%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:26:34 AM UTC 2026
% Result : Theorem 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 80 ( 31 unt; 0 def)
% Number of atoms : 147 ( 114 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 91 ( 24 ~; 52 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSPN,axiom,
! [W0,W1] :
( ( aVector0(W1)
& aVector0(W0) )
=> ( ( aDimensionOf0(W1) != sz00
& aDimensionOf0(W0) = aDimensionOf0(W1) )
=> sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ),
file('theBenchmark.p',mDefSPN) ).
fof(m__1678,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('theBenchmark.p',m__1678) ).
fof(m__1709,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('theBenchmark.p',m__1709) ).
fof(m__1726,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('theBenchmark.p',m__1726) ).
fof(m__1746,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('theBenchmark.p',m__1746) ).
fof(m__1766,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('theBenchmark.p',m__1766) ).
fof(m__1783,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('theBenchmark.p',m__1783) ).
fof(m__1800,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('theBenchmark.p',m__1800) ).
fof(m__1820,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('theBenchmark.p',m__1820) ).
fof(m__1837,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('theBenchmark.p',m__1837) ).
fof(m__1854,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('theBenchmark.p',m__1854) ).
fof(m__1873,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('theBenchmark.p',m__1873) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_105,plain,
( sdtasasdt0(A,B) = sdtpldt0(sdtasasdt0(sziznziztdt0(A),sziznziztdt0(B)),sdtasdt0(sdtlbdtrb0(A,aDimensionOf0(A)),sdtlbdtrb0(B,aDimensionOf0(B))))
| aDimensionOf0(B) = sz00
| aDimensionOf0(B) != aDimensionOf0(A)
| ~ aVector0(B)
| ~ aVector0(A) ),
inference(clausify,[status(thm)],[mDefSPN]) ).
cnf(c_106,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(A),sziznziztdt0(B)),sdtasdt0(sdtlbdtrb0(A,aDimensionOf0(A)),sdtlbdtrb0(B,aDimensionOf0(B)))) = sdtasasdt0(A,B)
| aDimensionOf0(B) = sz00
| aDimensionOf0(B) != aDimensionOf0(A)
| ~ aVector0(B)
| ~ aVector0(A) ),
inference(copy,[status(thm)],[c_105]) ).
cnf(c_108,plain,
aVector0(xs),
inference(clausify,[status(thm)],[m__1678]) ).
cnf(c_109,plain,
aVector0(xt),
inference(clausify,[status(thm)],[m__1678]) ).
fof(m__1678_01,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('theBenchmark.p',m__1678_01) ).
cnf(c_111,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(clausify,[status(thm)],[m__1678_01]) ).
cnf(c_112,plain,
aDimensionOf0(xt) = aDimensionOf0(xs),
inference(copy,[status(thm)],[c_111]) ).
fof(m__1692,axiom,
aDimensionOf0(xs) != sz00,
file('theBenchmark.p',m__1692) ).
cnf(c_113,plain,
aDimensionOf0(xs) != sz00,
inference(clausify,[status(thm)],[m__1692]) ).
cnf(c_115,plain,
sziznziztdt0(xs) = xp,
inference(clausify,[status(thm)],[m__1709]) ).
cnf(c_117,plain,
sziznziztdt0(xt) = xq,
inference(clausify,[status(thm)],[m__1726]) ).
cnf(c_119,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
inference(clausify,[status(thm)],[m__1746]) ).
cnf(c_121,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
inference(clausify,[status(thm)],[m__1766]) ).
cnf(c_122,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(paramod,[status(thm)],[c_112,c_121]) ).
cnf(c_124,plain,
sdtasasdt0(xp,xp) = xC,
inference(clausify,[status(thm)],[m__1783]) ).
cnf(c_126,plain,
sdtasasdt0(xq,xq) = xD,
inference(clausify,[status(thm)],[m__1800]) ).
cnf(c_128,plain,
sdtasasdt0(xp,xq) = xE,
inference(clausify,[status(thm)],[m__1820]) ).
cnf(c_130,plain,
sdtasdt0(xA,xA) = xF,
inference(clausify,[status(thm)],[m__1837]) ).
cnf(c_132,plain,
sdtasdt0(xB,xB) = xG,
inference(clausify,[status(thm)],[m__1854]) ).
cnf(c_134,plain,
sdtasdt0(xA,xB) = xH,
inference(clausify,[status(thm)],[m__1873]) ).
fof(m__2733,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('theBenchmark.p',m__2733) ).
cnf(c_145,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(clausify,[status(thm)],[m__2733]) ).
cnf(c_146,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_355,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(A)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(A,aDimensionOf0(A)))) = sdtasasdt0(xs,A)
| aDimensionOf0(A) = sz00
| aDimensionOf0(A) != aDimensionOf0(xs)
| ~ aVector0(A) ),
inference(resolve,[status(thm)],[c_106,c_108]) ).
cnf(c_356,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00
| aDimensionOf0(xs) != aDimensionOf0(xs) ),
inference(resolve,[status(thm)],[c_355,c_108]) ).
cnf(c_357,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(xxres,[status(thm)],[c_356]) ).
cnf(c_358,plain,
( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_115,c_357]) ).
cnf(c_359,plain,
( sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_115,c_358]) ).
cnf(c_360,plain,
( sdtpldt0(xC,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_124,c_359]) ).
cnf(c_361,plain,
( sdtpldt0(xC,sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_119,c_360]) ).
cnf(c_362,plain,
( sdtpldt0(xC,sdtasdt0(xA,xA)) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_119,c_361]) ).
cnf(c_363,plain,
( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_130,c_362]) ).
cnf(c_364,plain,
( sdtasasdt0(xs,xs) = sdtpldt0(xC,xF)
| aDimensionOf0(xs) = sz00 ),
inference(copy,[status(thm)],[c_363]) ).
cnf(c_321,plain,
sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
inference(resolve,[status(thm)],[c_113,c_364]) ).
cnf(c_327,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtasasdt0(xt,xt))),
inference(paramod,[status(thm)],[c_321,c_146]) ).
cnf(c_365,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(A)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(A,aDimensionOf0(A)))) = sdtasasdt0(xt,A)
| aDimensionOf0(A) = sz00
| aDimensionOf0(A) != aDimensionOf0(xt)
| ~ aVector0(A) ),
inference(resolve,[status(thm)],[c_106,c_109]) ).
cnf(c_366,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xt) = sz00
| aDimensionOf0(xt) != aDimensionOf0(xt) ),
inference(resolve,[status(thm)],[c_365,c_109]) ).
cnf(c_367,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xt) = sz00 ),
inference(xxres,[status(thm)],[c_366]) ).
cnf(c_368,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_112,c_367]) ).
cnf(c_369,plain,
( sdtpldt0(sdtasasdt0(xq,sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_117,c_368]) ).
cnf(c_370,plain,
( sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_117,c_369]) ).
cnf(c_371,plain,
( sdtpldt0(xD,sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_126,c_370]) ).
cnf(c_372,plain,
( sdtpldt0(xD,sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_112,c_371]) ).
cnf(c_373,plain,
( sdtpldt0(xD,sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_122,c_372]) ).
cnf(c_374,plain,
( sdtpldt0(xD,sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xs)))) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_112,c_373]) ).
cnf(c_375,plain,
( sdtpldt0(xD,sdtasdt0(xB,xB)) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_122,c_374]) ).
cnf(c_376,plain,
( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_132,c_375]) ).
cnf(c_377,plain,
( sdtasasdt0(xt,xt) = sdtpldt0(xD,xG)
| aDimensionOf0(xs) = sz00 ),
inference(copy,[status(thm)],[c_376]) ).
cnf(c_341,plain,
sdtasasdt0(xt,xt) = sdtpldt0(xD,xG),
inference(resolve,[status(thm)],[c_113,c_377]) ).
cnf(c_347,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(paramod,[status(thm)],[c_341,c_327]) ).
cnf(c_378,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(A)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(A,aDimensionOf0(A)))) = sdtasasdt0(xs,A)
| aDimensionOf0(A) = sz00
| aDimensionOf0(A) != aDimensionOf0(xs)
| ~ aVector0(A) ),
inference(resolve,[status(thm)],[c_106,c_108]) ).
cnf(c_379,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xt) = sz00
| aDimensionOf0(xt) != aDimensionOf0(xs) ),
inference(resolve,[status(thm)],[c_378,c_109]) ).
cnf(c_380,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xt) = sz00 ),
inference(resolve,[status(thm)],[c_379,c_112]) ).
cnf(c_381,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_112,c_380]) ).
cnf(c_382,plain,
( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_115,c_381]) ).
cnf(c_383,plain,
( sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_117,c_382]) ).
cnf(c_384,plain,
( sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_128,c_383]) ).
cnf(c_385,plain,
( sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_119,c_384]) ).
cnf(c_386,plain,
( sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_112,c_385]) ).
cnf(c_387,plain,
( sdtpldt0(xE,sdtasdt0(xA,xB)) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_122,c_386]) ).
cnf(c_388,plain,
( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(paramod,[status(thm)],[c_134,c_387]) ).
cnf(c_389,plain,
( sdtasasdt0(xs,xt) = sdtpldt0(xE,xH)
| aDimensionOf0(xs) = sz00 ),
inference(copy,[status(thm)],[c_388]) ).
cnf(c_348,plain,
sdtasasdt0(xs,xt) = sdtpldt0(xE,xH),
inference(resolve,[status(thm)],[c_113,c_389]) ).
cnf(c_390,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(paramod,[status(thm)],[c_348,c_347]) ).
cnf(c_391,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(paramod,[status(thm)],[c_348,c_390]) ).
cnf(c_354,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_145,c_391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 06:00:02 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2340157 was started by sandbox2 on n014,
% 0.08/0.35 % Sat Sep 26 06:00:02 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.37
% 0.12/0.37 % From the command line: assign(max_seconds, 300).
% 0.12/0.43
% 0.12/0.43 % SZS status Theorem for theBenchmark
% 0.12/0.43
% 0.12/0.43 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.12/0.43 % Length of proof is 39.
% 0.12/0.43 % Level of proof is 6.
% 0.12/0.43 % Maximum clause weight is 57.000.
% 0.12/0.43 % Given clauses 53.
% 0.12/0.43
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
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