt0 @ xm @ xl ) ) ).
thf(zip_derived_cl63,plain,
( xp
= ( sdtsldt0 @ xm @ xl ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl53_012,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_cl821,plain,
! [X0: $i] :
( ( X0 != xp )
| ~ ( doDivides0 @ xl @ xm )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl53]) ).
thf(zip_derived_cl61,plain,
doDivides0 @ xl @ xm,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl58_013,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl59_014,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl825,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl821,zip_derived_cl61,zip_derived_cl58,zip_derived_cl59]) ).
thf(zip_derived_cl62_015,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl826,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl825,zip_derived_cl62]) ).
thf(zip_derived_cl881,plain,
( xm
= ( sdtasdt0 @ xl @ xp ) ),
inference(eq_res,[status(thm)],[zip_derived_cl826]) ).
thf(zip_derived_cl4_016,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl64_017,plain,
( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ),
inference(cnf,[status(esa)],[m__1379]) ).
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_cl592,plain,
! [X0: $i] :
( ( X0 != xq )
| ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl52]) ).
thf(zip_derived_cl60_018,plain,
doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl59_019,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl595,plain,
! [X0: $i] :
( ( X0 != xq )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl60,zip_derived_cl59]) ).
thf(zip_derived_cl62_020,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl596,plain,
! [X0: $i] :
( ( X0 != xq )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl595,zip_derived_cl62]) ).
thf(zip_derived_cl1432,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( aNaturalNumber0 @ X0 )
| ( X0 != xq ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl596]) ).
thf(zip_derived_cl57_021,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl58_022,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl1436,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ( X0 != xq ) ),
inference(demod,[status(thm)],[zip_derived_cl1432,zip_derived_cl57,zip_derived_cl58]) ).
thf(zip_derived_cl1439,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl1436]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl1441,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xq )
| ( sdtlseqdt0 @ xq @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1439,zip_derived_cl35]) ).
thf(mMonMul,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
thf(zip_derived_cl1548,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X0 @ xq )
| ( xq = X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ xq ) @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ xq )
| ( X1 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl41]) ).
thf(zip_derived_cl1439_023,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl1436]) ).
thf(zip_derived_cl1591,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ X0 @ xq )
| ( xq = X0 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ xq ) @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1548,zip_derived_cl1439]) ).
thf(zip_derived_cl1592,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ xq ) @ ( sdtasdt0 @ X1 @ X0 ) )
| ( xq = X0 )
| ( sdtlseqdt0 @ X0 @ xq )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1591]) ).
thf(zip_derived_cl109378,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xq ) @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ( sdtlseqdt0 @ xp @ xq )
| ( xq = xp )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl881,zip_derived_cl1592]) ).
thf(zip_derived_cl63_024,plain,
( xp
= ( sdtsldt0 @ xm @ xl ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl52_025,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_cl593,plain,
! [X0: $i] :
( ( X0 != xp )
| ~ ( doDivides0 @ xl @ xm )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl52]) ).
thf(zip_derived_cl61_026,plain,
doDivides0 @ xl @ xm,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl58_027,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl59_028,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl597,plain,
! [X0: $i] :
( ( X0 != xp )
| ( aNaturalNumber0 @ X0 )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl61,zip_derived_cl58,zip_derived_cl59]) ).
thf(zip_derived_cl62_029,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl598,plain,
! [X0: $i] :
( ( X0 != xp )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl597,zip_derived_cl62]) ).
thf(zip_derived_cl665,plain,
aNaturalNumber0 @ xp,
inference(eq_res,[status(thm)],[zip_derived_cl598]) ).
thf(zip_derived_cl66_030,plain,
~ ( sdtlseqdt0 @ xp @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_031,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl109538,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xq ) @ xm )
| ( xq = xp )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl109378,zip_derived_cl665,zip_derived_cl66,zip_derived_cl59]) ).
thf(zip_derived_cl62_032,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl109539,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ xq ) @ xm )
| ( xq = xp ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl109538,zip_derived_cl62]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl109644,plain,
( ( xq = xp )
| ~ ( sdtlseqdt0 @ xm @ ( sdtasdt0 @ xl @ xq ) )
| ( xm
= ( sdtasdt0 @ xl @ xq ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ xq ) )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl109539,zip_derived_cl32]) ).
thf(zip_derived_cl6_033,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(m__1409,axiom,
sdtlseqdt0 @ xm @ ( sdtpldt0 @ xm @ xn ) ).
thf(zip_derived_cl65,plain,
sdtlseqdt0 @ xm @ ( sdtpldt0 @ xm @ xn ),
inference(cnf,[status(esa)],[m__1409]) ).
thf(zip_derived_cl223,plain,
( ( sdtlseqdt0 @ xm @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl65]) ).
thf(zip_derived_cl58_034,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57_035,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl277,plain,
sdtlseqdt0 @ xm @ ( sdtpldt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl36268_036,plain,
( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36267,zip_derived_cl62]) ).
thf(zip_derived_cl36394,plain,
sdtlseqdt0 @ xm @ ( sdtasdt0 @ xl @ xq ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl36268]) ).
thf(zip_derived_cl13423_037,plain,
aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl13406,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl36268_038,plain,
( ( sdtpldt0 @ xn @ xm )
= ( sdtasdt0 @ xl @ xq ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36267,zip_derived_cl62]) ).
thf(zip_derived_cl36409,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xl @ xq ),
inference(demod,[status(thm)],[zip_derived_cl13423,zip_derived_cl36268]) ).
thf(zip_derived_cl58_039,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl109668,plain,
( ( xq = xp )
| ( xm
= ( sdtasdt0 @ xl @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl109644,zip_derived_cl36394,zip_derived_cl36409,zip_derived_cl58]) ).
thf(zip_derived_cl826_040,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl825,zip_derived_cl62]) ).
thf(zip_derived_cl110018,plain,
( xm
= ( sdtasdt0 @ xl @ xq ) ),
inference(clc,[status(thm)],[zip_derived_cl109668,zip_derived_cl826]) ).
thf(zip_derived_cl63_041,plain,
( xp
= ( sdtsldt0 @ xm @ xl ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl110021,plain,
xq = xp,
inference(demod,[status(thm)],[zip_derived_cl36393,zip_derived_cl110018,zip_derived_cl63]) ).
thf(zip_derived_cl665_042,plain,
aNaturalNumber0 @ xp,
inference(eq_res,[status(thm)],[zip_derived_cl598]) ).
thf(zip_derived_cl35_043,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl667,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ( sdtlseqdt0 @ xp @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl35]) ).
thf(zip_derived_cl687,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( sdtlseqdt0 @ xp @ xp ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl667]) ).
thf(zip_derived_cl665_044,plain,
aNaturalNumber0 @ xp,
inference(eq_res,[status(thm)],[zip_derived_cl598]) ).
thf(zip_derived_cl688,plain,
sdtlseqdt0 @ xp @ xp,
inference(demod,[status(thm)],[zip_derived_cl687,zip_derived_cl665]) ).
thf(zip_derived_cl110483,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl110021,zip_derived_cl688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3ceTJVnVVr true
% 0.16/0.35 % Computer : n008.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 25 07:48:32 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 70.39/10.86 % Solved by fo/fo5.sh.
% 70.39/10.86 % done 8463 iterations in 10.099s
% 70.39/10.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 70.39/10.86 % SZS output start Refutation
% See solution above
% 70.39/10.86
% 70.39/10.86
% 70.39/10.86 % Terminating...
% 71.41/10.95 % Runner terminated.
% 71.41/10.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------