%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG048+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:35:16 PM UTC 2026
% Result : Theorem 10.96s 2.76s
% Output : Refutation 12.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 138 ( 20 unt; 10 def)
% Number of atoms : 428 ( 107 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 486 ( 196 ~; 212 |; 40 &)
% ( 13 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn 103 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
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/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aNaturalNumber0(X1) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
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(f36,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& aDimensionOf0(X1) != sz00 )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,conjecture,
! [X0] :
( aVector0(X0)
=> ( ! [X1] :
( aVector0(X1)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f38,negated_conjecture,
~ ! [X0] :
( aVector0(X0)
=> ( ! [X1] :
( aVector0(X1)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f49,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f53,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f52]) ).
fof(f66,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f77,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(f78,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,[],[f77]) ).
fof(f79,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f82,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f83,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aVector0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f84,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aVector0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f83]) ).
fof(f85,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(f86,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,[],[f85]) ).
fof(f89,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f90,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f92,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f94,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f96,plain,
? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) ),
inference(flattening,[],[f95]) ).
fof(f98,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,[],[f86]) ).
fof(f99,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,[],[f98]) ).
fof(f100,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,[],[f99]) ).
fof(f101,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))],[f100]) ).
fof(f102,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK2))
| ~ aVector0(X1) )
& aVector0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f96]) ).
fof(f109,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f110,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f132,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f139,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f142,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f143,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f145,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
! [X0,X1] :
( aVector0(X1)
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f150,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f151,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f152,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f153,plain,
aVector0(sK2),
inference(cnf_transformation,[],[f102]) ).
fof(f154,plain,
! [X1] :
( ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK2))
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f155,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)),
inference(cnf_transformation,[],[f102]) ).
fof(f156,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f157,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f145]) ).
fof(f181,plain,
! [X0] :
( sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f152]) ).
fof(f182,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f183,plain,
( sz00 = aDimensionOf0(sK2)
| sdtasasdt0(sK2,sK2) = sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
inference(resolution,[],[f182,f153]) ).
fof(f186,definition,
( spl3_5
<=> sdtasasdt0(sK2,sK2) = sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f187,plain,
( sdtasasdt0(sK2,sK2) = sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,definition,
( spl3_6
<=> sz00 = aDimensionOf0(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f190,plain,
( sz00 = aDimensionOf0(sK2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f183,f189,f186]) ).
fof(f192,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ spl3_5 ),
inference(superposition,[],[f139,f187]) ).
fof(f193,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f192,f155]) ).
fof(f195,definition,
( spl3_7
<=> aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f196,plain,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| spl3_7 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,definition,
( spl3_8
<=> aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f199,plain,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| spl3_8 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,definition,
( spl3_9
<=> sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f202,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| spl3_9 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl3_10
<=> sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f206,plain,
( ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f193,f186,f204,f201,f198,f195]) ).
fof(f209,plain,
! [X0,X1] :
( ~ aVector0(X1)
| aScalar0(sdtlbdtrb0(X0,aDimensionOf0(X1)))
| ~ aVector0(X0) ),
inference(resolution,[],[f143,f142]) ).
fof(f210,plain,
! [X0] :
( ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,aDimensionOf0(sK2))) ),
inference(resolution,[],[f209,f153]) ).
fof(f212,plain,
aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2))),
inference(resolution,[],[f210,f153]) ).
fof(f218,plain,
( sz00 = aDimensionOf0(sK2)
| aDimensionOf0(sK2) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) ),
inference(resolution,[],[f157,f153]) ).
fof(f221,definition,
( spl3_11
<=> aDimensionOf0(sK2) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f222,plain,
( aDimensionOf0(sK2) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2)))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f223,plain,
( spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f218,f189,f221]) ).
fof(f229,plain,
( ! [X0] :
( sz00 != sz00
| sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,sK2)
| ~ aVector0(X0)
| ~ aVector0(sK2) )
| ~ spl3_6 ),
inference(superposition,[],[f151,f190]) ).
fof(f232,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,sK2)
| ~ aVector0(X0)
| ~ aVector0(sK2) )
| ~ spl3_6 ),
inference(trivial_inequality_removal,[],[f229]) ).
fof(f234,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,sK2)
| ~ aVector0(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f232,f153]) ).
fof(f236,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(sK2,sK2)
| ~ aVector0(sK2)
| ~ spl3_6 ),
inference(superposition,[],[f234,f190]) ).
fof(f237,plain,
( sz0z00 = sdtasasdt0(sK2,sK2)
| ~ aVector0(sK2)
| ~ spl3_6 ),
inference(trivial_inequality_removal,[],[f236]) ).
fof(f238,plain,
( sz0z00 = sdtasasdt0(sK2,sK2)
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f237,f153]) ).
fof(f239,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ spl3_6 ),
inference(superposition,[],[f155,f238]) ).
fof(f246,plain,
( ~ aScalar0(sz0z00)
| ~ spl3_6 ),
inference(resolution,[],[f239,f132]) ).
fof(f250,plain,
( $false
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f246,f110]) ).
fof(f251,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f252,plain,
( iLess0(aDimensionOf0(sziznziztdt0(sK2)),aDimensionOf0(sK2))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK2)))
| ~ spl3_11 ),
inference(superposition,[],[f109,f222]) ).
fof(f254,definition,
( spl3_12
<=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f255,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK2)))
| spl3_12 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,definition,
( spl3_13
<=> iLess0(aDimensionOf0(sziznziztdt0(sK2)),aDimensionOf0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
fof(f258,plain,
( iLess0(aDimensionOf0(sziznziztdt0(sK2)),aDimensionOf0(sK2))
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( ~ spl3_12
| spl3_13
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f252,f221,f257,f254]) ).
fof(f261,plain,
( ~ aVector0(sziznziztdt0(sK2))
| spl3_12 ),
inference(resolution,[],[f255,f142]) ).
fof(f262,plain,
( sz00 = aDimensionOf0(sK2)
| ~ aVector0(sK2)
| spl3_12 ),
inference(resolution,[],[f261,f156]) ).
fof(f263,plain,
( sz00 = aDimensionOf0(sK2)
| spl3_12 ),
inference(forward_subsumption_resolution,[],[f262,f153]) ).
fof(f264,plain,
( spl3_6
| spl3_12 ),
inference(avatar_split_clause,[],[f263,f254,f189]) ).
fof(f265,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| ~ aVector0(sziznziztdt0(sK2))
| ~ spl3_13 ),
inference(resolution,[],[f258,f154]) ).
fof(f267,definition,
( spl3_14
<=> aVector0(sziznziztdt0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f268,plain,
( ~ aVector0(sziznziztdt0(sK2))
| spl3_14 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl3_14
| spl3_10
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f265,f257,f204,f267]) ).
fof(f271,plain,
( sz00 = aDimensionOf0(sK2)
| ~ aVector0(sK2)
| spl3_14 ),
inference(resolution,[],[f268,f156]) ).
fof(f272,plain,
( sz00 = aDimensionOf0(sK2)
| spl3_14 ),
inference(forward_subsumption_resolution,[],[f271,f153]) ).
fof(f273,plain,
( spl3_6
| spl3_14 ),
inference(avatar_split_clause,[],[f272,f267,f189]) ).
fof(f306,plain,
( $false
| spl3_7 ),
inference(unit_resulting_resolution,[],[f112,f212,f212,f196]) ).
fof(f310,plain,
spl3_7,
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f311,plain,
( aDimensionOf0(sziznziztdt0(sK2)) != aDimensionOf0(sziznziztdt0(sK2))
| ~ aVector0(sziznziztdt0(sK2))
| ~ aVector0(sziznziztdt0(sK2))
| spl3_8 ),
inference(resolution,[],[f199,f150]) ).
fof(f312,plain,
( aDimensionOf0(sziznziztdt0(sK2)) != aDimensionOf0(sziznziztdt0(sK2))
| ~ aVector0(sziznziztdt0(sK2))
| spl3_8 ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f313,plain,
( ~ aVector0(sziznziztdt0(sK2))
| spl3_8 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f314,plain,
( ~ spl3_14
| spl3_8 ),
inference(avatar_split_clause,[],[f313,f198,f267]) ).
fof(f317,plain,
( ~ aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)))
| spl3_9 ),
inference(resolution,[],[f202,f140]) ).
fof(f320,plain,
( $false
| spl3_9 ),
inference(forward_subsumption_resolution,[],[f317,f212]) ).
fof(f321,plain,
spl3_9,
inference(avatar_contradiction_clause,[],[f320]) ).
cnf(s4,plain,
( spl3_5
| spl3_6 ),
inference(sat_conversion,[],[f191]) ).
cnf(s5,plain,
( ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(sat_conversion,[],[f206]) ).
cnf(s6,plain,
( spl3_6
| spl3_11 ),
inference(sat_conversion,[],[f223]) ).
cnf(s10,plain,
~ spl3_6,
inference(sat_conversion,[],[f251]) ).
cnf(s11,plain,
( ~ spl3_11
| ~ spl3_12
| spl3_13 ),
inference(sat_conversion,[],[f259]) ).
cnf(s12,plain,
( spl3_6
| spl3_12 ),
inference(sat_conversion,[],[f264]) ).
cnf(s13,plain,
( spl3_10
| ~ spl3_13
| ~ spl3_14 ),
inference(sat_conversion,[],[f270]) ).
cnf(s14,plain,
( spl3_6
| spl3_14 ),
inference(sat_conversion,[],[f273]) ).
cnf(s17,plain,
spl3_7,
inference(sat_conversion,[],[f310]) ).
cnf(s18,plain,
( spl3_8
| ~ spl3_14 ),
inference(sat_conversion,[],[f314]) ).
cnf(s20,plain,
spl3_9,
inference(sat_conversion,[],[f321]) ).
cnf(s21,plain,
spl3_14,
inference(rat,[],[s14,s10]) ).
cnf(s22,plain,
spl3_12,
inference(rat,[],[s12,s10]) ).
cnf(s23,plain,
spl3_8,
inference(rat,[],[s18,s21]) ).
cnf(s24,plain,
spl3_11,
inference(rat,[],[s6,s10]) ).
cnf(s25,plain,
spl3_13,
inference(rat,[],[s11,s22,s24]) ).
cnf(s26,plain,
spl3_10,
inference(rat,[],[s13,s21,s25]) ).
cnf(s27,plain,
~ spl3_5,
inference(rat,[],[s5,s26,s20,s23,s17]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s4,s10,s27]) ).
fof(f323,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG048+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 23:02:45 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.96/2.76 % (2508599)Detected formulas, will run a generic FOF schedule.
% 10.96/2.76 % (2508619)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=230873585:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.96/2.76 % (2508618)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=478207181:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.96/2.76 % (2508615)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1909437347:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.96/2.76 % (2508617)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1926709514:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.96/2.76 % (2508616)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=769789403:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.96/2.76 % (2508614)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1154264160:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.96/2.76 % (2508617)Refutation not found, incomplete strategy
% 10.96/2.76 % (2508617)------------------------------
% 10.96/2.76 % (2508617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508617)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508617)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.76 % (2508617)Time elapsed: 0.003 s
% 10.96/2.76 % (2508617)Peak memory usage: 88 MB
% 10.96/2.76 % (2508617)Instructions burned: 1 (million)
% 10.96/2.76 % (2508620)dis-21_1_sil=8000:lcm=predicate:random_seed=1231596574:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.96/2.76 % (2508618)Instruction limit reached!
% 10.96/2.76 % (2508618)------------------------------
% 10.96/2.76 % (2508618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508618)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508618)Termination reason: Instruction limit
% 10.96/2.76 % (2508618)Termination phase: Saturation
% 10.96/2.76 % (2508618)Time elapsed: 0.066 s
% 10.96/2.76 % (2508618)Peak memory usage: 88 MB
% 10.96/2.76 % (2508618)Instructions burned: 121 (million)
% 10.96/2.76 % (2508619)Instruction limit reached!
% 10.96/2.76 % (2508619)------------------------------
% 10.96/2.76 % (2508619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508619)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508619)Termination reason: Instruction limit
% 10.96/2.76 % (2508619)Termination phase: Saturation
% 10.96/2.76 % (2508619)Time elapsed: 0.077 s
% 10.96/2.76 % (2508619)Peak memory usage: 90 MB
% 10.96/2.76 % (2508619)Instructions burned: 140 (million)
% 10.96/2.76 % (2508620)Instruction limit reached!
% 10.96/2.76 % (2508620)------------------------------
% 10.96/2.76 % (2508620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508620)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508620)Termination reason: Instruction limit
% 10.96/2.76 % (2508620)Termination phase: Saturation
% 10.96/2.76 % (2508620)Time elapsed: 0.096 s
% 10.96/2.76 % (2508620)Peak memory usage: 89 MB
% 10.96/2.76 % (2508620)Instructions burned: 130 (million)
% 10.96/2.76 % (2508629)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3968583482:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.96/2.76 % (2508629)Refutation not found, incomplete strategy
% 10.96/2.76 % (2508629)------------------------------
% 10.96/2.76 % (2508629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508629)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508629)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.76 % (2508629)Time elapsed: 0.005 s
% 10.96/2.76 % (2508629)Peak memory usage: 89 MB
% 10.96/2.76 % (2508629)Instructions burned: 7 (million)
% 10.96/2.76 % (2508628)lrs+10_1_sil=8000:sp=occurrence:random_seed=1579968657:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.96/2.76 % (2508630)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3464150582:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.96/2.76 % (2508617)------------------------------
% 10.96/2.76 % (2508617)------------------------------
% 10.96/2.76 % (2508629)------------------------------
% 10.96/2.76 % (2508629)------------------------------
% 10.96/2.76 % (2508628)Instruction limit reached!
% 10.96/2.76 % (2508628)------------------------------
% 10.96/2.76 % (2508628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508628)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508628)Termination reason: Instruction limit
% 10.96/2.76 % (2508628)Termination phase: Saturation
% 10.96/2.76 % (2508628)Time elapsed: 0.296 s
% 10.96/2.76 % (2508628)Peak memory usage: 93 MB
% 10.96/2.76 % (2508628)Instructions burned: 285 (million)
% 10.96/2.76 % (2508634)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3570814705:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 10.96/2.76 % (2508635)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2348325020:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.96/2.76 % (2508636)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1877003626:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.96/2.76 % (2508630)Instruction limit reached!
% 10.96/2.76 % (2508630)------------------------------
% 10.96/2.76 % (2508630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508630)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508630)Termination reason: Instruction limit
% 10.96/2.76 % (2508630)Termination phase: Saturation
% 10.96/2.76 % (2508630)Time elapsed: 0.335 s
% 10.96/2.76 % (2508630)Peak memory usage: 92 MB
% 10.96/2.76 % (2508630)Instructions burned: 325 (million)
% 10.96/2.76 % (2508634)Instruction limit reached!
% 10.96/2.76 % (2508634)------------------------------
% 10.96/2.76 % (2508634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508634)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508634)Termination reason: Instruction limit
% 10.96/2.76 % (2508634)Termination phase: Saturation
% 10.96/2.76 % (2508634)Time elapsed: 0.151 s
% 10.96/2.76 % (2508634)Peak memory usage: 95 MB
% 10.96/2.76 % (2508634)Instructions burned: 248 (million)
% 10.96/2.76 % (2508635)Instruction limit reached!
% 10.96/2.76 % (2508635)------------------------------
% 10.96/2.76 % (2508635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508635)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508635)Termination reason: Instruction limit
% 10.96/2.76 % (2508635)Termination phase: Saturation
% 10.96/2.76 % (2508635)Time elapsed: 0.210 s
% 10.96/2.76 % (2508635)Peak memory usage: 89 MB
% 10.96/2.76 % (2508635)Instructions burned: 294 (million)
% 10.96/2.76 % (2508640)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4003704513:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 10.96/2.76 % (2508641)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=512282750:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 10.96/2.76 % (2508615)First to succeed.
% 10.96/2.76 % (2508615)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2508599"
% 10.96/2.76 % (2508640)Instruction limit reached!
% 10.96/2.76 % (2508640)------------------------------
% 10.96/2.76 % (2508640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508640)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508640)Termination reason: Instruction limit
% 10.96/2.76 % (2508640)Termination phase: Saturation
% 10.96/2.76 % (2508640)Time elapsed: 0.122 s
% 10.96/2.76 % (2508642)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3141652271:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 10.96/2.76 % (2508640)Peak memory usage: 91 MB
% 10.96/2.76 % (2508640)Instructions burned: 113 (million)
% 10.96/2.76 % (2508641)Instruction limit reached!
% 10.96/2.76 % (2508641)------------------------------
% 10.96/2.76 % (2508641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508641)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508641)Termination reason: Instruction limit
% 10.96/2.76 % (2508641)Termination phase: Saturation
% 10.96/2.76 % (2508641)Time elapsed: 0.111 s
% 10.96/2.76 % (2508641)Peak memory usage: 89 MB
% 10.96/2.76 % (2508641)Instructions burned: 127 (million)
% 10.96/2.76 % (2508616)Also succeeded, but the first one will report.
% 10.96/2.76 % (2508614)Also succeeded, but the first one will report.
% 10.96/2.76 % (2508642)Instruction limit reached!
% 10.96/2.76 % (2508642)------------------------------
% 10.96/2.76 % (2508642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76 % (2508642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76 % (2508642)CaDiCaL version: 2.1.3
% 10.96/2.76 % (2508642)Termination reason: Instruction limit
% 10.96/2.76 % (2508642)Termination phase: Saturation
% 10.96/2.76 % (2508642)Time elapsed: 0.114 s
% 10.96/2.76 % (2508642)Peak memory usage: 89 MB
% 10.96/2.76 % (2508642)Instructions burned: 115 (million)
% 10.96/2.76 % (2508636)Also succeeded, but the first one will report.
% 10.96/2.76 % (2508649)lrs+10_1_sil=8000:sp=occurrence:random_seed=3522409168:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 10.96/2.76 % (2508650)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2022946269:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.96/2.76 % (2508652)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1831808392:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 10.96/2.76 % (2508615)Refutation found. Thanks to Tanya!
% 10.96/2.76 % SZS status Theorem for theBenchmark
% 10.96/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 12.34/3.01 % (2508615)------------------------------
% 12.34/3.01 % (2508615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/3.01 % (2508615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/3.01 % (2508615)CaDiCaL version: 2.1.3
% 12.34/3.01 % (2508615)Termination reason: Refutation
% 12.34/3.01 % (2508615)Time elapsed: 1.036 s
% 12.34/3.01 % (2508615)Peak memory usage: 130 MB
% 12.34/3.01 % (2508615)Instructions burned: 958 (million)
% 12.34/3.01 % (2508615)------------------------------
% 12.34/3.01 % (2508615)------------------------------
% 12.34/3.01 % (2508599)Success in time 1.64 s
% 12.34/3.01 % Vampire exiting
%------------------------------------------------------------------------------