%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM502+3 : 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 : n007.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 12:15:28 PM UTC 2026
% Result : Theorem 11.88s 2.55s
% Output : Refutation 12.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 24
% Syntax : Number of formulae : 193 ( 31 unt; 10 def)
% Number of atoms : 754 ( 205 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 944 ( 383 ~; 430 |; 103 &)
% ( 13 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 119 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f44,axiom,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f50,conjecture,
( xk != xp
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xk,X0) = xp )
| sdtlseqdt0(xk,xp) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f51,negated_conjecture,
~ ( xk != xp
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xk,X0) = xp )
| sdtlseqdt0(xk,xp) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f55,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f41]) ).
fof(f56,plain,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtpldt0(xm,X1) )
& sdtlseqdt0(xm,xp) ),
inference(rectify,[],[f44]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f61]) ).
fof(f73,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f89,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f90,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f92,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f94,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f93]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f97]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f101]) ).
fof(f107,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f107]) ).
fof(f125,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f126,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(flattening,[],[f125]) ).
fof(f132,plain,
( xp = xk
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xp != sdtpldt0(xk,X0) )
& ~ sdtlseqdt0(xk,xp) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f144,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f108]) ).
fof(f145,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f144]) ).
fof(f159,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& aNaturalNumber0(sK10)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10)],[f126]) ).
fof(f160,plain,
( xn != xp
& aNaturalNumber0(sK11)
& xp = sdtpldt0(xn,sK11)
& sdtlseqdt0(xn,xp)
& xm != xp
& aNaturalNumber0(sK12)
& xp = sdtpldt0(xm,sK12)
& sdtlseqdt0(xm,xp) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f56]) ).
fof(f167,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f177,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f73]) ).
fof(f194,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f196,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f202,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f204,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f205,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f208,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f215,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f231,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f232,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f233,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f250,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f159]) ).
fof(f251,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
inference(cnf_transformation,[],[f159]) ).
fof(f252,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f159]) ).
fof(f257,plain,
sz00 != xp,
inference(cnf_transformation,[],[f159]) ).
fof(f262,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f160]) ).
fof(f265,plain,
xm != xp,
inference(cnf_transformation,[],[f160]) ).
fof(f266,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f160]) ).
fof(f269,plain,
xn != xp,
inference(cnf_transformation,[],[f160]) ).
fof(f270,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f271,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f272,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f276,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f291,plain,
( xp = xk
| ~ sdtlseqdt0(xk,xp) ),
inference(cnf_transformation,[],[f132]) ).
fof(f300,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f215]) ).
fof(f307,definition,
( spl16_1
<=> sdtlseqdt0(xk,xp) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f309,plain,
( ~ sdtlseqdt0(xk,xp)
| spl16_1 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f311,definition,
( spl16_2
<=> xp = xk ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f313,plain,
( xp = xk
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f314,plain,
( ~ spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f291,f311,f307]) ).
fof(f319,plain,
doDivides0(xp,sdtasdt0(xp,xk)),
inference(forward_demodulation,[],[f250,f271]) ).
fof(f320,plain,
sdtasdt0(xp,xk) = sdtasdt0(xp,sK10),
inference(forward_demodulation,[],[f251,f271]) ).
fof(f344,plain,
xk = sdtsldt0(sdtasdt0(xp,xk),xp),
inference(superposition,[],[f270,f271]) ).
fof(f359,definition,
( spl16_8
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f360,plain,
( sz00 != xm
| spl16_8 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f361,plain,
( sz00 = xm
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f388,plain,
( sdtlseqdt0(sz00,xp)
| ~ spl16_8 ),
inference(superposition,[],[f262,f361]) ).
fof(f468,plain,
( ~ doDivides0(xp,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sK10)
| sz00 = xp
| sK10 = sdtsldt0(sdtasdt0(xp,xk),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(superposition,[],[f300,f320]) ).
fof(f469,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,xk))
| sz00 = sK10
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f208,f320]) ).
fof(f470,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,xk))
| sz00 = sK10
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f469,f252]) ).
fof(f471,plain,
( ~ aNaturalNumber0(sK10)
| sz00 = xp
| sK10 = sdtsldt0(sdtasdt0(xp,xk),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(forward_subsumption_resolution,[],[f468,f319]) ).
fof(f472,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,xk))
| sz00 = sK10 ),
inference(forward_subsumption_resolution,[],[f470,f231]) ).
fof(f473,plain,
( sz00 = xp
| sK10 = sdtsldt0(sdtasdt0(xp,xk),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(forward_subsumption_resolution,[],[f471,f252]) ).
fof(f475,plain,
( sK10 = sdtsldt0(sdtasdt0(xp,xk),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(forward_subsumption_resolution,[],[f473,f257]) ).
fof(f477,definition,
( spl16_14
<=> sz00 = sK10 ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f479,plain,
( sz00 = sK10
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f485,plain,
( sK10 = sdtsldt0(sdtasdt0(xp,xk),xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(forward_subsumption_resolution,[],[f475,f231]) ).
fof(f496,definition,
( spl16_17
<=> sdtlseqdt0(xp,sdtasdt0(xp,xk)) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f498,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,xk))
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,plain,
( spl16_14
| spl16_17 ),
inference(avatar_split_clause,[],[f472,f496,f477]) ).
fof(f500,plain,
( xk = sK10
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(forward_demodulation,[],[f485,f344]) ).
fof(f502,definition,
( spl16_18
<=> aNaturalNumber0(sdtasdt0(xp,xk)) ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f503,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xk))
| spl16_18 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f515,definition,
( spl16_21
<=> xk = sK10 ),
introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).
fof(f517,plain,
( xk = sK10
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,plain,
( ~ spl16_18
| spl16_21 ),
inference(avatar_split_clause,[],[f500,f515,f502]) ).
fof(f520,plain,
( sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| spl16_1 ),
inference(resolution,[],[f309,f196]) ).
fof(f521,plain,
( sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f520,f231]) ).
fof(f523,plain,
( sdtlseqdt0(xp,xk)
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f521,f272]) ).
fof(f534,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f167,f271]) ).
fof(f537,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f534,f504]) ).
fof(f540,plain,
( ~ aNaturalNumber0(xm)
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f537,f233]) ).
fof(f545,plain,
( $false
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f540,f232]) ).
fof(f546,plain,
spl16_18,
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f549,plain,
( sz00 = xk
| ~ spl16_14
| ~ spl16_21 ),
inference(forward_demodulation,[],[f517,f479]) ).
fof(f552,plain,
( $false
| ~ spl16_14
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f549,f276]) ).
fof(f553,plain,
( ~ spl16_14
| ~ spl16_21 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f579,definition,
( spl16_23
<=> sz00 = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[spl16_23])],[avatar_definition]) ).
fof(f580,plain,
( sz00 != sdtasdt0(xp,xk)
| spl16_23 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( sz00 = sdtasdt0(xp,xk)
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f726,plain,
sz00 = sdtasdt0(xn,sz00),
inference(resolution,[],[f177,f233]) ).
fof(f825,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm))
| sz00 = xm
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f202,f271]) ).
fof(f963,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(resolution,[],[f204,f194]) ).
fof(f984,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f963,f205]) ).
fof(f994,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f984,f167]) ).
fof(f1003,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f994,f167]) ).
fof(f1593,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,X0))
| sK10 = X0
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10)
| sz00 = xp ),
inference(superposition,[],[f1003,f320]) ).
fof(f1617,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,X0))
| sK10 = X0
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10)
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f1593,f231]) ).
fof(f1627,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,X0))
| sK10 = X0
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(X0)
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f1617,f252]) ).
fof(f1637,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,X0))
| sK10 = X0
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1627,f257]) ).
fof(f1699,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xp)
| xp = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xp)
| ~ spl16_17 ),
inference(resolution,[],[f498,f194]) ).
fof(f1702,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xp)
| xp = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| ~ spl16_17
| ~ spl16_18 ),
inference(forward_subsumption_resolution,[],[f1699,f503]) ).
fof(f1704,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),xp)
| xp = sdtasdt0(xp,xk)
| ~ spl16_17
| ~ spl16_18 ),
inference(forward_subsumption_resolution,[],[f1702,f231]) ).
fof(f1706,plain,
( ~ sdtlseqdt0(sz00,xp)
| xp = sdtasdt0(xp,xk)
| ~ spl16_17
| ~ spl16_18
| ~ spl16_23 ),
inference(forward_demodulation,[],[f1704,f581]) ).
fof(f1707,plain,
( xp = sdtasdt0(xp,xk)
| ~ spl16_8
| ~ spl16_17
| ~ spl16_18
| ~ spl16_23 ),
inference(forward_subsumption_resolution,[],[f1706,f388]) ).
fof(f1708,plain,
( sz00 = xp
| ~ spl16_8
| ~ spl16_17
| ~ spl16_18
| ~ spl16_23 ),
inference(forward_demodulation,[],[f1707,f581]) ).
fof(f1709,plain,
( $false
| ~ spl16_8
| ~ spl16_17
| ~ spl16_18
| ~ spl16_23 ),
inference(forward_subsumption_resolution,[],[f1708,f257]) ).
fof(f1710,plain,
( ~ spl16_8
| ~ spl16_17
| ~ spl16_18
| ~ spl16_23 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1732,plain,
( ! [X0] :
( xk = X0
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,X0))
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(X0) )
| ~ spl16_21 ),
inference(forward_demodulation,[],[f1637,f517]) ).
fof(f1763,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,X0))
| xk = X0
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) )
| ~ spl16_21 ),
inference(forward_demodulation,[],[f1732,f517]) ).
fof(f2187,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm))
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f825,f360]) ).
fof(f2194,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm))
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) )
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2187,f232]) ).
fof(f2198,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm))
| xn = X0
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0) )
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2194,f233]) ).
fof(f2201,plain,
( xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xp
| spl16_8 ),
inference(resolution,[],[f2198,f1003]) ).
fof(f2205,plain,
( xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xp
| spl16_8 ),
inference(duplicate_literal_removal,[],[f2201]) ).
fof(f2208,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xp
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2205,f269]) ).
fof(f2209,plain,
( ~ aNaturalNumber0(xp)
| xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xp
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2208,f266]) ).
fof(f2210,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xp
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2209,f231]) ).
fof(f2211,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xk)
| sz00 = xp
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2210,f232]) ).
fof(f2212,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| sz00 = xp
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2211,f272]) ).
fof(f2213,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f2212,f257]) ).
fof(f2215,definition,
( spl16_74
<=> sdtlseqdt0(xm,xk) ),
introduced(definition,[new_symbols(definition,[spl16_74])],[avatar_definition]) ).
fof(f2217,plain,
( ~ sdtlseqdt0(xm,xk)
| spl16_74 ),
inference(avatar_component_clause,[],[f2215]) ).
fof(f2219,definition,
( spl16_75
<=> xm = xk ),
introduced(definition,[new_symbols(definition,[spl16_75])],[avatar_definition]) ).
fof(f2221,plain,
( xm = xk
| ~ spl16_75 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2222,plain,
( ~ spl16_74
| spl16_75
| spl16_8 ),
inference(avatar_split_clause,[],[f2213,f359,f2219,f2215]) ).
fof(f2425,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xp)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) )
| spl16_1 ),
inference(resolution,[],[f523,f195]) ).
fof(f2426,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xp)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk) )
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f2425,f231]) ).
fof(f2427,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xp)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) )
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f2426,f272]) ).
fof(f2579,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xm)
| xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| spl16_8
| ~ spl16_21 ),
inference(resolution,[],[f1763,f2198]) ).
fof(f2801,plain,
( sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xm)
| spl16_1 ),
inference(resolution,[],[f2427,f262]) ).
fof(f2805,plain,
( ~ aNaturalNumber0(xm)
| spl16_1
| spl16_74 ),
inference(forward_subsumption_resolution,[],[f2801,f2217]) ).
fof(f2808,plain,
( $false
| spl16_1
| spl16_74 ),
inference(forward_subsumption_resolution,[],[f2805,f232]) ).
fof(f2809,plain,
( spl16_1
| spl16_74 ),
inference(avatar_contradiction_clause,[],[f2808]) ).
fof(f2814,plain,
( ~ sdtlseqdt0(xm,xp)
| spl16_1
| ~ spl16_75 ),
inference(superposition,[],[f309,f2221]) ).
fof(f2856,plain,
( $false
| spl16_1
| ~ spl16_75 ),
inference(forward_subsumption_resolution,[],[f2814,f262]) ).
fof(f2857,plain,
( spl16_1
| ~ spl16_75 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2872,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| spl16_8
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f2579,f232]) ).
fof(f2897,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| spl16_8
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f2872,f269]) ).
fof(f2917,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xp)
| spl16_8
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f2897,f266]) ).
fof(f2932,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk)
| spl16_8
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f2917,f231]) ).
fof(f2943,plain,
( xm = xp
| ~ sdtlseqdt0(xm,xk)
| ~ spl16_2
| spl16_8
| ~ spl16_21 ),
inference(forward_demodulation,[],[f2932,f313]) ).
fof(f2950,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ spl16_2
| spl16_8
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f2943,f265]) ).
fof(f2955,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ spl16_2
| spl16_8
| ~ spl16_21 ),
inference(forward_demodulation,[],[f2950,f313]) ).
fof(f2958,plain,
( $false
| ~ spl16_2
| spl16_8
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f2955,f262]) ).
fof(f2959,plain,
( ~ spl16_2
| spl16_8
| ~ spl16_21 ),
inference(avatar_contradiction_clause,[],[f2958]) ).
fof(f3171,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xn,sz00)
| ~ spl16_8 ),
inference(superposition,[],[f271,f361]) ).
fof(f3177,plain,
( sz00 = sdtasdt0(xp,xk)
| ~ spl16_8 ),
inference(forward_demodulation,[],[f3171,f726]) ).
fof(f3180,plain,
( $false
| ~ spl16_8
| spl16_23 ),
inference(forward_subsumption_resolution,[],[f3177,f580]) ).
fof(f3181,plain,
( ~ spl16_8
| spl16_23 ),
inference(avatar_contradiction_clause,[],[f3180]) ).
cnf(s1,plain,
( ~ spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f314]) ).
cnf(s11,plain,
( spl16_14
| spl16_17 ),
inference(sat_conversion,[],[f499]) ).
cnf(s13,plain,
( ~ spl16_18
| spl16_21 ),
inference(sat_conversion,[],[f518]) ).
cnf(s16,plain,
spl16_18,
inference(sat_conversion,[],[f546]) ).
cnf(s17,plain,
( ~ spl16_14
| ~ spl16_21 ),
inference(sat_conversion,[],[f553]) ).
cnf(s39,plain,
( ~ spl16_8
| ~ spl16_17
| ~ spl16_18
| ~ spl16_23 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s69,plain,
( spl16_8
| ~ spl16_74
| spl16_75 ),
inference(sat_conversion,[],[f2222]) ).
cnf(s93,plain,
( spl16_1
| spl16_74 ),
inference(sat_conversion,[],[f2809]) ).
cnf(s95,plain,
( spl16_1
| ~ spl16_75 ),
inference(sat_conversion,[],[f2857]) ).
cnf(s100,plain,
( ~ spl16_2
| spl16_8
| ~ spl16_21 ),
inference(sat_conversion,[],[f2959]) ).
cnf(s109,plain,
( ~ spl16_8
| spl16_23 ),
inference(sat_conversion,[],[f3181]) ).
cnf(s117,plain,
spl16_21,
inference(rat,[],[s13,s16]) ).
cnf(s118,plain,
~ spl16_14,
inference(rat,[],[s17,s117]) ).
cnf(s120,plain,
spl16_17,
inference(rat,[],[s11,s118]) ).
cnf(s128,plain,
~ spl16_8,
inference(rat,[],[s39,s109,s16,s120]) ).
cnf(s129,plain,
~ spl16_2,
inference(rat,[],[s100,s117,s128]) ).
cnf(s131,plain,
~ spl16_1,
inference(rat,[],[s1,s129]) ).
cnf(s132,plain,
~ spl16_75,
inference(rat,[],[s95,s131]) ).
cnf(s133,plain,
spl16_74,
inference(rat,[],[s93,s131]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s69,s128,s132,s133]) ).
fof(f3184,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM502+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:12:10 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.88/2.53 % (1752768)Detected formulas, will run a generic FOF schedule.
% 11.88/2.53 % (1752778)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1064765775:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.88/2.53 % (1752776)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3395524251:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.88/2.53 % (1752775)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=2707333970:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.88/2.53 % (1752774)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=2539612706:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.88/2.53 % (1752773)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=3280037899:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.88/2.53 % (1752777)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2387066138:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.88/2.53 % (1752779)dis-21_1_sil=8000:lcm=predicate:random_seed=1217710524: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)
% 11.88/2.53 % (1752778)Instruction limit reached!
% 11.88/2.53 % (1752778)------------------------------
% 11.88/2.53 % (1752778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.53 % (1752778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.53 % (1752778)CaDiCaL version: 2.1.3
% 11.88/2.53 % (1752778)Termination reason: Instruction limit
% 11.88/2.53 % (1752778)Termination phase: Saturation
% 11.88/2.53 % (1752778)Time elapsed: 0.050 s
% 11.88/2.53 % (1752778)Peak memory usage: 90 MB
% 11.88/2.53 % (1752778)Instructions burned: 140 (million)
% 11.88/2.53 % (1752776)Instruction limit reached!
% 11.88/2.53 % (1752776)------------------------------
% 11.88/2.53 % (1752776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.53 % (1752776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.53 % (1752776)CaDiCaL version: 2.1.3
% 11.88/2.53 % (1752776)Termination reason: Instruction limit
% 11.88/2.53 % (1752776)Termination phase: Saturation
% 11.88/2.53 % (1752776)Time elapsed: 0.063 s
% 11.88/2.53 % (1752776)Peak memory usage: 89 MB
% 11.88/2.53 % (1752776)Instructions burned: 109 (million)
% 11.88/2.53 % (1752777)Instruction limit reached!
% 11.88/2.53 % (1752777)------------------------------
% 11.88/2.53 % (1752777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.53 % (1752777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.53 % (1752777)CaDiCaL version: 2.1.3
% 11.88/2.53 % (1752777)Termination reason: Instruction limit
% 11.88/2.53 % (1752777)Termination phase: Saturation
% 11.88/2.53 % (1752777)Time elapsed: 0.067 s
% 11.88/2.53 % (1752777)Peak memory usage: 89 MB
% 11.88/2.53 % (1752777)Instructions burned: 119 (million)
% 11.88/2.53 % (1752779)Instruction limit reached!
% 11.88/2.53 % (1752779)------------------------------
% 11.88/2.53 % (1752779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.53 % (1752779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.53 % (1752779)CaDiCaL version: 2.1.3
% 11.88/2.53 % (1752779)Termination reason: Instruction limit
% 11.88/2.53 % (1752779)Termination phase: Saturation
% 11.88/2.53 % (1752779)Time elapsed: 0.079 s
% 11.88/2.53 % (1752779)Peak memory usage: 91 MB
% 11.88/2.53 % (1752779)Instructions burned: 130 (million)
% 11.88/2.53 % (1752787)lrs+10_1_sil=8000:sp=occurrence:random_seed=2054789637:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.88/2.53 % (1752788)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2520192158:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.88/2.53 % (1752787)Instruction limit reached!
% 11.88/2.53 % (1752787)------------------------------
% 11.88/2.53 % (1752787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.53 % (1752787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.53 % (1752787)CaDiCaL version: 2.1.3
% 11.88/2.53 % (1752787)Termination reason: Instruction limit
% 11.88/2.53 % (1752787)Termination phase: Saturation
% 11.88/2.55 % (1752787)Time elapsed: 0.086 s
% 11.88/2.55 % (1752787)Peak memory usage: 91 MB
% 11.88/2.55 % (1752787)Instructions burned: 287 (million)
% 11.88/2.55 % (1752789)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3891502636:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.88/2.55 % (1752790)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=1631792742:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.88/2.55 % (1752788)Instruction limit reached!
% 11.88/2.55 % (1752788)------------------------------
% 11.88/2.55 % (1752788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752788)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752788)Termination reason: Instruction limit
% 11.88/2.55 % (1752788)Termination phase: Saturation
% 11.88/2.55 % (1752788)Time elapsed: 0.074 s
% 11.88/2.55 % (1752788)Peak memory usage: 91 MB
% 11.88/2.55 % (1752788)Instructions burned: 157 (million)
% 11.88/2.55 % (1752793)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2322672046:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 11.88/2.55 % (1752790)Instruction limit reached!
% 11.88/2.55 % (1752790)------------------------------
% 11.88/2.55 % (1752790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752790)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752790)Termination reason: Instruction limit
% 11.88/2.55 % (1752790)Termination phase: Saturation
% 11.88/2.55 % (1752790)Time elapsed: 0.115 s
% 11.88/2.55 % (1752790)Peak memory usage: 95 MB
% 11.88/2.55 % (1752790)Instructions burned: 249 (million)
% 11.88/2.55 % (1752793)Instruction limit reached!
% 11.88/2.55 % (1752793)------------------------------
% 11.88/2.55 % (1752793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752793)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752793)Termination reason: Instruction limit
% 11.88/2.55 % (1752793)Termination phase: Saturation
% 11.88/2.55 % (1752793)Time elapsed: 0.086 s
% 11.88/2.55 % (1752793)Peak memory usage: 89 MB
% 11.88/2.55 % (1752793)Instructions burned: 297 (million)
% 11.88/2.55 % (1752796)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2798134035:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.88/2.55 % (1752789)Instruction limit reached!
% 11.88/2.55 % (1752789)------------------------------
% 11.88/2.55 % (1752789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752789)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752789)Termination reason: Instruction limit
% 11.88/2.55 % (1752789)Termination phase: Saturation
% 11.88/2.55 % (1752789)Time elapsed: 0.202 s
% 11.88/2.55 % (1752789)Peak memory usage: 92 MB
% 11.88/2.55 % (1752789)Instructions burned: 325 (million)
% 11.88/2.55 % (1752799)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2493268598:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.88/2.55 % (1752798)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1310851422:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 11.88/2.55 % (1752799)Instruction limit reached!
% 11.88/2.55 % (1752799)------------------------------
% 11.88/2.55 % (1752799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752799)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752799)Termination reason: Instruction limit
% 11.88/2.55 % (1752799)Termination phase: Saturation
% 11.88/2.55 % (1752799)Time elapsed: 0.035 s
% 11.88/2.55 % (1752799)Peak memory usage: 89 MB
% 11.88/2.55 % (1752799)Instructions burned: 129 (million)
% 11.88/2.55 % (1752798)Instruction limit reached!
% 11.88/2.55 % (1752798)------------------------------
% 11.88/2.55 % (1752798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752798)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752798)Termination reason: Instruction limit
% 11.88/2.55 % (1752798)Termination phase: Saturation
% 11.88/2.55 % (1752798)Time elapsed: 0.070 s
% 11.88/2.55 % (1752798)Peak memory usage: 90 MB
% 11.88/2.55 % (1752798)Instructions burned: 114 (million)
% 11.88/2.55 % (1752801)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2591499802:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 11.88/2.55 % (1752804)lrs+10_1_sil=8000:sp=occurrence:random_seed=4043550809:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 11.88/2.55 % (1752801)Instruction limit reached!
% 11.88/2.55 % (1752801)------------------------------
% 11.88/2.55 % (1752801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752801)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752801)Termination reason: Instruction limit
% 11.88/2.55 % (1752801)Termination phase: Saturation
% 11.88/2.55 % (1752801)Time elapsed: 0.062 s
% 11.88/2.55 % (1752801)Peak memory usage: 89 MB
% 11.88/2.55 % (1752801)Instructions burned: 114 (million)
% 11.88/2.55 % (1752805)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3769099778:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 11.88/2.55 % (1752808)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=672672521:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 11.88/2.55 % (1752804)Instruction limit reached!
% 11.88/2.55 % (1752804)------------------------------
% 11.88/2.55 % (1752804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752804)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752804)Termination reason: Instruction limit
% 11.88/2.55 % (1752804)Termination phase: Saturation
% 11.88/2.55 % (1752804)Time elapsed: 0.269 s
% 11.88/2.55 % (1752804)Peak memory usage: 97 MB
% 11.88/2.55 % (1752804)Instructions burned: 907 (million)
% 11.88/2.55 % (1752805)Instruction limit reached!
% 11.88/2.55 % (1752805)------------------------------
% 11.88/2.55 % (1752805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752805)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752805)Termination reason: Instruction limit
% 11.88/2.55 % (1752805)Termination phase: Saturation
% 11.88/2.55 % (1752805)Time elapsed: 0.259 s
% 11.88/2.55 % (1752805)Peak memory usage: 92 MB
% 11.88/2.55 % (1752805)Instructions burned: 437 (million)
% 11.88/2.55 % (1752811)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1834437974:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 11.88/2.55 % (1752811)Instruction limit reached!
% 11.88/2.55 % (1752811)------------------------------
% 11.88/2.55 % (1752811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752811)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752811)Termination reason: Instruction limit
% 11.88/2.55 % (1752811)Termination phase: Saturation
% 11.88/2.55 % (1752811)Time elapsed: 0.036 s
% 11.88/2.55 % (1752811)Peak memory usage: 92 MB
% 11.88/2.55 % (1752811)Instructions burned: 137 (million)
% 11.88/2.55 % (1752812)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3049887789:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 11.88/2.55 % (1752814)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3333742757:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 11.88/2.55 % (1752796)First to succeed.
% 11.88/2.55 % (1752796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1752768"
% 11.88/2.55 % (1752812)Instruction limit reached!
% 11.88/2.55 % (1752812)------------------------------
% 11.88/2.55 % (1752812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.55 % (1752812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.55 % (1752812)CaDiCaL version: 2.1.3
% 11.88/2.55 % (1752812)Termination reason: Instruction limit
% 11.88/2.55 % (1752812)Termination phase: Saturation
% 11.88/2.55 % (1752812)Time elapsed: 0.363 s
% 11.88/2.55 % (1752812)Peak memory usage: 93 MB
% 11.88/2.55 % (1752812)Instructions burned: 592 (million)
% 11.88/2.55 % (1752817)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=317057596:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 11.88/2.55 % (1752796)Refutation found. Thanks to Tanya!
% 11.88/2.55 % SZS status Theorem for theBenchmark
% 11.88/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.54/2.75 % (1752796)------------------------------
% 12.54/2.75 % (1752796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.75 % (1752796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.75 % (1752796)CaDiCaL version: 2.1.3
% 12.54/2.75 % (1752796)Termination reason: Refutation
% 12.54/2.75 % (1752796)Time elapsed: 0.904 s
% 12.54/2.75 % (1752796)Peak memory usage: 134 MB
% 12.54/2.75 % (1752796)Instructions burned: 1357 (million)
% 12.54/2.75 % (1752796)------------------------------
% 12.54/2.75 % (1752796)------------------------------
% 12.54/2.75 % (1752768)Success in time 1.691 s
% 12.54/2.75 % Vampire exiting
%------------------------------------------------------------------------------