%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG049+1 : 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.qpsqbvpHkq true
% Computer : n012.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 04:50:19 PM UTC 2025
% Result : Theorem 0.53s 0.85s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 16 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 379 ( 47 ~; 35 |; 9 &; 277 @)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% 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(sz00_type,type,
sz00: $i ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(xs_type,type,
xs: $i ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $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(mElmSc,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aScalar0 @ ( sdtlbdtrb0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aScalar0 @ ( sdtlbdtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mElmSc]) ).
thf(mMulSc,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(mScPr,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aVector0 @ W1 ) )
=> ( ( ( aDimensionOf0 @ W0 )
= ( aDimensionOf0 @ W1 ) )
=> ( aScalar0 @ ( sdtasasdt0 @ W0 @ W1 ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( aScalar0 @ ( sdtasasdt0 @ X0 @ X1 ) )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mScPr]) ).
thf(m__1568,axiom,
( ( sdtasasdt0 @ xs @ xs )
= ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
( ( sdtasasdt0 @ xs @ xs )
= ( sdtpldt0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ),
inference(cnf,[status(esa)],[m__1568]) ).
thf(mPosMon,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 ) )
=> ( ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ W0 @ W1 ) )
& ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mPosMon]) ).
thf(zip_derived_cl752,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) )
| ~ ( aScalar0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl58,zip_derived_cl40]) ).
thf(m__,conjecture,
sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl61,plain,
~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1590,axiom,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) )
& ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) ) ) ).
thf(zip_derived_cl59,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ),
inference(cnf,[status(esa)],[m__1590]) ).
thf(zip_derived_cl60,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ),
inference(cnf,[status(esa)],[m__1590]) ).
thf(zip_derived_cl764,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) )
| ~ ( aScalar0 @ ( sdtasasdt0 @ ( sziznziztdt0 @ xs ) @ ( sziznziztdt0 @ xs ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl61,zip_derived_cl59,zip_derived_cl60]) ).
thf(zip_derived_cl853,plain,
( ( ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) )
!= ( aDimensionOf0 @ ( sziznziztdt0 @ xs ) ) )
| ~ ( aVector0 @ ( sziznziztdt0 @ xs ) )
| ~ ( aVector0 @ ( sziznziztdt0 @ xs ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl764]) ).
thf(zip_derived_cl855,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) )
| ~ ( aVector0 @ ( sziznziztdt0 @ xs ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl853]) ).
thf(zip_derived_cl860,plain,
( ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
| ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
| ~ ( aVector0 @ ( sziznziztdt0 @ xs ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl855]) ).
thf(zip_derived_cl863,plain,
( ~ ( aVector0 @ ( sziznziztdt0 @ xs ) )
| ~ ( aScalar0 @ ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl860]) ).
thf(zip_derived_cl868,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) )
| ~ ( aVector0 @ xs )
| ~ ( aVector0 @ ( sziznziztdt0 @ xs ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl863]) ).
thf(m__1542,axiom,
aVector0 @ xs ).
thf(zip_derived_cl55,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1542]) ).
thf(zip_derived_cl869,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) )
| ~ ( aVector0 @ ( sziznziztdt0 @ xs ) ) ),
inference(demod,[status(thm)],[zip_derived_cl868,zip_derived_cl55]) ).
thf(mDefInit,axiom,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( ( ( aDimensionOf0 @ W0 )
!= sz00 )
=> ! [W1: $i] :
( ( W1
= ( sziznziztdt0 @ W0 ) )
<=> ( ( aVector0 @ W1 )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W1 ) )
= ( aDimensionOf0 @ W0 ) )
& ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtlbdtrb0 @ W1 @ W2 )
= ( sdtlbdtrb0 @ W0 @ W2 ) ) ) ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( X1
!= ( sziznziztdt0 @ X0 ) )
| ( aVector0 @ X1 )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefInit]) ).
thf(zip_derived_cl405,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( aVector0 @ ( sziznziztdt0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl1327,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xs )
= sz00 )
| ~ ( aVector0 @ xs ) ),
inference('sup+',[status(thm)],[zip_derived_cl869,zip_derived_cl405]) ).
thf(zip_derived_cl55_001,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1542]) ).
thf(zip_derived_cl1328,plain,
( ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xs )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1327,zip_derived_cl55]) ).
thf(m__1542_01,axiom,
( ( aDimensionOf0 @ xs )
!= sz00 ) ).
thf(zip_derived_cl57,plain,
( ( aDimensionOf0 @ xs )
!= sz00 ),
inference(cnf,[status(esa)],[m__1542_01]) ).
thf(zip_derived_cl1329,plain,
~ ( aNaturalNumber0 @ ( aDimensionOf0 @ xs ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1328,zip_derived_cl57]) ).
thf(zip_derived_cl1333,plain,
~ ( aVector0 @ xs ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl1329]) ).
thf(zip_derived_cl55_002,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1542]) ).
thf(zip_derived_cl1334,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1333,zip_derived_cl55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG049+1 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qpsqbvpHkq true
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Wed Oct 1 17:22:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.50/0.62 % Total configuration time : 435
% 0.50/0.62 % Estimated wc time : 1092
% 0.50/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.85 % Solved by fo/fo3_bce.sh.
% 0.53/0.85 % BCE start: 62
% 0.53/0.85 % BCE eliminated: 0
% 0.53/0.85 % PE start: 62
% 0.53/0.85 logic: eq
% 0.53/0.85 % PE eliminated: 1
% 0.53/0.85 % done 151 iterations in 0.125s
% 0.53/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.85 % SZS output start Refutation
% See solution above
% 0.53/0.85
% 0.53/0.85
% 0.53/0.85 % Terminating...
% 1.90/0.93 % Runner terminated.
% 1.90/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------