%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG081+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:35:26 PM UTC 2026
% Result : Theorem 3.56s 1.30s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 18 unt; 5 def)
% Number of atoms : 559 ( 195 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 616 ( 153 ~; 159 |; 284 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 25 ( 25 usr; 5 con; 0-8 aty)
% Number of variables : 306 ( 210 !; 96 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
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(f35,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& aDimensionOf0(X1) = sz00 )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,conjecture,
( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( aVector0(X0)
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& X0 = sziznziztdt0(xs)
& ? [X1] :
( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& 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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( aVector0(X0)
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& X0 = sziznziztdt0(xs)
& ? [X1] :
( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& 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(f43,plain,
~ ( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( aVector0(X0)
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& X0 = sziznziztdt0(xs)
& ? [X2] :
( aVector0(X2)
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& ! [X3] :
( aNaturalNumber0(X3)
=> sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& sziznziztdt0(xt) = X2
& ? [X4] :
( aScalar0(X4)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& ? [X5] :
( aScalar0(X5)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X0) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sdtasasdt0(X0,X2) = X8
& ? [X9] :
( aScalar0(X9)
& sdtasdt0(X4,X4) = X9
& ? [X10] :
( aScalar0(X10)
& sdtasdt0(X5,X5) = X10
& ? [X11] :
( aScalar0(X11)
& sdtasdt0(X4,X5) = X11
& ? [X12] :
( aScalar0(X12)
& sdtasdt0(X6,X10) = X12
& ? [X13] :
( aScalar0(X13)
& sdtasdt0(X8,X11) = X13
& ? [X14] :
( aScalar0(X14)
& sdtasdt0(X9,X7) = X14
& ? [X15] :
( aScalar0(X15)
& sdtasdt0(X12,X14) = X15
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& 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(rectify,[],[f42]) ).
fof(f51,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( aVector0(X0)
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& ! [X1] :
( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) )
& X0 = sziznziztdt0(xs)
& ? [X2] :
( aVector0(X2)
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& ! [X3] :
( sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3)
| ~ aNaturalNumber0(X3) )
& sziznziztdt0(xt) = X2
& ? [X4] :
( aScalar0(X4)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& ? [X5] :
( aScalar0(X5)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X0) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sdtasasdt0(X0,X2) = X8
& ? [X9] :
( aScalar0(X9)
& sdtasdt0(X4,X4) = X9
& ? [X10] :
( aScalar0(X10)
& sdtasdt0(X5,X5) = X10
& ? [X11] :
( aScalar0(X11)
& sdtasdt0(X4,X5) = X11
& ? [X12] :
( aScalar0(X12)
& sdtasdt0(X6,X10) = X12
& ? [X13] :
( aScalar0(X13)
& sdtasdt0(X8,X11) = X13
& ? [X14] :
( aScalar0(X14)
& sdtasdt0(X9,X7) = X14
& ? [X15] :
( aScalar0(X15)
& sdtasdt0(X12,X14) = X15
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f59,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f63,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f64,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f67,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f66]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f96]) ).
fof(f98,definition,
! [X7,X9,X12,X6,X8,X13,X10,X11] :
( ? [X14] :
( aScalar0(X14)
& sdtasdt0(X9,X7) = X14
& ? [X15] :
( aScalar0(X15)
& sdtasdt0(X12,X14) = X15
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
| ~ sP0(X7,X9,X12,X6,X8,X13,X10,X11) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f99,definition,
! [X5,X4,X10,X6,X8,X9,X7] :
( ? [X11] :
( aScalar0(X11)
& sdtasdt0(X4,X5) = X11
& ? [X12] :
( aScalar0(X12)
& sdtasdt0(X6,X10) = X12
& ? [X13] :
( aScalar0(X13)
& sdtasdt0(X8,X11) = X13
& sP0(X7,X9,X12,X6,X8,X13,X10,X11) ) ) )
| ~ sP1(X5,X4,X10,X6,X8,X9,X7) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f100,definition,
! [X2,X0,X4,X5,X7,X6] :
( ? [X8] :
( aScalar0(X8)
& sdtasasdt0(X0,X2) = X8
& ? [X9] :
( aScalar0(X9)
& sdtasdt0(X4,X4) = X9
& ? [X10] :
( aScalar0(X10)
& sdtasdt0(X5,X5) = X10
& sP1(X5,X4,X10,X6,X8,X9,X7) ) ) )
| ~ sP2(X2,X0,X4,X5,X7,X6) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f101,definition,
! [X0,X2,X4] :
( ? [X5] :
( aScalar0(X5)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X0) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasasdt0(X2,X2) = X7
& sP2(X2,X0,X4,X5,X7,X6) ) ) )
| ~ sP3(X0,X2,X4) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f102,definition,
! [X0] :
( ? [X2] :
( aVector0(X2)
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& ! [X3] :
( sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3)
| ~ aNaturalNumber0(X3) )
& sziznziztdt0(xt) = X2
& ? [X4] :
( aScalar0(X4)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& sP3(X0,X2,X4) ) )
| ~ sP4(X0) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f103,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( aVector0(X0)
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& ! [X1] :
( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) )
& X0 = sziznziztdt0(xs)
& sP4(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(definition_folding,[],[f51,f102,f101,f100,f99,f98]) ).
fof(f104,plain,
! [X0] :
( ? [X2] :
( aVector0(X2)
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& ! [X3] :
( sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3)
| ~ aNaturalNumber0(X3) )
& sziznziztdt0(xt) = X2
& ? [X4] :
( aScalar0(X4)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& sP3(X0,X2,X4) ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f105,plain,
! [X0] :
( ? [X1] :
( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2)
| ~ aNaturalNumber0(X2) )
& sziznziztdt0(xt) = X1
& ? [X3] :
( aScalar0(X3)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3
& sP3(X0,X1,X3) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ( aVector0(sK5(X0))
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK5(X0)))
& ! [X2] :
( sdtlbdtrb0(xt,X2) = sdtlbdtrb0(sK5(X0),X2)
| ~ aNaturalNumber0(X2) )
& sziznziztdt0(xt) = sK5(X0)
& aScalar0(sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK6(X0)
& sP3(X0,sK5(X0),sK6(X0)) )
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X3,sK6(X0))],[f105]) ).
fof(f107,plain,
! [X0,X2,X4] :
( ? [X5] :
( aScalar0(X5)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X0) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasasdt0(X2,X2) = X7
& sP2(X2,X0,X4,X5,X7,X6) ) ) )
| ~ sP3(X0,X2,X4) ),
inference(nnf_transformation,[],[f101]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ? [X3] :
( aScalar0(X3)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& ? [X4] :
( aScalar0(X4)
& sdtasasdt0(X0,X0) = X4
& ? [X5] :
( aScalar0(X5)
& sdtasasdt0(X1,X1) = X5
& sP2(X1,X0,X2,X3,X5,X4) ) ) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( aScalar0(sK7(X0,X1,X2))
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
& aScalar0(sK8(X0,X1,X2))
& sdtasasdt0(X0,X0) = sK8(X0,X1,X2)
& aScalar0(sK9(X0,X1,X2))
& sdtasasdt0(X1,X1) = sK9(X0,X1,X2)
& sP2(X1,X0,X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2)) )
| ~ sP3(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2)),skolemize(X5,sK9(X0,X1,X2))],[f108]) ).
fof(f110,plain,
! [X2,X0,X4,X5,X7,X6] :
( ? [X8] :
( aScalar0(X8)
& sdtasasdt0(X0,X2) = X8
& ? [X9] :
( aScalar0(X9)
& sdtasdt0(X4,X4) = X9
& ? [X10] :
( aScalar0(X10)
& sdtasdt0(X5,X5) = X10
& sP1(X5,X4,X10,X6,X8,X9,X7) ) ) )
| ~ sP2(X2,X0,X4,X5,X7,X6) ),
inference(nnf_transformation,[],[f100]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X1,X0) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& sdtasdt0(X3,X3) = X8
& sP1(X3,X2,X8,X5,X6,X7,X4) ) ) )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( aScalar0(sK10(X0,X1,X2,X3,X4,X5))
& sdtasasdt0(X1,X0) = sK10(X0,X1,X2,X3,X4,X5)
& aScalar0(sK11(X0,X1,X2,X3,X4,X5))
& sdtasdt0(X2,X2) = sK11(X0,X1,X2,X3,X4,X5)
& aScalar0(sK12(X0,X1,X2,X3,X4,X5))
& sdtasdt0(X3,X3) = sK12(X0,X1,X2,X3,X4,X5)
& sP1(X3,X2,sK12(X0,X1,X2,X3,X4,X5),X5,sK10(X0,X1,X2,X3,X4,X5),sK11(X0,X1,X2,X3,X4,X5),X4) )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X6,sK10(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK11(X0,X1,X2,X3,X4,X5)),skolemize(X8,sK12(X0,X1,X2,X3,X4,X5))],[f111]) ).
fof(f113,plain,
! [X5,X4,X10,X6,X8,X9,X7] :
( ? [X11] :
( aScalar0(X11)
& sdtasdt0(X4,X5) = X11
& ? [X12] :
( aScalar0(X12)
& sdtasdt0(X6,X10) = X12
& ? [X13] :
( aScalar0(X13)
& sdtasdt0(X8,X11) = X13
& sP0(X7,X9,X12,X6,X8,X13,X10,X11) ) ) )
| ~ sP1(X5,X4,X10,X6,X8,X9,X7) ),
inference(nnf_transformation,[],[f99]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( aScalar0(X7)
& sdtasdt0(X1,X0) = X7
& ? [X8] :
( aScalar0(X8)
& sdtasdt0(X3,X2) = X8
& ? [X9] :
( aScalar0(X9)
& sdtasdt0(X4,X7) = X9
& sP0(X6,X5,X8,X3,X4,X9,X2,X7) ) ) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X1,X0) = sK13(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X3,X2) = sK14(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6))
& sK15(X0,X1,X2,X3,X4,X5,X6) = sdtasdt0(X4,sK13(X0,X1,X2,X3,X4,X5,X6))
& sP0(X6,X5,sK14(X0,X1,X2,X3,X4,X5,X6),X3,X4,sK15(X0,X1,X2,X3,X4,X5,X6),X2,sK13(X0,X1,X2,X3,X4,X5,X6)) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X7,sK13(X0,X1,X2,X3,X4,X5,X6)),skolemize(X8,sK14(X0,X1,X2,X3,X4,X5,X6)),skolemize(X9,sK15(X0,X1,X2,X3,X4,X5,X6))],[f114]) ).
fof(f116,plain,
! [X7,X9,X12,X6,X8,X13,X10,X11] :
( ? [X14] :
( aScalar0(X14)
& sdtasdt0(X9,X7) = X14
& ? [X15] :
( aScalar0(X15)
& sdtasdt0(X12,X14) = X15
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
| ~ sP0(X7,X9,X12,X6,X8,X13,X10,X11) ),
inference(nnf_transformation,[],[f98]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( aScalar0(X8)
& sdtasdt0(X1,X0) = X8
& ? [X9] :
( aScalar0(X9)
& sdtasdt0(X2,X8) = X9
& sdtlseqdt0(sdtasdt0(X4,X4),sdtasdt0(X3,X0))
& sdtlseqdt0(sdtpldt0(X5,X5),sdtpldt0(X2,X8))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X4,X7)),sdtasdt0(sdtpldt0(X3,X1),sdtpldt0(X0,X6)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtasdt0(X1,X0) = sK16(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7))
& sK17(X0,X1,X2,X3,X4,X5,X6,X7) = sdtasdt0(X2,sK16(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtlseqdt0(sdtasdt0(X4,X4),sdtasdt0(X3,X0))
& sdtlseqdt0(sdtpldt0(X5,X5),sdtpldt0(X2,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X4,X7)),sdtasdt0(sdtpldt0(X3,X1),sdtpldt0(X0,X6)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X8,sK16(X0,X1,X2,X3,X4,X5,X6,X7)),skolemize(X9,sK17(X0,X1,X2,X3,X4,X5,X6,X7))],[f117]) ).
fof(f119,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ( aVector0(sK18)
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK18))
& ! [X1] :
( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK18,X1)
| ~ aNaturalNumber0(X1) )
& sziznziztdt0(xs) = sK18
& sP4(sK18) )
| sz00 = aDimensionOf0(xs) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f103]) ).
fof(f125,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f126,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f128,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f129,plain,
! [X0] :
( sP3(X0,sK5(X0),sK6(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f136,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP1(X3,X2,sK12(X0,X1,X2,X3,X4,X5),X5,sK10(X0,X1,X2,X3,X4,X5),sK11(X0,X1,X2,X3,X4,X5),X4)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f112]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP0(X6,X5,sK14(X0,X1,X2,X3,X4,X5,X6),X3,X4,sK15(X0,X1,X2,X3,X4,X5,X6),X2,sK13(X0,X1,X2,X3,X4,X5,X6))
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f115]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f118]) ).
fof(f165,plain,
( sz00 = aDimensionOf0(xs)
| sP4(sK18) ),
inference(cnf_transformation,[],[f119]) ).
fof(f170,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f119]) ).
fof(f175,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f178,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f179,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f180,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f97]) ).
fof(f209,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f214,plain,
( sz00 = aDimensionOf0(xt)
| sP4(sK18) ),
inference(superposition,[],[f128,f165]) ).
fof(f545,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| ~ aVector0(xt)
| sP4(sK18) ),
inference(superposition,[],[f180,f214]) ).
fof(f553,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| sP4(sK18) ),
inference(forward_subsumption_resolution,[],[f545,f125]) ).
fof(f746,plain,
( sz00 != sz00
| aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt)
| sP4(sK18)
| sP4(sK18) ),
inference(superposition,[],[f553,f214]) ).
fof(f752,plain,
( sz00 != sz00
| aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt)
| sP4(sK18) ),
inference(duplicate_literal_removal,[],[f746]) ).
fof(f753,plain,
( aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt)
| sP4(sK18) ),
inference(trivial_inequality_removal,[],[f752]) ).
fof(f758,plain,
( aScalar0(sdtasasdt0(xt,xt))
| sP4(sK18) ),
inference(forward_subsumption_resolution,[],[f753,f125]) ).
fof(f853,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(xs,X0)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(xs)
| ~ aVector0(X0)
| sP4(sK18) ),
inference(superposition,[],[f179,f165]) ).
fof(f861,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| sz00 != sz00
| ~ aVector0(X0)
| ~ aVector0(xs)
| sP4(sK18) ),
inference(superposition,[],[f179,f165]) ).
fof(f874,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0)
| ~ aVector0(xs)
| sP4(sK18) ),
inference(trivial_inequality_removal,[],[f861]) ).
fof(f880,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(xs,X0)
| ~ aVector0(xs)
| ~ aVector0(X0)
| sP4(sK18) ),
inference(duplicate_literal_removal,[],[f853]) ).
fof(f885,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0)
| sP4(sK18) ),
inference(forward_subsumption_resolution,[],[f874,f126]) ).
fof(f892,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(xs,X0)
| ~ aVector0(X0)
| sP4(sK18) ),
inference(forward_subsumption_resolution,[],[f880,f126]) ).
fof(f1142,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7),
inference(forward_subsumption_resolution,[],[f157,f170]) ).
fof(f1249,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| sP4(sK18)
| sP4(sK18) ),
inference(superposition,[],[f885,f165]) ).
fof(f1261,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| sP4(sK18) ),
inference(duplicate_literal_removal,[],[f1249]) ).
fof(f1262,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs)
| sP4(sK18) ),
inference(trivial_inequality_removal,[],[f1261]) ).
fof(f1267,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| sP4(sK18) ),
inference(forward_subsumption_resolution,[],[f1262,f126]) ).
fof(f1533,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ sP1(X0,X1,X2,X3,X4,X5,X6),
inference(forward_subsumption_resolution,[],[f150,f1142]) ).
fof(f1534,plain,
! [X2,X3,X0,X1,X4,X5] : ~ sP2(X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f1533,f143]) ).
fof(f1535,plain,
! [X2,X0,X1] : ~ sP3(X0,X1,X2),
inference(resolution,[],[f1534,f136]) ).
fof(f1536,plain,
! [X0] : ~ sP4(X0),
inference(resolution,[],[f1535,f129]) ).
fof(f1551,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xt)
| sP4(sK18)
| sP4(sK18) ),
inference(superposition,[],[f892,f214]) ).
fof(f1557,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xt)
| sP4(sK18) ),
inference(duplicate_literal_removal,[],[f1551]) ).
fof(f1558,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xt)
| sP4(sK18) ),
inference(trivial_inequality_removal,[],[f1557]) ).
fof(f1564,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| sP4(sK18) ),
inference(forward_subsumption_resolution,[],[f1558,f125]) ).
fof(f1601,plain,
sz0z00 = sdtasasdt0(xs,xt),
inference(forward_subsumption_resolution,[],[f1564,f1536]) ).
fof(f1618,plain,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(superposition,[],[f170,f1601]) ).
fof(f1649,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sdtasasdt0(xt,xt)))
| sP4(sK18) ),
inference(superposition,[],[f1618,f1267]) ).
fof(f1655,plain,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sdtasasdt0(xt,xt))),
inference(forward_subsumption_resolution,[],[f1649,f1536]) ).
fof(f1659,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| ~ aScalar0(sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt)) ),
inference(resolution,[],[f1655,f208]) ).
fof(f1662,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt)) ),
inference(duplicate_literal_removal,[],[f1659]) ).
fof(f1663,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt)) ),
inference(forward_subsumption_resolution,[],[f1662,f175]) ).
fof(f1664,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| ~ aScalar0(sdtasasdt0(xt,xt)) ),
inference(forward_subsumption_resolution,[],[f1663,f209]) ).
fof(f1666,plain,
( ~ aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt) ),
inference(resolution,[],[f1664,f178]) ).
fof(f1673,plain,
~ aScalar0(sdtasasdt0(xt,xt)),
inference(forward_subsumption_resolution,[],[f1666,f125]) ).
fof(f1700,plain,
sP4(sK18),
inference(resolution,[],[f1673,f758]) ).
fof(f1710,plain,
$false,
inference(forward_subsumption_resolution,[],[f1700,f1536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG081+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 23:14:01 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.56/1.30 % (2121568)Detected formulas, will run a generic FOF schedule.
% 3.56/1.30 % (2121573)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=1934720255:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.56/1.30 % (2121578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1204774493:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.56/1.30 % (2121574)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=3386341911:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.56/1.30 % (2121577)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=837826718:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.56/1.30 % (2121579)dis-21_1_sil=8000:lcm=predicate:random_seed=3230827992: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)
% 3.56/1.30 % (2121576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=926687881:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.56/1.30 % (2121575)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=210664137:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.56/1.30 % (2121577)First to succeed.
% 3.56/1.30 % (2121577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2121568"
% 3.56/1.30 % (2121579)Instruction limit reached!
% 3.56/1.30 % (2121579)------------------------------
% 3.56/1.30 % (2121579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.30 % (2121579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.30 % (2121579)CaDiCaL version: 2.1.3
% 3.56/1.30 % (2121579)Termination reason: Instruction limit
% 3.56/1.30 % (2121579)Termination phase: Saturation
% 3.56/1.30 % (2121579)Time elapsed: 0.058 s
% 3.56/1.30 % (2121579)Peak memory usage: 89 MB
% 3.56/1.30 % (2121579)Instructions burned: 131 (million)
% 3.56/1.30 % (2121576)Instruction limit reached!
% 3.56/1.30 % (2121576)------------------------------
% 3.56/1.30 % (2121576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.30 % (2121576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.30 % (2121576)CaDiCaL version: 2.1.3
% 3.56/1.30 % (2121576)Termination reason: Instruction limit
% 3.56/1.30 % (2121576)Termination phase: Saturation
% 3.56/1.30 % (2121576)Time elapsed: 0.072 s
% 3.56/1.30 % (2121576)Peak memory usage: 89 MB
% 3.56/1.30 % (2121576)Instructions burned: 110 (million)
% 3.56/1.30 % (2121578)Instruction limit reached!
% 3.56/1.30 % (2121578)------------------------------
% 3.56/1.30 % (2121578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.30 % (2121578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.30 % (2121578)CaDiCaL version: 2.1.3
% 3.56/1.30 % (2121578)Termination reason: Instruction limit
% 3.56/1.30 % (2121578)Termination phase: Saturation
% 3.56/1.30 % (2121578)Time elapsed: 0.090 s
% 3.56/1.30 % (2121578)Peak memory usage: 90 MB
% 3.56/1.30 % (2121578)Instructions burned: 139 (million)
% 3.56/1.30 % (2121587)lrs+10_1_sil=8000:sp=occurrence:random_seed=2552041759:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.56/1.30 % (2121588)lrs+10_1_sil=32000:urr=on:br=off:random_seed=771497859:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.56/1.30 % (2121589)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2143727986:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.56/1.30 % (2121587)Also succeeded, but the first one will report.
% 3.56/1.30 % (2121577)Refutation found. Thanks to Tanya!
% 3.56/1.30 % SZS status Theorem for theBenchmark
% 3.56/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.50 % (2121577)------------------------------
% 3.67/1.50 % (2121577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.50 % (2121577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.50 % (2121577)CaDiCaL version: 2.1.3
% 3.67/1.50 % (2121577)Termination reason: Refutation
% 3.67/1.50 % (2121577)Time elapsed: 0.034 s
% 3.67/1.50 % (2121577)Peak memory usage: 89 MB
% 3.67/1.50 % (2121577)Instructions burned: 54 (million)
% 3.67/1.50 % (2121577)------------------------------
% 3.67/1.50 % (2121577)------------------------------
% 3.67/1.50 % (2121568)Success in time 0.442 s
% 3.67/1.50 % Vampire exiting
%------------------------------------------------------------------------------