%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG081+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 : Tue Sep 29 12:35:58 PM UTC 2026
% Result : Theorem 0.11s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 69 ( 15 unt; 3 def)
% Number of atoms : 283 ( 106 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 313 ( 99 ~; 89 |; 112 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 30 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& aDimensionOf0(X1) = sz00 )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,conjecture,
( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( aVector0(X0)
& X0 = sziznziztdt0(xs)
& ? [X1] :
( aVector0(X1)
& X1 = sziznziztdt0(xt)
& ? [X2] :
( aScalar0(X2)
& X2 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtasasdt0(X0,X0)
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X0,X1)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasdt0(X2,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X2,X3)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X4,X8)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X6,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X5)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X10,X12)
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( aVector0(X0)
& X0 = sziznziztdt0(xs)
& ? [X1] :
( aVector0(X1)
& X1 = sziznziztdt0(xt)
& ? [X2] :
( aScalar0(X2)
& X2 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtasasdt0(X0,X0)
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X0,X1)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasdt0(X2,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X2,X3)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X4,X8)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X6,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X5)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X10,X12)
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f58,plain,
! [X0] :
( ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f95,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f96,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f98,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f97]) ).
fof(f101,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f104,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( aVector0(X0)
& X0 = sziznziztdt0(xs)
& ? [X1] :
( aVector0(X1)
& X1 = sziznziztdt0(xt)
& ? [X2] :
( aScalar0(X2)
& X2 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtasasdt0(X0,X0)
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X0,X1)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasdt0(X2,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X2,X3)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X4,X8)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X6,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X5)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X10,X12)
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f112,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f58]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f153,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f155,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f156,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f157,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f159,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f160,plain,
( sz00 = aDimensionOf0(xs)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(cnf_transformation,[],[f104]) ).
fof(f192,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f104]) ).
fof(f197,plain,
~ aScalar0(sz0z00),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f203,plain,
! [X0] :
( aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f230,plain,
! [X0,X1] :
( ~ aVector0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aScalar0(sdtasasdt0(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f245,definition,
( spl16_1
<=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f246,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| spl16_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl16_2
<=> sz00 = aDimensionOf0(xs) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f251,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f160,f249,f245]) ).
fof(f408,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f192,f245]) ).
fof(f427,plain,
( sz00 = aDimensionOf0(xt)
| ~ spl16_2 ),
inference(forward_demodulation,[],[f159,f251]) ).
fof(f435,plain,
sz0z00 = sdtasdt0(sz0z00,sz0z00),
inference(resolution,[],[f203,f197]) ).
fof(f560,plain,
! [X0] :
( ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xs)
| ~ aScalar0(sdtasasdt0(xs,X0)) ),
inference(resolution,[],[f230,f157]) ).
fof(f562,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(xs,X0)) )
| ~ spl16_2 ),
inference(forward_demodulation,[],[f560,f251]) ).
fof(f590,plain,
( sz00 != sz00
| ~ aVector0(xs)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ spl16_2 ),
inference(superposition,[],[f562,f251]) ).
fof(f593,plain,
( ~ aVector0(xs)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ spl16_2 ),
inference(trivial_inequality_removal,[],[f590]) ).
fof(f595,plain,
( ~ aScalar0(sdtasasdt0(xs,xs))
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f593,f157]) ).
fof(f620,plain,
( sz0z00 = sdtasdt0(sdtasasdt0(xs,xs),sz0z00)
| ~ spl16_2 ),
inference(resolution,[],[f595,f203]) ).
fof(f682,plain,
( ! [X0] :
( sz00 != sz00
| ~ aVector0(X0)
| ~ aVector0(xt)
| sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xt) )
| ~ spl16_2 ),
inference(superposition,[],[f153,f427]) ).
fof(f683,plain,
( ! [X0] :
( ~ aVector0(X0)
| ~ aVector0(xt)
| sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xt) )
| ~ spl16_2 ),
inference(trivial_inequality_removal,[],[f682]) ).
fof(f685,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,xt) )
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f683,f156]) ).
fof(f774,definition,
( spl16_41
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl16_41])],[avatar_definition]) ).
fof(f997,plain,
( sz00 != sz00
| ~ aVector0(xs)
| sz0z00 = sdtasasdt0(xs,xt)
| ~ spl16_2 ),
inference(superposition,[],[f685,f251]) ).
fof(f998,plain,
( sz00 != sz00
| ~ aVector0(xt)
| sz0z00 = sdtasasdt0(xt,xt)
| ~ spl16_2 ),
inference(superposition,[],[f685,f427]) ).
fof(f999,plain,
( ~ aVector0(xt)
| sz0z00 = sdtasasdt0(xt,xt)
| ~ spl16_2 ),
inference(trivial_inequality_removal,[],[f998]) ).
fof(f1000,plain,
( ~ aVector0(xs)
| sz0z00 = sdtasasdt0(xs,xt)
| ~ spl16_2 ),
inference(trivial_inequality_removal,[],[f997]) ).
fof(f1001,plain,
( sz0z00 = sdtasasdt0(xt,xt)
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f999,f156]) ).
fof(f1002,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f1000,f157]) ).
fof(f1040,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aVector0(xt)
| ~ spl16_2 ),
inference(superposition,[],[f155,f1001]) ).
fof(f1045,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f1040,f156]) ).
fof(f1052,plain,
( spl16_41
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f1045,f249,f774]) ).
fof(f1057,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| spl16_1
| ~ spl16_2 ),
inference(superposition,[],[f246,f1002]) ).
fof(f1071,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sz0z00))
| spl16_1
| ~ spl16_2 ),
inference(forward_demodulation,[],[f1057,f1001]) ).
fof(f1074,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sz0z00)
| spl16_1
| ~ spl16_2 ),
inference(forward_demodulation,[],[f1071,f620]) ).
fof(f1077,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl16_1
| ~ spl16_2 ),
inference(forward_demodulation,[],[f1074,f435]) ).
fof(f1080,plain,
( ~ spl16_41
| spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f1077,f249,f245,f774]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f252]) ).
cnf(s33,plain,
~ spl16_1,
inference(sat_conversion,[],[f408]) ).
cnf(s44,plain,
( ~ spl16_2
| spl16_41 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s46,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_41 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s50,plain,
spl16_2,
inference(rat,[],[s1,s33]) ).
cnf(s51,plain,
~ spl16_41,
inference(rat,[],[s46,s33,s50]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s44,s51,s50]) ).
fof(f1085,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG081+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:08:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.47 % (2869154)Will run a generic schedule for satisfiability detection.
% 0.11/0.47 % (2869159)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=626566932_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.47 % (2869161)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1030048843:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.47 % (2869162)dis+10_1_sil=32000:sp=arity:random_seed=78892024:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.47 % (2869163)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1587461432:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.47 % (2869164)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3005682674:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.47 % (2869165)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3289567501:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.47 % (2869160)% WARNING: option uhcvi not known.
% 0.11/0.47 % (2869160)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=267921972:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.47 % TRYING [1]
% 0.11/0.47 % TRYING [2]
% 0.11/0.47 % (2869160) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2869154-2869160"...
% 0.11/0.47 % (2869160)...printing done.
% 0.11/0.47 % (2869160)Refutation found. Thanks to Tanya!
% 0.11/0.47 % SZS status Theorem for theBenchmark
% 0.11/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47 % (2869160)------------------------------
% 0.21/0.47 % (2869160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.47 % (2869160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.47 % (2869160)CaDiCaL version: 2.1.3
% 0.21/0.47 % (2869160)Termination reason: Refutation
% 0.21/0.47 % (2869160)Time elapsed: 0.014 s
% 0.21/0.47 % (2869160)Peak memory usage: 13 MB
% 0.21/0.47 % (2869160)Instructions burned: 38 (million)
% 0.21/0.47 % (2869154)Success in time 0.055 s
% 0.21/0.47 % Vampire exiting
%------------------------------------------------------------------------------