%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM495+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 12:15:27 PM UTC 2026
% Result : Theorem 7.13s 1.95s
% Output : Refutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 103 ( 22 unt; 8 def)
% Number of atoms : 462 ( 114 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 543 ( 184 ~; 188 |; 152 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 72 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
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(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,axiom,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2062) ).
fof(f47,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(f48,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)],[f47]) ).
fof(f51,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(f52,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(f53,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(rectify,[],[f48]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f54]) ).
fof(f98,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f99,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f98]) ).
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(ennf_transformation,[],[f51]) ).
fof(f119,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,[],[f118]) ).
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(ennf_transformation,[],[f52]) ).
fof(f121,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,[],[f120]) ).
fof(f122,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != xr )
& ~ doDivides0(xp,xr)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f53]) ).
fof(f123,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(f124,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(f125,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,[],[f119,f124,f123]) ).
fof(f141,plain,
! [X1,X2] :
( ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ sP1(X1,X2) ),
inference(nnf_transformation,[],[f124]) ).
fof(f142,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f141]) ).
fof(f143,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))],[f142]) ).
fof(f144,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,[],[f123]) ).
fof(f145,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,[],[f144]) ).
fof(f146,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))],[f145]) ).
fof(f147,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,[],[f125]) ).
fof(f148,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))],[f147]) ).
fof(f149,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)],[f121]) ).
fof(f152,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(f153,plain,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(sK14)
& sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),sK14)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f46]) ).
fof(f157,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f200,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f222,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f223,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f224,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f225,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f228,plain,
! [X0] :
( ~ sP0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f235,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,[],[f148]) ).
fof(f244,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f149]) ).
fof(f254,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f259,plain,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f152]) ).
fof(f262,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f153]) ).
fof(f265,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp),
inference(cnf_transformation,[],[f153]) ).
fof(f266,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f122]) ).
fof(f268,plain,
~ doDivides0(xp,xr),
inference(cnf_transformation,[],[f122]) ).
fof(f310,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
| iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(resolution,[],[f200,f262]) ).
fof(f313,plain,
( iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f310,f265]) ).
fof(f316,definition,
( spl16_5
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f318,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| spl16_5 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f320,definition,
( spl16_6
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f322,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| spl16_6 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f324,definition,
( spl16_7
<=> iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f326,plain,
( iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f327,plain,
( ~ spl16_5
| ~ spl16_6
| spl16_7 ),
inference(avatar_split_clause,[],[f313,f324,f320,f316]) ).
fof(f339,definition,
( spl16_9
<=> aNaturalNumber0(sdtpldt0(xr,xm)) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f341,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| spl16_9 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f396,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl16_5 ),
inference(resolution,[],[f157,f318]) ).
fof(f397,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| spl16_6 ),
inference(resolution,[],[f157,f322]) ).
fof(f399,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| spl16_6 ),
inference(forward_subsumption_resolution,[],[f397,f222]) ).
fof(f400,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl16_5 ),
inference(forward_subsumption_resolution,[],[f396,f222]) ).
fof(f401,plain,
( ~ spl16_9
| spl16_6 ),
inference(avatar_split_clause,[],[f399,f320,f339]) ).
fof(f402,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl16_5 ),
inference(resolution,[],[f400,f157]) ).
fof(f403,plain,
( ~ aNaturalNumber0(xm)
| spl16_5 ),
inference(forward_subsumption_resolution,[],[f402,f224]) ).
fof(f404,plain,
( $false
| spl16_5 ),
inference(forward_subsumption_resolution,[],[f403,f223]) ).
fof(f405,plain,
spl16_5,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f439,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| spl16_9 ),
inference(resolution,[],[f341,f157]) ).
fof(f440,plain,
( ~ aNaturalNumber0(xm)
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f439,f254]) ).
fof(f441,plain,
( $false
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f440,f223]) ).
fof(f442,plain,
spl16_9,
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f450,plain,
( sP1(xm,xp)
| doDivides0(xp,xr)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl16_7 ),
inference(resolution,[],[f326,f235]) ).
fof(f451,plain,
( sP1(xm,xp)
| sP0(xp)
| ~ doDivides0(xp,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl16_7 ),
inference(forward_subsumption_resolution,[],[f450,f268]) ).
fof(f452,plain,
( sP1(xm,xp)
| sP0(xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl16_7 ),
inference(forward_subsumption_resolution,[],[f451,f259]) ).
fof(f453,plain,
( sP1(xm,xp)
| sP0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl16_7 ),
inference(forward_subsumption_resolution,[],[f452,f254]) ).
fof(f454,plain,
( sP1(xm,xp)
| sP0(xp)
| ~ aNaturalNumber0(xp)
| ~ spl16_7 ),
inference(forward_subsumption_resolution,[],[f453,f223]) ).
fof(f455,plain,
( sP1(xm,xp)
| sP0(xp)
| ~ spl16_7 ),
inference(forward_subsumption_resolution,[],[f454,f222]) ).
fof(f457,definition,
( spl16_21
<=> sP0(xp) ),
introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).
fof(f459,plain,
( sP0(xp)
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f461,definition,
( spl16_22
<=> sP1(xm,xp) ),
introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).
fof(f463,plain,
( sP1(xm,xp)
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,plain,
( spl16_21
| spl16_22
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f455,f324,f461,f457]) ).
fof(f1276,plain,
( ~ isPrime0(xp)
| ~ spl16_21 ),
inference(resolution,[],[f228,f459]) ).
fof(f1278,plain,
( $false
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f1276,f244]) ).
fof(f1279,plain,
~ spl16_21,
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1319,plain,
( doDivides0(xp,xm)
| ~ spl16_22 ),
inference(resolution,[],[f463,f225]) ).
fof(f1320,plain,
( $false
| ~ spl16_22 ),
inference(forward_subsumption_resolution,[],[f1319,f266]) ).
fof(f1321,plain,
~ spl16_22,
inference(avatar_contradiction_clause,[],[f1320]) ).
cnf(s5,plain,
( ~ spl16_5
| ~ spl16_6
| spl16_7 ),
inference(sat_conversion,[],[f327]) ).
cnf(s10,plain,
( spl16_6
| ~ spl16_9 ),
inference(sat_conversion,[],[f401]) ).
cnf(s11,plain,
spl16_5,
inference(sat_conversion,[],[f405]) ).
cnf(s13,plain,
spl16_9,
inference(sat_conversion,[],[f442]) ).
cnf(s14,plain,
( ~ spl16_7
| spl16_21
| spl16_22 ),
inference(sat_conversion,[],[f464]) ).
cnf(s27,plain,
~ spl16_21,
inference(sat_conversion,[],[f1279]) ).
cnf(s31,plain,
~ spl16_22,
inference(sat_conversion,[],[f1321]) ).
cnf(s33,plain,
~ spl16_7,
inference(rat,[],[s14,s31,s27]) ).
cnf(s34,plain,
spl16_6,
inference(rat,[],[s10,s13]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s5,s33,s34,s11]) ).
fof(f1322,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM495+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 20:13:37 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 7.13/1.95 % (3847265)Detected formulas, will run a generic FOF schedule.
% 7.13/1.95 % (3847271)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=1210241386:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.13/1.95 % (3847275)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2283770719:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.13/1.95 % (3847272)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=1597049022:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.13/1.95 % (3847273)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3218108069:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.13/1.95 % (3847274)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3701672498:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.13/1.95 % (3847270)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=3291643737:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.13/1.95 % (3847276)dis-21_1_sil=8000:lcm=predicate:random_seed=3254962803: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)
% 7.13/1.95 % (3847273)Instruction limit reached!
% 7.13/1.95 % (3847273)------------------------------
% 7.13/1.95 % (3847273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847273)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847273)Termination reason: Instruction limit
% 7.13/1.95 % (3847273)Termination phase: Saturation
% 7.13/1.95 % (3847273)Time elapsed: 0.060 s
% 7.13/1.95 % (3847273)Peak memory usage: 89 MB
% 7.13/1.95 % (3847273)Instructions burned: 111 (million)
% 7.13/1.95 % (3847274)Instruction limit reached!
% 7.13/1.95 % (3847274)------------------------------
% 7.13/1.95 % (3847274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847274)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847274)Termination reason: Instruction limit
% 7.13/1.95 % (3847274)Termination phase: Saturation
% 7.13/1.95 % (3847274)Time elapsed: 0.069 s
% 7.13/1.95 % (3847274)Peak memory usage: 89 MB
% 7.13/1.95 % (3847274)Instructions burned: 119 (million)
% 7.13/1.95 % (3847276)Instruction limit reached!
% 7.13/1.95 % (3847276)------------------------------
% 7.13/1.95 % (3847276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847276)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847276)Termination reason: Instruction limit
% 7.13/1.95 % (3847276)Termination phase: Saturation
% 7.13/1.95 % (3847276)Time elapsed: 0.077 s
% 7.13/1.95 % (3847276)Peak memory usage: 90 MB
% 7.13/1.95 % (3847276)Instructions burned: 129 (million)
% 7.13/1.95 % (3847275)Instruction limit reached!
% 7.13/1.95 % (3847275)------------------------------
% 7.13/1.95 % (3847275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847275)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847275)Termination reason: Instruction limit
% 7.13/1.95 % (3847275)Termination phase: Saturation
% 7.13/1.95 % (3847275)Time elapsed: 0.096 s
% 7.13/1.95 % (3847275)Peak memory usage: 90 MB
% 7.13/1.95 % (3847275)Instructions burned: 139 (million)
% 7.13/1.95 % (3847284)lrs+10_1_sil=8000:sp=occurrence:random_seed=3391712967:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.13/1.95 % (3847286)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2654390205:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.13/1.95 % (3847287)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=2314057232:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.13/1.95 % (3847285)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2751417896:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.13/1.95 % (3847285)Instruction limit reached!
% 7.13/1.95 % (3847285)------------------------------
% 7.13/1.95 % (3847285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847285)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847285)Termination reason: Instruction limit
% 7.13/1.95 % (3847285)Termination phase: Saturation
% 7.13/1.95 % (3847285)Time elapsed: 0.071 s
% 7.13/1.95 % (3847285)Peak memory usage: 91 MB
% 7.13/1.95 % (3847285)Instructions burned: 158 (million)
% 7.13/1.95 % (3847287)Instruction limit reached!
% 7.13/1.95 % (3847287)------------------------------
% 7.13/1.95 % (3847287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847287)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847287)Termination reason: Instruction limit
% 7.13/1.95 % (3847287)Termination phase: Saturation
% 7.13/1.95 % (3847287)Time elapsed: 0.099 s
% 7.13/1.95 % (3847287)Peak memory usage: 94 MB
% 7.13/1.95 % (3847287)Instructions burned: 250 (million)
% 7.13/1.95 % (3847284)Instruction limit reached!
% 7.13/1.95 % (3847284)------------------------------
% 7.13/1.95 % (3847284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847284)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847284)Termination reason: Instruction limit
% 7.13/1.95 % (3847284)Termination phase: Saturation
% 7.13/1.95 % (3847284)Time elapsed: 0.160 s
% 7.13/1.95 % (3847284)Peak memory usage: 91 MB
% 7.13/1.95 % (3847284)Instructions burned: 286 (million)
% 7.13/1.95 % (3847293)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1698969714:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.13/1.95 % (3847286)Instruction limit reached!
% 7.13/1.95 % (3847286)------------------------------
% 7.13/1.95 % (3847286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847286)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847286)Termination reason: Instruction limit
% 7.13/1.95 % (3847286)Termination phase: Saturation
% 7.13/1.95 % (3847286)Time elapsed: 0.204 s
% 7.13/1.95 % (3847286)Peak memory usage: 92 MB
% 7.13/1.95 % (3847286)Instructions burned: 326 (million)
% 7.13/1.95 % (3847292)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=423419392:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.13/1.95 % (3847294)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3454501236:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.13/1.95 % (3847296)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2917332742:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.13/1.95 % (3847294)Instruction limit reached!
% 7.13/1.95 % (3847294)------------------------------
% 7.13/1.95 % (3847294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847294)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847294)Termination reason: Instruction limit
% 7.13/1.95 % (3847294)Termination phase: Saturation
% 7.13/1.95 % (3847294)Time elapsed: 0.070 s
% 7.13/1.95 % (3847294)Peak memory usage: 91 MB
% 7.13/1.95 % (3847294)Instructions burned: 113 (million)
% 7.13/1.95 % (3847292)Instruction limit reached!
% 7.13/1.95 % (3847292)------------------------------
% 7.13/1.95 % (3847292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847292)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847292)Termination reason: Instruction limit
% 7.13/1.95 % (3847292)Termination phase: Saturation
% 7.13/1.95 % (3847292)Time elapsed: 0.164 s
% 7.13/1.95 % (3847292)Peak memory usage: 89 MB
% 7.13/1.95 % (3847292)Instructions burned: 295 (million)
% 7.13/1.95 % (3847296)Instruction limit reached!
% 7.13/1.95 % (3847296)------------------------------
% 7.13/1.95 % (3847296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847296)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847296)Termination reason: Instruction limit
% 7.13/1.95 % (3847296)Termination phase: Saturation
% 7.13/1.95 % (3847296)Time elapsed: 0.063 s
% 7.13/1.95 % (3847296)Peak memory usage: 89 MB
% 7.13/1.95 % (3847296)Instructions burned: 127 (million)
% 7.13/1.95 % (3847300)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2316373139:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 7.13/1.95 % (3847270)First to succeed.
% 7.13/1.95 % (3847270)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3847265"
% 7.13/1.95 % (3847301)lrs+10_1_sil=8000:sp=occurrence:random_seed=2544277360:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.13/1.95 % (3847300)Instruction limit reached!
% 7.13/1.95 % (3847300)------------------------------
% 7.13/1.95 % (3847300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.95 % (3847300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.95 % (3847300)CaDiCaL version: 2.1.3
% 7.13/1.95 % (3847300)Termination reason: Instruction limit
% 7.13/1.95 % (3847300)Termination phase: Saturation
% 7.13/1.95 % (3847300)Time elapsed: 0.065 s
% 7.13/1.95 % (3847300)Peak memory usage: 89 MB
% 7.13/1.95 % (3847300)Instructions burned: 115 (million)
% 7.13/1.95 % (3847302)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3835849925:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.13/1.95 % (3847293)Also succeeded, but the first one will report.
% 7.13/1.95 % (3847305)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2727042648:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.13/1.95 % (3847272)Also succeeded, but the first one will report.
% 7.13/1.95 % (3847270)Refutation found. Thanks to Tanya!
% 7.13/1.95 % SZS status Theorem for theBenchmark
% 7.13/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.50/2.15 % (3847270)------------------------------
% 8.50/2.15 % (3847270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.15 % (3847270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.15 % (3847270)CaDiCaL version: 2.1.3
% 8.50/2.15 % (3847270)Termination reason: Refutation
% 8.50/2.15 % (3847270)Time elapsed: 0.708 s
% 8.50/2.15 % (3847270)Peak memory usage: 131 MB
% 8.50/2.15 % (3847270)Instructions burned: 1056 (million)
% 8.50/2.15 % (3847270)------------------------------
% 8.50/2.15 % (3847270)------------------------------
% 8.50/2.15 % (3847265)Success in time 1.118 s
% 8.50/2.15 % Vampire exiting
%------------------------------------------------------------------------------