%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM493+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 : n002.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 12:15:26 PM UTC 2026
% Result : Theorem 6.51s 1.95s
% Output : Refutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 106 ( 21 unt; 7 def)
% Number of atoms : 589 ( 147 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 755 ( 272 ~; 299 |; 163 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 159 ( 0 sgn 118 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X1) = sdtasdt0(X2,X3) )
| doDivides0(X2,sdtasdt0(X0,X1)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X3] :
( aNaturalNumber0(X3)
& X0 = sdtasdt0(X2,X3) )
& doDivides0(X2,X0) )
| ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
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(f43,axiom,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f44,axiom,
( xr != xn
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xn )
& sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1894) ).
fof(f45,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1913) ).
fof(f46,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
| doDivides0(xp,xr)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
| doDivides0(xp,xr)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) )
& ( ? [X5] :
( aNaturalNumber0(X5)
& sdtasdt0(X0,X1) = sdtasdt0(X2,X5) )
| doDivides0(X2,sdtasdt0(X0,X1)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) ) ) ) ) ),
inference(rectify,[],[f40]) ).
fof(f51,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(f52,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(rectify,[],[f47]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f89]) ).
fof(f97,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f98,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f117]) ).
fof(f119,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,[],[f51]) ).
fof(f120,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,[],[f119]) ).
fof(f121,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != xr )
& ~ doDivides0(xp,xr)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f52]) ).
fof(f122,definition,
! [X2] :
( ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f123,definition,
! [X1,X2] :
( ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ sP1(X1,X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| sP1(X1,X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(X2)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(definition_folding,[],[f118,f123,f122]) ).
fof(f140,plain,
! [X1,X2] :
( ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ sP1(X1,X2) ),
inference(nnf_transformation,[],[f123]) ).
fof(f141,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( ( aNaturalNumber0(sK6(X0,X1))
& sdtasdt0(X1,sK6(X0,X1)) = X0
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f141]) ).
fof(f143,plain,
! [X2] :
( ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f122]) ).
fof(f144,plain,
! [X0] :
( ( ( sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
& doDivides0(X1,X0) ) )
& ~ isPrime0(X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ( ( sz00 = X0
| sz10 = X0
| ( sz10 != sK7(X0)
& sK7(X0) != X0
& aNaturalNumber0(sK7(X0))
& aNaturalNumber0(sK8(X0))
& sdtasdt0(sK7(X0),sK8(X0)) = X0
& doDivides0(sK7(X0),X0) ) )
& ~ isPrime0(X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X2,sK8(X0))],[f144]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X2,X3) = X0 )
& doDivides0(X2,X0) )
| sP1(X1,X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(X2)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X4) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rectify,[],[f124]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(sK9(X0,X2))
& sdtasdt0(X2,sK9(X0,X2)) = X0
& doDivides0(X2,X0) )
| sP1(X1,X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP0(X2)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X4) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X2))],[f146]) ).
fof(f148,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)],[f120]) ).
fof(f150,plain,
( xr != xn
& aNaturalNumber0(sK12)
& xn = sdtpldt0(xr,sK12)
& sdtlseqdt0(xr,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f44]) ).
fof(f151,plain,
( aNaturalNumber0(sK13)
& sdtasdt0(xr,xm) = sdtasdt0(xp,sK13)
& doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f45]) ).
fof(f155,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f188,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f198,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f220,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f221,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f222,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f223,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f226,plain,
! [X0] :
( ~ sP0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| doDivides0(X2,X0)
| sP0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f242,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f148]) ).
fof(f252,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f253,plain,
sdtlseqdt0(xr,xn),
inference(cnf_transformation,[],[f150]) ).
fof(f256,plain,
xn != xr,
inference(cnf_transformation,[],[f150]) ).
fof(f257,plain,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f151]) ).
fof(f260,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f121]) ).
fof(f262,plain,
~ doDivides0(xp,xr),
inference(cnf_transformation,[],[f121]) ).
fof(f372,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X2,X1)
| iLess0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| X0 = X2
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f198,f187]) ).
fof(f373,plain,
! [X2,X0,X1] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| X0 = X2
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(forward_subsumption_resolution,[],[f372,f188]) ).
fof(f377,plain,
! [X2,X0,X1] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| X0 = X2
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(forward_subsumption_resolution,[],[f373,f155]) ).
fof(f381,plain,
! [X2,X0,X1] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| X0 = X2
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(forward_subsumption_resolution,[],[f377,f155]) ).
fof(f454,plain,
! [X0,X1] :
( ~ aNaturalNumber0(xp)
| sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sP1(X1,xp)
| doDivides0(xp,X0)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f381,f233]) ).
fof(f457,plain,
! [X0,X1] :
( ~ aNaturalNumber0(xp)
| sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sP1(X1,xp)
| doDivides0(xp,X0)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f454]) ).
fof(f460,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sP1(X1,xp)
| doDivides0(xp,X0)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f457,f220]) ).
fof(f463,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sP1(X1,xp)
| doDivides0(xp,X0)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f460,f155]) ).
fof(f470,definition,
( spl14_12
<=> sP0(xp) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f471,plain,
( sP0(xp)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f486,definition,
( spl14_15
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl14_15])],[avatar_definition]) ).
fof(f487,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl14_15 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f489,definition,
( spl14_16
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
fof(f490,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| doDivides0(xp,X0)
| sP1(X1,xp)
| sdtpldt0(X0,X1) = sdtpldt0(xn,xm) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( spl14_12
| ~ spl14_15
| spl14_16 ),
inference(avatar_split_clause,[],[f463,f489,f486,f470]) ).
fof(f493,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl14_15 ),
inference(resolution,[],[f487,f155]) ).
fof(f495,plain,
( ~ aNaturalNumber0(xm)
| spl14_15 ),
inference(forward_subsumption_resolution,[],[f493,f222]) ).
fof(f496,plain,
( $false
| spl14_15 ),
inference(forward_subsumption_resolution,[],[f495,f221]) ).
fof(f497,plain,
spl14_15,
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f499,plain,
( ~ isPrime0(xp)
| ~ spl14_12 ),
inference(resolution,[],[f471,f226]) ).
fof(f501,plain,
( $false
| ~ spl14_12 ),
inference(forward_subsumption_resolution,[],[f499,f242]) ).
fof(f502,plain,
~ spl14_12,
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f504,plain,
( ! [X0] :
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| doDivides0(xp,X0)
| sP1(xm,xp)
| sdtpldt0(xn,xm) = sdtpldt0(X0,xm)
| ~ aNaturalNumber0(xm)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl14_16 ),
inference(resolution,[],[f490,f187]) ).
fof(f506,plain,
( ! [X0] :
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| doDivides0(xp,X0)
| sP1(xm,xp)
| sdtpldt0(xn,xm) = sdtpldt0(X0,xm)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn) )
| ~ spl14_16 ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f509,plain,
( ! [X0] :
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| doDivides0(xp,X0)
| sP1(xm,xp)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn) )
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f506,f188]) ).
fof(f512,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| doDivides0(xp,X0)
| sP1(xm,xp)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn) )
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f509,f221]) ).
fof(f530,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,xm))
| doDivides0(xp,X0)
| sP1(xm,xp)
| xn = X0
| ~ sdtlseqdt0(X0,xn) )
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f512,f222]) ).
fof(f533,definition,
( spl14_22
<=> sP1(xm,xp) ),
introduced(definition,[new_symbols(definition,[spl14_22])],[avatar_definition]) ).
fof(f534,plain,
( sP1(xm,xp)
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f536,definition,
( spl14_23
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| xn = X0
| doDivides0(xp,X0)
| ~ doDivides0(xp,sdtasdt0(X0,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl14_23])],[avatar_definition]) ).
fof(f537,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| xn = X0
| doDivides0(xp,X0)
| ~ doDivides0(xp,sdtasdt0(X0,xm)) )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f538,plain,
( spl14_22
| spl14_23
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f530,f489,f536,f533]) ).
fof(f547,plain,
( doDivides0(xp,xm)
| ~ spl14_22 ),
inference(resolution,[],[f534,f223]) ).
fof(f549,plain,
( $false
| ~ spl14_22 ),
inference(forward_subsumption_resolution,[],[f547,f260]) ).
fof(f550,plain,
~ spl14_22,
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f552,plain,
( ~ aNaturalNumber0(xr)
| xn = xr
| doDivides0(xp,xr)
| ~ doDivides0(xp,sdtasdt0(xr,xm))
| ~ spl14_23 ),
inference(resolution,[],[f537,f253]) ).
fof(f556,plain,
( xn = xr
| doDivides0(xp,xr)
| ~ doDivides0(xp,sdtasdt0(xr,xm))
| ~ spl14_23 ),
inference(forward_subsumption_resolution,[],[f552,f252]) ).
fof(f561,plain,
( doDivides0(xp,xr)
| ~ doDivides0(xp,sdtasdt0(xr,xm))
| ~ spl14_23 ),
inference(forward_subsumption_resolution,[],[f556,f256]) ).
fof(f562,plain,
( ~ doDivides0(xp,sdtasdt0(xr,xm))
| ~ spl14_23 ),
inference(forward_subsumption_resolution,[],[f561,f262]) ).
fof(f563,plain,
( $false
| ~ spl14_23 ),
inference(forward_subsumption_resolution,[],[f562,f257]) ).
fof(f564,plain,
~ spl14_23,
inference(avatar_contradiction_clause,[],[f563]) ).
cnf(s11,plain,
( spl14_12
| ~ spl14_15
| spl14_16 ),
inference(sat_conversion,[],[f491]) ).
cnf(s13,plain,
spl14_15,
inference(sat_conversion,[],[f497]) ).
cnf(s15,plain,
~ spl14_12,
inference(sat_conversion,[],[f502]) ).
cnf(s17,plain,
( ~ spl14_16
| spl14_22
| spl14_23 ),
inference(sat_conversion,[],[f538]) ).
cnf(s20,plain,
~ spl14_22,
inference(sat_conversion,[],[f550]) ).
cnf(s23,plain,
~ spl14_23,
inference(sat_conversion,[],[f564]) ).
cnf(s24,plain,
~ spl14_16,
inference(rat,[],[s17,s23,s20]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s11,s24,s13,s15]) ).
fof(f565,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM493+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:13:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.51/1.95 % (3846842)Detected formulas, will run a generic FOF schedule.
% 6.51/1.95 % (3846853)dis-21_1_sil=8000:lcm=predicate:random_seed=3534525855: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)
% 6.51/1.95 % (3846848)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=2339906958:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.51/1.95 % (3846847)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=1435384757:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.51/1.95 % (3846850)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4168228396:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.51/1.95 % (3846851)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1245695191:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.51/1.95 % (3846849)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=3871410632:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.51/1.95 % (3846853)Instruction limit reached!
% 6.51/1.95 % (3846853)------------------------------
% 6.51/1.95 % (3846853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846853)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846853)Termination reason: Instruction limit
% 6.51/1.95 % (3846853)Termination phase: Saturation
% 6.51/1.95 % (3846853)Time elapsed: 0.043 s
% 6.51/1.95 % (3846853)Peak memory usage: 90 MB
% 6.51/1.95 % (3846853)Instructions burned: 132 (million)
% 6.51/1.95 % (3846852)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=340312584:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.51/1.95 % (3846850)Instruction limit reached!
% 6.51/1.95 % (3846850)------------------------------
% 6.51/1.95 % (3846850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846850)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846850)Termination reason: Instruction limit
% 6.51/1.95 % (3846850)Termination phase: Saturation
% 6.51/1.95 % (3846850)Time elapsed: 0.062 s
% 6.51/1.95 % (3846850)Peak memory usage: 89 MB
% 6.51/1.95 % (3846850)Instructions burned: 111 (million)
% 6.51/1.95 % (3846851)Instruction limit reached!
% 6.51/1.95 % (3846851)------------------------------
% 6.51/1.95 % (3846851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846851)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846851)Termination reason: Instruction limit
% 6.51/1.95 % (3846851)Termination phase: Saturation
% 6.51/1.95 % (3846851)Time elapsed: 0.071 s
% 6.51/1.95 % (3846851)Peak memory usage: 89 MB
% 6.51/1.95 % (3846851)Instructions burned: 120 (million)
% 6.51/1.95 % (3846860)lrs+10_1_sil=8000:sp=occurrence:random_seed=400463313:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.51/1.95 % (3846852)Instruction limit reached!
% 6.51/1.95 % (3846852)------------------------------
% 6.51/1.95 % (3846852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846852)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846852)Termination reason: Instruction limit
% 6.51/1.95 % (3846852)Termination phase: Saturation
% 6.51/1.95 % (3846852)Time elapsed: 0.092 s
% 6.51/1.95 % (3846852)Peak memory usage: 90 MB
% 6.51/1.95 % (3846852)Instructions burned: 140 (million)
% 6.51/1.95 % (3846860)Instruction limit reached!
% 6.51/1.95 % (3846860)------------------------------
% 6.51/1.95 % (3846860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846860)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846860)Termination reason: Instruction limit
% 6.51/1.95 % (3846860)Termination phase: Saturation
% 6.51/1.95 % (3846860)Time elapsed: 0.086 s
% 6.51/1.95 % (3846860)Peak memory usage: 91 MB
% 6.51/1.95 % (3846860)Instructions burned: 286 (million)
% 6.51/1.95 % (3846862)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1998234223:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.51/1.95 % (3846863)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3828011462:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.51/1.95 % (3846865)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=2258321523:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.51/1.95 % (3846862)Instruction limit reached!
% 6.51/1.95 % (3846862)------------------------------
% 6.51/1.95 % (3846862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846862)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846862)Termination reason: Instruction limit
% 6.51/1.95 % (3846862)Termination phase: Saturation
% 6.51/1.95 % (3846862)Time elapsed: 0.074 s
% 6.51/1.95 % (3846862)Peak memory usage: 91 MB
% 6.51/1.95 % (3846862)Instructions burned: 158 (million)
% 6.51/1.95 % (3846867)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2858139142:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.51/1.95 % (3846867)Instruction limit reached!
% 6.51/1.95 % (3846867)------------------------------
% 6.51/1.95 % (3846867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846867)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846867)Termination reason: Instruction limit
% 6.51/1.95 % (3846867)Termination phase: Saturation
% 6.51/1.95 % (3846867)Time elapsed: 0.089 s
% 6.51/1.95 % (3846867)Peak memory usage: 90 MB
% 6.51/1.95 % (3846867)Instructions burned: 297 (million)
% 6.51/1.95 % (3846865)Instruction limit reached!
% 6.51/1.95 % (3846865)------------------------------
% 6.51/1.95 % (3846865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846865)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846865)Termination reason: Instruction limit
% 6.51/1.95 % (3846865)Termination phase: Saturation
% 6.51/1.95 % (3846865)Time elapsed: 0.115 s
% 6.51/1.95 % (3846865)Peak memory usage: 94 MB
% 6.51/1.95 % (3846865)Instructions burned: 249 (million)
% 6.51/1.95 % (3846871)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=732270286:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.51/1.95 % (3846863)Instruction limit reached!
% 6.51/1.95 % (3846863)------------------------------
% 6.51/1.95 % (3846863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846863)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846863)Termination reason: Instruction limit
% 6.51/1.95 % (3846863)Termination phase: Saturation
% 6.51/1.95 % (3846863)Time elapsed: 0.202 s
% 6.51/1.95 % (3846863)Peak memory usage: 92 MB
% 6.51/1.95 % (3846863)Instructions burned: 326 (million)
% 6.51/1.95 % (3846872)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2462542488:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.51/1.95 % (3846872)Instruction limit reached!
% 6.51/1.95 % (3846872)------------------------------
% 6.51/1.95 % (3846872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846872)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846872)Termination reason: Instruction limit
% 6.51/1.95 % (3846872)Termination phase: Saturation
% 6.51/1.95 % (3846872)Time elapsed: 0.038 s
% 6.51/1.95 % (3846872)Peak memory usage: 91 MB
% 6.51/1.95 % (3846872)Instructions burned: 115 (million)
% 6.51/1.95 % (3846873)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=265153929:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.51/1.95 % (3846875)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=89970828:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.51/1.95 % (3846873)Instruction limit reached!
% 6.51/1.95 % (3846873)------------------------------
% 6.51/1.95 % (3846873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846873)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846873)Termination reason: Instruction limit
% 6.51/1.95 % (3846873)Termination phase: Saturation
% 6.51/1.95 % (3846873)Time elapsed: 0.064 s
% 6.51/1.95 % (3846873)Peak memory usage: 89 MB
% 6.51/1.95 % (3846873)Instructions burned: 128 (million)
% 6.51/1.95 % (3846877)lrs+10_1_sil=8000:sp=occurrence:random_seed=3855467393:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.51/1.95 % (3846875)Instruction limit reached!
% 6.51/1.95 % (3846875)------------------------------
% 6.51/1.95 % (3846875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846875)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846875)Termination reason: Instruction limit
% 6.51/1.95 % (3846875)Termination phase: Saturation
% 6.51/1.95 % (3846875)Time elapsed: 0.067 s
% 6.51/1.95 % (3846875)Peak memory usage: 89 MB
% 6.51/1.95 % (3846875)Instructions burned: 116 (million)
% 6.51/1.95 % (3846848)First to succeed.
% 6.51/1.95 % (3846848)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3846842"
% 6.51/1.95 % (3846880)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=375164284:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.51/1.95 % (3846882)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3053604466:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.51/1.95 % (3846847)Also succeeded, but the first one will report.
% 6.51/1.95 % (3846877)Instruction limit reached!
% 6.51/1.95 % (3846877)------------------------------
% 6.51/1.95 % (3846877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.95 % (3846877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.95 % (3846877)CaDiCaL version: 2.1.3
% 6.51/1.95 % (3846877)Termination reason: Instruction limit
% 6.51/1.95 % (3846877)Termination phase: Saturation
% 6.51/1.95 % (3846877)Time elapsed: 0.274 s
% 6.51/1.95 % (3846877)Peak memory usage: 98 MB
% 6.51/1.95 % (3846877)Instructions burned: 910 (million)
% 6.51/1.95 % (3846848)Refutation found. Thanks to Tanya!
% 6.51/1.95 % SZS status Theorem for theBenchmark
% 6.51/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.21/2.05 % (3846848)------------------------------
% 8.21/2.05 % (3846848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.21/2.05 % (3846848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/2.05 % (3846848)CaDiCaL version: 2.1.3
% 8.21/2.05 % (3846848)Termination reason: Refutation
% 8.21/2.05 % (3846848)Time elapsed: 0.670 s
% 8.21/2.05 % (3846848)Peak memory usage: 130 MB
% 8.21/2.05 % (3846848)Instructions burned: 994 (million)
% 8.21/2.05 % (3846848)------------------------------
% 8.21/2.05 % (3846848)------------------------------
% 8.21/2.05 % (3846842)Success in time 1.093 s
% 8.21/2.05 % Vampire exiting
%------------------------------------------------------------------------------