%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG049+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:35:52 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 93 ( 22 unt; 4 def)
% Number of atoms : 270 ( 63 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 302 ( 125 ~; 126 |; 33 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 67 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( aNaturalNumber0(szszuzczcdt0(X0))
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aNaturalNumber0(X1) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
fof(f39,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542_01) ).
fof(f40,axiom,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1568) ).
fof(f41,axiom,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
& sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1590) ).
fof(f42,conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f49,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(flattening,[],[f43]) ).
fof(f50,plain,
! [X0] :
( ( aNaturalNumber0(szszuzczcdt0(X0))
& szszuzczcdt0(X0) != sz00 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f58,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f59,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f58]) ).
fof(f83,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f84,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f83]) ).
fof(f88,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f89,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aVector0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f90,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aVector0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f91]) ).
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(f104,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( X1 = sziznziztdt0(X0)
| ~ aVector0(X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ( sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
& aNaturalNumber0(sK1(X0,X1)) ) )
& ( ( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) ) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f106]) ).
fof(f110,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f117,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f144,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f147,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f148,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aVector0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f150,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f151,plain,
! [X0,X1] :
( aVector0(X1)
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f155,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f158,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f160,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f39]) ).
fof(f161,plain,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(cnf_transformation,[],[f40]) ).
fof(f162,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(cnf_transformation,[],[f41]) ).
fof(f163,plain,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
inference(cnf_transformation,[],[f41]) ).
fof(f164,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f151]) ).
fof(f166,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f150]) ).
fof(f360,definition,
( spl2_10
<=> aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f362,plain,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| spl2_10 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f373,definition,
( spl2_13
<=> aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f374,plain,
( aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| spl2_13 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f397,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f398,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(duplicate_literal_removal,[],[f397]) ).
fof(f399,plain,
( sz00 = aDimensionOf0(xs)
| aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(resolution,[],[f166,f158]) ).
fof(f401,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
inference(forward_subsumption_resolution,[],[f399,f160]) ).
fof(f432,plain,
( ~ aVector0(sziznziztdt0(xs))
| spl2_13 ),
inference(resolution,[],[f398,f375]) ).
fof(f458,plain,
( sz00 = aDimensionOf0(xs)
| ~ aVector0(xs)
| spl2_13 ),
inference(resolution,[],[f432,f165]) ).
fof(f459,plain,
( ~ aVector0(xs)
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f458,f160]) ).
fof(f460,plain,
( $false
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f459,f158]) ).
fof(f461,plain,
spl2_13,
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f501,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(superposition,[],[f144,f161]) ).
fof(f504,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[],[f501,f164]) ).
fof(f510,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[],[f504,f163]) ).
fof(f511,plain,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[],[f510,f162]) ).
fof(f512,plain,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f511,f374]) ).
fof(f513,plain,
( ~ spl2_10
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f512,f373,f360]) ).
fof(f518,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(superposition,[],[f110,f401]) ).
fof(f520,definition,
( spl2_21
<=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
fof(f522,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| spl2_21 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f524,definition,
( spl2_22
<=> aNaturalNumber0(aDimensionOf0(xs)) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f526,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,plain,
( ~ spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f518,f524,f520]) ).
fof(f545,plain,
( ~ aVector0(sziznziztdt0(xs))
| spl2_21 ),
inference(resolution,[],[f522,f147]) ).
fof(f553,plain,
( sz00 = aDimensionOf0(xs)
| ~ aVector0(xs)
| spl2_21 ),
inference(resolution,[],[f545,f165]) ).
fof(f554,plain,
( ~ aVector0(xs)
| spl2_21 ),
inference(forward_subsumption_resolution,[],[f553,f160]) ).
fof(f555,plain,
( $false
| spl2_21 ),
inference(forward_subsumption_resolution,[],[f554,f158]) ).
fof(f556,plain,
spl2_21,
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f772,plain,
( ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs)))
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs)))
| spl2_10 ),
inference(resolution,[],[f362,f117]) ).
fof(f773,plain,
( ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs)))
| spl2_10 ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f774,plain,
( ~ aVector0(xs)
| ~ aNaturalNumber0(aDimensionOf0(xs))
| spl2_10 ),
inference(resolution,[],[f773,f148]) ).
fof(f775,plain,
( ~ aNaturalNumber0(aDimensionOf0(xs))
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f774,f158]) ).
fof(f776,plain,
( $false
| spl2_10
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f775,f526]) ).
fof(f777,plain,
( spl2_10
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f776]) ).
cnf(s17,plain,
spl2_13,
inference(sat_conversion,[],[f461]) ).
cnf(s19,plain,
( ~ spl2_10
| ~ spl2_13 ),
inference(sat_conversion,[],[f513]) ).
cnf(s20,plain,
( ~ spl2_21
| spl2_22 ),
inference(sat_conversion,[],[f527]) ).
cnf(s24,plain,
spl2_21,
inference(sat_conversion,[],[f556]) ).
cnf(s43,plain,
( spl2_10
| ~ spl2_22 ),
inference(sat_conversion,[],[f777]) ).
cnf(s52,plain,
spl2_22,
inference(rat,[],[s20,s24]) ).
cnf(s53,plain,
spl2_10,
inference(rat,[],[s43,s52]) ).
cnf(s54,plain,
~ spl2_13,
inference(rat,[],[s19,s53]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s17,s54]) ).
fof(f778,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG049+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:04:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % (1030234)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (1030247)dis+10_1_sil=32000:sp=arity:random_seed=2404476091:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (1030245)% WARNING: option uhcvi not known.
% 0.16/0.46 % (1030244)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=976987307_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (1030245)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=823853446:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (1030246)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2650743746:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (1030248)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3624443878:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (1030249)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=11773293:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (1030250)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2230131640:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (1030247) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1030234-1030247"...
% 0.16/0.46 % (1030247)...printing done.
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % (1030247)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (1030247)------------------------------
% 0.16/0.47 % (1030247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (1030247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (1030247)CaDiCaL version: 2.1.3
% 0.16/0.47 % (1030247)Termination reason: Refutation
% 0.16/0.47 % (1030247)Time elapsed: 0.010 s
% 0.16/0.47 % (1030247)Peak memory usage: 13 MB
% 0.16/0.47 % (1030247)Instructions burned: 25 (million)
% 0.16/0.47 % (1030234)Success in time 0.051 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------