%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG052+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h7wRhSGRjr true
% Computer : n016.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 Oct 2 04:50:20 PM UTC 2025
% Result : Theorem 6.02s 1.50s
% Output : Refutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 123 ( 46 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 393 ( 57 ~; 39 |; 11 &; 269 @)
% ( 0 <=>; 9 =>; 8 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(sziznziztdt0_type,type,
sziznziztdt0: $i > $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(aVector0_type,type,
aVector0: $i > $o ).
thf(xD_type,type,
xD: $i ).
thf(xp_type,type,
xp: $i ).
thf(xs_type,type,
xs: $i ).
thf(xC_type,type,
xC: $i ).
thf(xE_type,type,
xE: $i ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(xt_type,type,
xt: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xq_type,type,
xq: $i ).
thf(sdtasasdt0_type,type,
sdtasasdt0: $i > $i > $i ).
thf(mDimNat,axiom,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( aNaturalNumber0 @ ( aDimensionOf0 @ W0 ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDimNat]) ).
thf(m__1709,axiom,
( ( xp
= ( sziznziztdt0 @ xs ) )
& ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( sdtlbdtrb0 @ xp @ W0 )
= ( sdtlbdtrb0 @ xs @ W0 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
= ( aDimensionOf0 @ xs ) )
& ( aVector0 @ xp ) ) ).
thf(zip_derived_cl62,plain,
( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
= ( aDimensionOf0 @ xs ) ),
inference(cnf,[status(esa)],[m__1709]) ).
thf(mIH,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( iLess0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mIH]) ).
thf(zip_derived_cl126,plain,
( ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl8]) ).
thf(m__1820,axiom,
( ( xE
= ( sdtasasdt0 @ xp @ xq ) )
& ( aScalar0 @ xE ) ) ).
thf(zip_derived_cl77,plain,
( xE
= ( sdtasasdt0 @ xp @ xq ) ),
inference(cnf,[status(esa)],[m__1820]) ).
thf(m__1652,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aVector0 @ W1 ) )
=> ( ( ( aDimensionOf0 @ W0 )
= ( aDimensionOf0 @ W1 ) )
=> ( ( iLess0 @ ( aDimensionOf0 @ W0 ) @ ( aDimensionOf0 @ xs ) )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ W0 @ W1 ) @ ( sdtasasdt0 @ W0 @ W1 ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ W0 @ W0 ) @ ( sdtasasdt0 @ W1 @ W1 ) ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( iLess0 @ ( aDimensionOf0 @ X0 ) @ ( aDimensionOf0 @ xs ) )
| ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X1 ) @ ( sdtasasdt0 @ X0 @ X1 ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X0 ) @ ( sdtasasdt0 @ X1 @ X1 ) ) )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) ) ),
inference(cnf,[status(esa)],[m__1652]) ).
thf(zip_derived_cl2362,plain,
( ~ ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) )
| ~ ( aVector0 @ xp )
| ~ ( aVector0 @ xq )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xp @ xp ) @ ( sdtasasdt0 @ xq @ xq ) ) )
| ( ( aDimensionOf0 @ xp )
!= ( aDimensionOf0 @ xq ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl58]) ).
thf(zip_derived_cl61,plain,
aVector0 @ xp,
inference(cnf,[status(esa)],[m__1709]) ).
thf(m__1726,axiom,
( ( xq
= ( sziznziztdt0 @ xt ) )
& ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( sdtlbdtrb0 @ xq @ W0 )
= ( sdtlbdtrb0 @ xt @ W0 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ xq ) )
= ( aDimensionOf0 @ xt ) )
& ( aVector0 @ xq ) ) ).
thf(zip_derived_cl65,plain,
aVector0 @ xq,
inference(cnf,[status(esa)],[m__1726]) ).
thf(m__1783,axiom,
( ( xC
= ( sdtasasdt0 @ xp @ xp ) )
& ( aScalar0 @ xC ) ) ).
thf(zip_derived_cl73,plain,
( xC
= ( sdtasasdt0 @ xp @ xp ) ),
inference(cnf,[status(esa)],[m__1783]) ).
thf(m__1800,axiom,
( ( xD
= ( sdtasasdt0 @ xq @ xq ) )
& ( aScalar0 @ xD ) ) ).
thf(zip_derived_cl75,plain,
( xD
= ( sdtasasdt0 @ xq @ xq ) ),
inference(cnf,[status(esa)],[m__1800]) ).
thf(m__,conjecture,
sdtlseqdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xC @ xD ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xC @ xD ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl93,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xC @ xD ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2377,plain,
( ~ ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xp )
!= ( aDimensionOf0 @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2362,zip_derived_cl61,zip_derived_cl65,zip_derived_cl73,zip_derived_cl75,zip_derived_cl93]) ).
thf(zip_derived_cl2468,plain,
( ~ ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) )
<= ~ ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) ) ),
inference(split,[status(esa)],[zip_derived_cl2377]) ).
thf(zip_derived_cl44_001,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDimNat]) ).
thf(zip_derived_cl66,plain,
( ( szszuzczcdt0 @ ( aDimensionOf0 @ xq ) )
= ( aDimensionOf0 @ xt ) ),
inference(cnf,[status(esa)],[m__1726]) ).
thf(m__1678_01,axiom,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ) ).
thf(zip_derived_cl59,plain,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ),
inference(cnf,[status(esa)],[m__1678_01]) ).
thf(zip_derived_cl134,plain,
( ( szszuzczcdt0 @ ( aDimensionOf0 @ xq ) )
= ( aDimensionOf0 @ xs ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl59]) ).
thf(zip_derived_cl62_002,plain,
( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
= ( aDimensionOf0 @ xs ) ),
inference(cnf,[status(esa)],[m__1709]) ).
thf(mSuccEqu,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( szszuzczcdt0 @ W0 )
= ( szszuzczcdt0 @ W1 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ( ( szszuzczcdt0 @ X0 )
!= ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccEqu]) ).
thf(zip_derived_cl123,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ xp )
= X0 )
| ( ( aDimensionOf0 @ xs )
!= ( szszuzczcdt0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl6]) ).
thf(zip_derived_cl2939,plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ xs )
!= ( szszuzczcdt0 @ X0 ) )
| ( ( aDimensionOf0 @ xp )
= X0 ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ xs )
!= ( szszuzczcdt0 @ X0 ) )
| ( ( aDimensionOf0 @ xp )
= X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl2942,plain,
( ( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xq ) )
| ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xp )
= ( aDimensionOf0 @ xq ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ xs )
!= ( szszuzczcdt0 @ X0 ) )
| ( ( aDimensionOf0 @ xp )
= X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl2939]) ).
thf(zip_derived_cl2945,plain,
( ( ( ( aDimensionOf0 @ xp )
= ( aDimensionOf0 @ xq ) )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xq ) ) )
<= ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ xs )
!= ( szszuzczcdt0 @ X0 ) )
| ( ( aDimensionOf0 @ xp )
= X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2942]) ).
thf(zip_derived_cl44_003,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDimNat]) ).
thf(zip_derived_cl2940,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xp ) )
<= ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xp ) ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl2947,plain,
( ~ ( aVector0 @ xp )
<= ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2940]) ).
thf(zip_derived_cl61_004,plain,
aVector0 @ xp,
inference(cnf,[status(esa)],[m__1709]) ).
thf('0',plain,
aNaturalNumber0 @ ( aDimensionOf0 @ xp ),
inference(demod,[status(thm)],[zip_derived_cl2947,zip_derived_cl61]) ).
thf('1',plain,
( ! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ xs )
!= ( szszuzczcdt0 @ X0 ) )
| ( ( aDimensionOf0 @ xp )
= X0 ) )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xp ) ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf('2',plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ xs )
!= ( szszuzczcdt0 @ X0 ) )
| ( ( aDimensionOf0 @ xp )
= X0 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl2950,plain,
( ( ( aDimensionOf0 @ xp )
= ( aDimensionOf0 @ xq ) )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xq ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2945,'2']) ).
thf(zip_derived_cl2951,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xq ) )
<= ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xq ) ) ),
inference(split,[status(esa)],[zip_derived_cl2950]) ).
thf(zip_derived_cl2955,plain,
( ~ ( aVector0 @ xq )
<= ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xq ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2951]) ).
thf(zip_derived_cl65_005,plain,
aVector0 @ xq,
inference(cnf,[status(esa)],[m__1726]) ).
thf('3',plain,
aNaturalNumber0 @ ( aDimensionOf0 @ xq ),
inference(demod,[status(thm)],[zip_derived_cl2955,zip_derived_cl65]) ).
thf('4',plain,
( ( ( aDimensionOf0 @ xp )
= ( aDimensionOf0 @ xq ) )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xq ) ) ),
inference(split,[status(esa)],[zip_derived_cl2950]) ).
thf('5',plain,
( ~ ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xp )
!= ( aDimensionOf0 @ xq ) ) ),
inference(split,[status(esa)],[zip_derived_cl2377]) ).
thf('6',plain,
~ ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) ),
inference('sat_resolution*',[status(thm)],['3','4','5']) ).
thf(zip_derived_cl2959,plain,
~ ( iLess0 @ ( aDimensionOf0 @ xp ) @ ( aDimensionOf0 @ xs ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl2468,'6']) ).
thf(zip_derived_cl3074,plain,
~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xp ) ),
inference(clc,[status(thm)],[zip_derived_cl126,zip_derived_cl2959]) ).
thf(zip_derived_cl3076,plain,
~ ( aVector0 @ xp ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl3074]) ).
thf(zip_derived_cl61_006,plain,
aVector0 @ xp,
inference(cnf,[status(esa)],[m__1709]) ).
thf(zip_derived_cl3077,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3076,zip_derived_cl61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG052+2 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h7wRhSGRjr true
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 17:22:53 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.02/1.50 % Solved by fo/fo1_av.sh.
% 6.02/1.50 % done 335 iterations in 0.718s
% 6.02/1.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.02/1.50 % SZS output start Refutation
% See solution above
% 6.02/1.50
% 6.02/1.50
% 6.02/1.50 % Terminating...
% 6.02/1.59 % Runner terminated.
% 6.07/1.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------