%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM518+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:24:38 PM UTC 2026
% Result : Theorem 28.60s 5.19s
% Output : Refutation 28.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 100 ( 28 unt; 1 def)
% Number of atoms : 453 ( 168 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 522 ( 169 ~; 166 |; 172 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 101 ( 70 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f42,axiom,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(X0,X1) )
| doDivides0(X0,xr) ) )
=> ( X0 = sz10
| X0 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f53,axiom,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtsldt0(xn,xr) = xn )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2504) ).
fof(f54,axiom,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2529) ).
fof(f55,axiom,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
& doDivides0(xp,xm) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2645) ).
fof(f56,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f61,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(f63,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xr )
| doDivides0(X1,xr) ) )
=> ( sz10 = X1
| xr = X1 ) )
& isPrime0(xr) ),
inference(rectify,[],[f48]) ).
fof(f66,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
& doDivides0(xp,xm) ) ),
inference(rectify,[],[f55]) ).
fof(f67,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(rectify,[],[f57]) ).
fof(f82,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f101,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f100]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f111,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f110]) ).
fof(f116,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(f117,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,[],[f116]) ).
fof(f134,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,[],[f61]) ).
fof(f135,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,[],[f134]) ).
fof(f136,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xp,X0) )
& ~ sdtlseqdt0(xp,xn) ),
inference(ennf_transformation,[],[f42]) ).
fof(f139,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(ennf_transformation,[],[f63]) ).
fof(f140,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(ennf_transformation,[],[f53]) ).
fof(f142,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xp,X0) )
& ~ doDivides0(xp,xn)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f67]) ).
fof(f149,definition,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f150,plain,
( sP3
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
& doDivides0(xp,xm) ) ),
inference(definition_folding,[],[f66,f149]) ).
fof(f159,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,[],[f117]) ).
fof(f160,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,[],[f159]) ).
fof(f174,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(sK12)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK12)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12)],[f135]) ).
fof(f176,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK15)
& xk = sdtasdt0(xr,sK15)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f140]) ).
fof(f184,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK22)
& xn = sdtpldt0(sdtsldt0(xn,xr),sK22)
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X0,sK22)],[f142]) ).
fof(f185,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK23)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK23)
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X0,sK23)],[f54]) ).
fof(f186,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f149]) ).
fof(f187,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK24)
& sdtsldt0(xn,xr) = sdtasdt0(xp,sK24)
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f186]) ).
fof(f188,plain,
( sP3
| ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
& doDivides0(xp,xm) ) ),
inference(rectify,[],[f150]) ).
fof(f189,plain,
( sP3
| ( aNaturalNumber0(sK25)
& xm = sdtasdt0(xp,sK25)
& doDivides0(xp,xm) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f188]) ).
fof(f204,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f82]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f235,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f241,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f242,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,[],[f160]) ).
fof(f258,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f260,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f284,plain,
sz00 != xp,
inference(cnf_transformation,[],[f174]) ).
fof(f285,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f136]) ).
fof(f312,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f176]) ).
fof(f331,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f184]) ).
fof(f338,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f184]) ).
fof(f342,plain,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f185]) ).
fof(f343,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f185]) ).
fof(f344,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| ~ sP3 ),
inference(cnf_transformation,[],[f187]) ).
fof(f345,plain,
( ~ sP3
| sdtsldt0(xn,xr) = sdtasdt0(xp,sK24) ),
inference(cnf_transformation,[],[f187]) ).
fof(f346,plain,
( aNaturalNumber0(sK24)
| ~ sP3 ),
inference(cnf_transformation,[],[f187]) ).
fof(f349,plain,
( sP3
| doDivides0(xp,xm) ),
inference(cnf_transformation,[],[f189]) ).
fof(f352,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f143]) ).
fof(f363,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,[],[f242]) ).
fof(f364,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f241]) ).
fof(f369,plain,
sP3,
inference(forward_subsumption_resolution,[],[f349,f352]) ).
fof(f503,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f204,f258]) ).
fof(f505,plain,
sz00 = sdtasdt0(xr,sz00),
inference(resolution,[],[f204,f312]) ).
fof(f570,plain,
sdtsldt0(xn,xr) = sdtasdt0(xp,sK24),
inference(resolution,[],[f345,f369]) ).
fof(f571,plain,
sdtlseqdt0(sdtasdt0(xp,sK24),xn),
inference(superposition,[],[f331,f570]) ).
fof(f573,plain,
xn != sdtasdt0(xp,sK24),
inference(superposition,[],[f338,f570]) ).
fof(f575,plain,
xn = sdtasdt0(xr,sdtasdt0(xp,sK24)),
inference(superposition,[],[f342,f570]) ).
fof(f576,plain,
aNaturalNumber0(sdtasdt0(xp,sK24)),
inference(superposition,[],[f343,f570]) ).
fof(f577,plain,
( doDivides0(xp,sdtasdt0(xp,sK24))
| ~ sP3 ),
inference(superposition,[],[f344,f570]) ).
fof(f580,plain,
doDivides0(xp,sdtasdt0(xp,sK24)),
inference(forward_subsumption_resolution,[],[f577,f369]) ).
fof(f1331,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xp,sK24))
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24))
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f222,f571]) ).
fof(f1347,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xp,sK24))
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1331,f576]) ).
fof(f1355,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xp,sK24))
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1347,f260]) ).
fof(f3624,plain,
( ~ aNaturalNumber0(sK24)
| sz00 = xp
| sK24 = sdtsldt0(sdtasdt0(xp,sK24),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24)) ),
inference(resolution,[],[f363,f580]) ).
fof(f3680,plain,
( ~ aNaturalNumber0(sK24)
| sK24 = sdtsldt0(sdtasdt0(xp,sK24),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24)) ),
inference(forward_subsumption_resolution,[],[f3624,f284]) ).
fof(f3706,plain,
( ~ aNaturalNumber0(sK24)
| sK24 = sdtsldt0(sdtasdt0(xp,sK24),xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24)) ),
inference(forward_subsumption_resolution,[],[f3680,f258]) ).
fof(f3715,plain,
( ~ aNaturalNumber0(sK24)
| sK24 = sdtsldt0(sdtasdt0(xp,sK24),xp) ),
inference(forward_subsumption_resolution,[],[f3706,f576]) ).
fof(f5873,plain,
( sK24 = sdtsldt0(sdtasdt0(xp,sK24),xp)
| ~ sP3 ),
inference(resolution,[],[f3715,f346]) ).
fof(f5874,plain,
sK24 = sdtsldt0(sdtasdt0(xp,sK24),xp),
inference(forward_subsumption_resolution,[],[f5873,f369]) ).
fof(f5894,plain,
( aNaturalNumber0(sK24)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xp,sK24))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24)) ),
inference(superposition,[],[f364,f5874]) ).
fof(f5895,plain,
( aNaturalNumber0(sK24)
| ~ doDivides0(xp,sdtasdt0(xp,sK24))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24)) ),
inference(forward_subsumption_resolution,[],[f5894,f284]) ).
fof(f5896,plain,
( aNaturalNumber0(sK24)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24)) ),
inference(forward_subsumption_resolution,[],[f5895,f580]) ).
fof(f5897,plain,
( aNaturalNumber0(sK24)
| ~ aNaturalNumber0(sdtasdt0(xp,sK24)) ),
inference(forward_subsumption_resolution,[],[f5896,f258]) ).
fof(f5898,plain,
aNaturalNumber0(sK24),
inference(forward_subsumption_resolution,[],[f5897,f576]) ).
fof(f6958,plain,
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| sz00 = sK24
| ~ aNaturalNumber0(sK24)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f1355,f235]) ).
fof(f6968,plain,
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| sz00 = sK24
| ~ aNaturalNumber0(sK24) ),
inference(duplicate_literal_removal,[],[f6958]) ).
fof(f6975,plain,
( ~ aNaturalNumber0(xp)
| sz00 = sK24
| ~ aNaturalNumber0(sK24) ),
inference(forward_subsumption_resolution,[],[f6968,f285]) ).
fof(f6981,plain,
( sz00 = sK24
| ~ aNaturalNumber0(sK24) ),
inference(forward_subsumption_resolution,[],[f6975,f258]) ).
fof(f6984,plain,
sz00 = sK24,
inference(forward_subsumption_resolution,[],[f6981,f5898]) ).
fof(f7137,plain,
xn != sdtasdt0(xp,sz00),
inference(superposition,[],[f573,f6984]) ).
fof(f7139,plain,
xn = sdtasdt0(xr,sdtasdt0(xp,sz00)),
inference(superposition,[],[f575,f6984]) ).
fof(f7297,plain,
xn = sdtasdt0(xr,sz00),
inference(forward_demodulation,[],[f7139,f503]) ).
fof(f7299,plain,
sz00 != xn,
inference(forward_demodulation,[],[f7137,f503]) ).
fof(f7312,plain,
sz00 = xn,
inference(forward_demodulation,[],[f7297,f505]) ).
fof(f7315,plain,
$false,
inference(forward_subsumption_resolution,[],[f7312,f7299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM518+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:13:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.68/2.54 % (2908330)Will run a generic schedule for satisfiability detection.
% 14.68/2.54 % (2908335)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1190774033_2999 on theBenchmark for (2999ds/0Mi)
% 14.68/2.54 % (2908336)% WARNING: option uhcvi not known.
% 14.68/2.54 % Detected minimum model sizes of [4]
% 14.68/2.54 % Detected maximum model sizes of [max]
% 14.68/2.54 % TRYING [4]
% 14.68/2.54 % (2908336)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=256324855:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.68/2.54 % (2908340)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=583831158:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.68/2.54 % (2908337)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3447132266:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.68/2.54 % (2908338)dis+10_1_sil=32000:sp=arity:random_seed=1578850478:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.68/2.54 % (2908339)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2565840089:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.68/2.54 % (2908341)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3120299026:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.68/2.54 % TRYING [5]
% 14.68/2.54 % (2908338)Instruction limit reached!
% 14.68/2.54 % (2908338)------------------------------
% 14.68/2.54 % (2908338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.54 % (2908338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.54 % (2908338)CaDiCaL version: 2.1.3
% 14.68/2.54 % (2908338)Termination reason: Instruction limit
% 14.68/2.54 % (2908338)Termination phase: Saturation
% 14.68/2.54 % (2908338)Time elapsed: 0.058 s
% 14.68/2.54 % (2908338)Peak memory usage: 13 MB
% 14.68/2.54 % (2908338)Instructions burned: 104 (million)
% 14.68/2.54 % (2908339)Instruction limit reached!
% 14.68/2.54 % (2908339)------------------------------
% 14.68/2.54 % (2908339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.54 % (2908339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.54 % (2908339)CaDiCaL version: 2.1.3
% 14.68/2.54 % (2908339)Termination reason: Instruction limit
% 14.68/2.54 % (2908339)Termination phase: Saturation
% 14.68/2.54 % (2908339)Time elapsed: 0.061 s
% 14.68/2.54 % (2908339)Peak memory usage: 13 MB
% 14.68/2.54 % (2908339)Instructions burned: 118 (million)
% 14.68/2.54 % TRYING [6]
% 14.68/2.54 % (2908340)Instruction limit reached!
% 14.68/2.54 % (2908340)------------------------------
% 14.68/2.54 % (2908340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.54 % (2908340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.54 % (2908340)CaDiCaL version: 2.1.3
% 14.68/2.54 % (2908340)Termination reason: Instruction limit
% 14.68/2.54 % (2908340)Termination phase: Saturation
% 14.68/2.54 % (2908340)Time elapsed: 0.071 s
% 14.68/2.54 % (2908340)Peak memory usage: 13 MB
% 14.68/2.54 % (2908340)Instructions burned: 135 (million)
% 14.68/2.54 % (2908349)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4246164026:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.68/2.54 % (2908350)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1091332357:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.68/2.54 % Detected minimum model sizes of [4]
% 14.68/2.54 % Detected maximum model sizes of [max]
% 14.68/2.54 % TRYING [4]
% 14.68/2.54 % (2908351)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=769785197:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.68/2.54 % (2908341)Instruction limit reached!
% 14.68/2.54 % (2908341)------------------------------
% 14.68/2.54 % (2908341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.54 % (2908341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.54 % (2908341)CaDiCaL version: 2.1.3
% 14.68/2.54 % (2908341)Termination reason: Instruction limit
% 14.68/2.54 % (2908341)Termination phase: Saturation
% 14.68/2.54 % (2908341)Time elapsed: 0.093 s
% 14.68/2.54 % (2908341)Peak memory usage: 15 MB
% 14.68/2.54 % (2908341)Instructions burned: 160 (million)
% 14.68/2.54 % (2908355)ott-21_1_sil=16000:fs=off:random_seed=1628136958:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.68/2.54 % TRYING [5]
% 14.68/2.54 % (2908350)Instruction limit reached!
% 14.68/2.54 % (2908350)------------------------------
% 28.60/5.19 % (2908350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908350)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908350)Termination reason: Instruction limit
% 28.60/5.19 % (2908350)Termination phase: Saturation
% 28.60/5.19 % (2908350)Time elapsed: 0.063 s
% 28.60/5.19 % (2908350)Peak memory usage: 12 MB
% 28.60/5.19 % (2908350)Instructions burned: 133 (million)
% 28.60/5.19 % (2908357)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3381145897:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 28.60/5.19 % TRYING [7]
% 28.60/5.19 % (2908355)Instruction limit reached!
% 28.60/5.19 % (2908355)------------------------------
% 28.60/5.19 % (2908355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908355)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908355)Termination reason: Instruction limit
% 28.60/5.19 % (2908355)Termination phase: Saturation
% 28.60/5.19 % (2908355)Time elapsed: 0.090 s
% 28.60/5.19 % (2908355)Peak memory usage: 13 MB
% 28.60/5.19 % (2908355)Instructions burned: 182 (million)
% 28.60/5.19 % TRYING [6]
% 28.60/5.19 % (2908359)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1665841769:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 28.60/5.19 % Detected minimum model sizes of [4]
% 28.60/5.19 % Detected maximum model sizes of [max]
% 28.60/5.19 % TRYING [4]
% 28.60/5.19 % (2908349)Instruction limit reached!
% 28.60/5.19 % (2908349)------------------------------
% 28.60/5.19 % (2908349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908349)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908349)Termination reason: Instruction limit
% 28.60/5.19 % (2908349)Termination phase: Finite model building constraint generation
% 28.60/5.19 % (2908349)Time elapsed: 0.256 s
% 28.60/5.19 % (2908349)Peak memory usage: 32 MB
% 28.60/5.19 % (2908349)Instructions burned: 715 (million)
% 28.60/5.19 % TRYING [5]
% 28.60/5.19 % (2908361)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=957654262:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 28.60/5.19 % TRYING [8]
% 28.60/5.19 % (2908357)Instruction limit reached!
% 28.60/5.19 % (2908357)------------------------------
% 28.60/5.19 % (2908357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908357)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908357)Termination reason: Instruction limit
% 28.60/5.19 % (2908357)Termination phase: Saturation
% 28.60/5.19 % (2908357)Time elapsed: 0.297 s
% 28.60/5.19 % (2908357)Peak memory usage: 14 MB
% 28.60/5.19 % (2908357)Instructions burned: 477 (million)
% 28.60/5.19 % (2908351)Instruction limit reached!
% 28.60/5.19 % (2908351)------------------------------
% 28.60/5.19 % (2908351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908351)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908351)Termination reason: Instruction limit
% 28.60/5.19 % (2908351)Termination phase: Saturation
% 28.60/5.19 % (2908351)Time elapsed: 0.381 s
% 28.60/5.19 % (2908351)Peak memory usage: 19 MB
% 28.60/5.19 % (2908351)Instructions burned: 684 (million)
% 28.60/5.19 % (2908363)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1220274038:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 28.60/5.19 % (2908364)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=979528053:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 28.60/5.19 % (2908359)Instruction limit reached!
% 28.60/5.19 % (2908359)------------------------------
% 28.60/5.19 % (2908359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908359)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908359)Termination reason: Instruction limit
% 28.60/5.19 % (2908359)Termination phase: Finite model building SAT solving
% 28.60/5.19 % (2908359)Time elapsed: 0.352 s
% 28.60/5.19 % (2908359)Peak memory usage: 23 MB
% 28.60/5.19 % (2908359)Instructions burned: 865 (million)
% 28.60/5.19 % (2908367)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1206616230:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 28.60/5.19 % TRYING [14]
% 28.60/5.19 % (2908363)Instruction limit reached!
% 28.60/5.19 % (2908363)------------------------------
% 28.60/5.19 % (2908363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908363)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908363)Termination reason: Instruction limit
% 28.60/5.19 % (2908363)Termination phase: Finite model building constraint generation
% 28.60/5.19 % (2908363)Time elapsed: 0.338 s
% 28.60/5.19 % (2908363)Peak memory usage: 76 MB
% 28.60/5.19 % (2908363)Instructions burned: 890 (million)
% 28.60/5.19 % (2908369)fmb+10_1_sil=64000:random_seed=3628933308:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 28.60/5.19 % Detected minimum model sizes of [4]
% 28.60/5.19 % Detected maximum model sizes of [max]
% 28.60/5.19 % TRYING [9]
% 28.60/5.19 % TRYING [4]
% 28.60/5.19 % (2908364)Instruction limit reached!
% 28.60/5.19 % (2908364)------------------------------
% 28.60/5.19 % (2908364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908364)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908364)Termination reason: Instruction limit
% 28.60/5.19 % (2908364)Termination phase: Saturation
% 28.60/5.19 % (2908364)Time elapsed: 0.366 s
% 28.60/5.19 % (2908364)Peak memory usage: 21 MB
% 28.60/5.19 % (2908364)Instructions burned: 693 (million)
% 28.60/5.19 % (2908371)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=701412627:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 28.60/5.19 % Detected minimum model sizes of [4]
% 28.60/5.19 % Detected maximum model sizes of [max]
% 28.60/5.19 % TRYING [20]
% 28.60/5.19 % TRYING [5]
% 28.60/5.19 % (2908361)Instruction limit reached!
% 28.60/5.19 % (2908361)------------------------------
% 28.60/5.19 % (2908361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908361)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908361)Termination reason: Instruction limit
% 28.60/5.19 % (2908361)Termination phase: Saturation
% 28.60/5.19 % (2908361)Time elapsed: 0.661 s
% 28.60/5.19 % (2908361)Peak memory usage: 22 MB
% 28.60/5.19 % (2908361)Instructions burned: 1179 (million)
% 28.60/5.19 % (2908373)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1345464814:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 28.60/5.19 % Detected minimum model sizes of [4]
% 28.60/5.19 % Detected maximum model sizes of [max]
% 28.60/5.19 % TRYING [8]
% 28.60/5.19 % (2908367)Instruction limit reached!
% 28.60/5.19 % (2908367)------------------------------
% 28.60/5.19 % (2908367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908367)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908367)Termination reason: Instruction limit
% 28.60/5.19 % (2908367)Termination phase: Saturation
% 28.60/5.19 % (2908367)Time elapsed: 0.487 s
% 28.60/5.19 % (2908367)Peak memory usage: 21 MB
% 28.60/5.19 % (2908367)Instructions burned: 881 (million)
% 28.60/5.19 % (2908375)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3228844013:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 28.60/5.19 % TRYING [6]
% 28.60/5.19 % (2908373)Instruction limit reached!
% 28.60/5.19 % (2908373)------------------------------
% 28.60/5.19 % (2908373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908373)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908373)Termination reason: Instruction limit
% 28.60/5.19 % (2908373)Termination phase: Finite model building constraint generation
% 28.60/5.19 % (2908373)Time elapsed: 0.339 s
% 28.60/5.19 % (2908373)Peak memory usage: 70 MB
% 28.60/5.19 % (2908373)Instructions burned: 920 (million)
% 28.60/5.19 % (2908377)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=554375265:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 28.60/5.19 % TRYING [10]
% 28.60/5.19 % TRYING [7]
% 28.60/5.19 % (2908377)Instruction limit reached!
% 28.60/5.19 % (2908377)------------------------------
% 28.60/5.19 % (2908377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908377)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908377)Termination reason: Instruction limit
% 28.60/5.19 % (2908377)Termination phase: Saturation
% 28.60/5.19 % (2908377)Time elapsed: 0.675 s
% 28.60/5.19 % (2908377)Peak memory usage: 18 MB
% 28.60/5.19 % (2908377)Instructions burned: 1472 (million)
% 28.60/5.19 % (2908379)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2226003436:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 28.60/5.19 % Detected minimum model sizes of [4]
% 28.60/5.19 % Detected maximum model sizes of [max]
% 28.60/5.19 % TRYING [77]
% 28.60/5.19 % TRYING [11]
% 28.60/5.19 % TRYING [8]
% 28.60/5.19 % (2908375)Instruction limit reached!
% 28.60/5.19 % (2908375)------------------------------
% 28.60/5.19 % (2908375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908375)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908375)Termination reason: Instruction limit
% 28.60/5.19 % (2908375)Termination phase: Saturation
% 28.60/5.19 % (2908375)Time elapsed: 2.666 s
% 28.60/5.19 % (2908375)Peak memory usage: 41 MB
% 28.60/5.19 % (2908375)Instructions burned: 5132 (million)
% 28.60/5.19 % (2908382)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3145459370:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 28.60/5.19 % Detected minimum model sizes of [4]
% 28.60/5.19 % Detected maximum model sizes of [max]
% 28.60/5.19 % TRYING [16]
% 28.60/5.19 % (2908371)Instruction limit reached!
% 28.60/5.19 % (2908371)------------------------------
% 28.60/5.19 % (2908371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908371)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908371)Termination reason: Instruction limit
% 28.60/5.19 % (2908371)Termination phase: Finite model building constraint generation
% 28.60/5.19 % (2908371)Time elapsed: 3.272 s
% 28.60/5.19 % (2908371)Peak memory usage: 577 MB
% 28.60/5.19 % (2908371)Instructions burned: 9517 (million)
% 28.60/5.19 % (2908384)ott-2_1_sil=16000:newcnf=on:random_seed=3498121758:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 28.60/5.19 % (2908379)Instruction limit reached!
% 28.60/5.19 % (2908379)------------------------------
% 28.60/5.19 % (2908379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908379)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908379)Termination reason: Instruction limit
% 28.60/5.19 % (2908379)Termination phase: Finite model building constraint generation
% 28.60/5.19 % (2908379)Time elapsed: 2.275 s
% 28.60/5.19 % (2908379)Peak memory usage: 457 MB
% 28.60/5.19 % (2908379)Instructions burned: 6326 (million)
% 28.60/5.19 % (2908386)ott+10_1_sil=32000:tgt=ground:random_seed=853835146:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 28.60/5.19 % (2908382)Instruction limit reached!
% 28.60/5.19 % (2908382)------------------------------
% 28.60/5.19 % (2908382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908382)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908382)Termination reason: Instruction limit
% 28.60/5.19 % (2908382)Termination phase: Finite model building constraint generation
% 28.60/5.19 % (2908382)Time elapsed: 0.762 s
% 28.60/5.19 % (2908382)Peak memory usage: 146 MB
% 28.60/5.19 % (2908382)Instructions burned: 2176 (million)
% 28.60/5.19 % (2908388)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1005045913:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 28.60/5.19 % Detected minimum model sizes of [4]
% 28.60/5.19 % Detected maximum model sizes of [max]
% 28.60/5.19 % TRYING [4]
% 28.60/5.19 % (2908386) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2908330-2908386"...
% 28.60/5.19 % (2908386)...printing done.
% 28.60/5.19 % TRYING [5]
% 28.60/5.19 % (2908386)Refutation found. Thanks to Tanya!
% 28.60/5.19 % SZS status Theorem for theBenchmark
% 28.60/5.19 % SZS output start Proof for theBenchmark
% See solution above
% 28.60/5.19 % (2908386)------------------------------
% 28.60/5.19 % (2908386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/5.19 % (2908386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.19 % (2908386)CaDiCaL version: 2.1.3
% 28.60/5.19 % (2908386)Termination reason: Refutation
% 28.60/5.19 % (2908386)Time elapsed: 0.187 s
% 28.60/5.19 % (2908386)Peak memory usage: 15 MB
% 28.60/5.19 % (2908386)Instructions burned: 353 (million)
% 28.60/5.19 % (2908330)Success in time 4.765 s
% 28.60/5.19 % Vampire exiting
%------------------------------------------------------------------------------