%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM508+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 : n026.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 12:15:30 PM UTC 2026
% Result : Theorem 4.27s 1.81s
% Output : Refutation 7.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 21 unt; 7 def)
% Number of atoms : 464 ( 116 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 547 ( 181 ~; 185 |; 163 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn 72 !; 44 ?)
% 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(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/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X0) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f51,axiom,
( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2478) ).
fof(f52,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f53,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
| doDivides0(xr,xm) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f56,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(f59,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(f60,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f49]) ).
fof(f61,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
inference(rectify,[],[f53]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f62]) ).
fof(f106,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f107,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f106]) ).
fof(f126,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,[],[f56]) ).
fof(f127,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,[],[f126]) ).
fof(f133,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,[],[f59]) ).
fof(f134,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,[],[f133]) ).
fof(f135,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xr,X0) )
& ~ doDivides0(xr,xn)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xr,X1) )
& ~ doDivides0(xr,xm) ),
inference(ennf_transformation,[],[f61]) ).
fof(f136,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(f137,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(f138,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,[],[f127,f137,f136]) ).
fof(f154,plain,
! [X1,X2] :
( ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ sP1(X1,X2) ),
inference(nnf_transformation,[],[f137]) ).
fof(f155,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
& doDivides0(X1,X0) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f154]) ).
fof(f156,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))],[f155]) ).
fof(f157,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,[],[f136]) ).
fof(f158,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,[],[f157]) ).
fof(f159,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))],[f158]) ).
fof(f160,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,[],[f138]) ).
fof(f161,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))],[f160]) ).
fof(f164,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK13)
& xk = sdtasdt0(xr,sK13)
& 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,[sK13]),skolemize(X0,sK13)],[f134]) ).
fof(f165,plain,
( aNaturalNumber0(sK14)
& xk = sdtpldt0(xr,sK14)
& aNaturalNumber0(sK15)
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK15)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f60]) ).
fof(f167,plain,
( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(sK17)
& sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),sK17)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f51]) ).
fof(f171,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f214,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f236,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f237,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f238,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f242,plain,
! [X0] :
( ~ sP0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f249,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,[],[f161]) ).
fof(f282,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f164]) ).
fof(f290,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f164]) ).
fof(f291,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f165]) ).
fof(f300,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f167]) ).
fof(f303,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr),
inference(cnf_transformation,[],[f167]) ).
fof(f304,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f135]) ).
fof(f306,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f135]) ).
fof(f347,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
| iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(resolution,[],[f214,f300]) ).
fof(f348,plain,
( iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f347,f303]) ).
fof(f350,definition,
( spl19_5
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f352,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| spl19_5 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl19_6
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr)) ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f356,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| spl19_6 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl19_7
<=> iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl19_7])],[avatar_definition]) ).
fof(f360,plain,
( iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( ~ spl19_5
| ~ spl19_6
| spl19_7 ),
inference(avatar_split_clause,[],[f348,f358,f354,f350]) ).
fof(f396,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl19_5 ),
inference(resolution,[],[f171,f352]) ).
fof(f399,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl19_5 ),
inference(forward_subsumption_resolution,[],[f396,f236]) ).
fof(f402,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xr)
| spl19_6 ),
inference(resolution,[],[f356,f171]) ).
fof(f403,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl19_5 ),
inference(resolution,[],[f399,f171]) ).
fof(f404,plain,
( ~ aNaturalNumber0(xm)
| spl19_5 ),
inference(forward_subsumption_resolution,[],[f403,f238]) ).
fof(f405,plain,
( $false
| spl19_5 ),
inference(forward_subsumption_resolution,[],[f404,f237]) ).
fof(f406,plain,
spl19_5,
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f407,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl19_6 ),
inference(forward_subsumption_resolution,[],[f402,f290]) ).
fof(f408,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl19_6 ),
inference(resolution,[],[f407,f171]) ).
fof(f409,plain,
( ~ aNaturalNumber0(xm)
| spl19_6 ),
inference(forward_subsumption_resolution,[],[f408,f238]) ).
fof(f410,plain,
( $false
| spl19_6 ),
inference(forward_subsumption_resolution,[],[f409,f237]) ).
fof(f411,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f412,plain,
( sP1(xm,xr)
| doDivides0(xr,xn)
| sP0(xr)
| ~ doDivides0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ spl19_7 ),
inference(resolution,[],[f249,f360]) ).
fof(f417,plain,
( sP1(xm,xr)
| sP0(xr)
| ~ doDivides0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ spl19_7 ),
inference(forward_subsumption_resolution,[],[f412,f306]) ).
fof(f420,plain,
( sP1(xm,xr)
| sP0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ spl19_7 ),
inference(forward_subsumption_resolution,[],[f417,f291]) ).
fof(f446,plain,
( sP1(xm,xr)
| sP0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ spl19_7 ),
inference(forward_subsumption_resolution,[],[f420,f238]) ).
fof(f447,plain,
( sP1(xm,xr)
| sP0(xr)
| ~ aNaturalNumber0(xr)
| ~ spl19_7 ),
inference(forward_subsumption_resolution,[],[f446,f237]) ).
fof(f448,plain,
( sP1(xm,xr)
| sP0(xr)
| ~ spl19_7 ),
inference(forward_subsumption_resolution,[],[f447,f290]) ).
fof(f450,definition,
( spl19_16
<=> sP0(xr) ),
introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).
fof(f452,plain,
( sP0(xr)
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f454,definition,
( spl19_17
<=> sP1(xm,xr) ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f456,plain,
( sP1(xm,xr)
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,plain,
( spl19_16
| spl19_17
| ~ spl19_7 ),
inference(avatar_split_clause,[],[f448,f358,f454,f450]) ).
fof(f688,plain,
( ~ isPrime0(xr)
| ~ spl19_16 ),
inference(resolution,[],[f242,f452]) ).
fof(f689,plain,
( $false
| ~ spl19_16 ),
inference(forward_subsumption_resolution,[],[f688,f282]) ).
fof(f690,plain,
~ spl19_16,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f732,plain,
( doDivides0(xr,xm)
| ~ spl19_17 ),
inference(resolution,[],[f239,f456]) ).
fof(f733,plain,
( $false
| ~ spl19_17 ),
inference(forward_subsumption_resolution,[],[f732,f304]) ).
fof(f734,plain,
~ spl19_17,
inference(avatar_contradiction_clause,[],[f733]) ).
cnf(s5,plain,
( ~ spl19_5
| ~ spl19_6
| spl19_7 ),
inference(sat_conversion,[],[f361]) ).
cnf(s8,plain,
spl19_5,
inference(sat_conversion,[],[f406]) ).
cnf(s9,plain,
spl19_6,
inference(sat_conversion,[],[f411]) ).
cnf(s11,plain,
( ~ spl19_7
| spl19_16
| spl19_17 ),
inference(sat_conversion,[],[f457]) ).
cnf(s22,plain,
~ spl19_16,
inference(sat_conversion,[],[f690]) ).
cnf(s24,plain,
~ spl19_17,
inference(sat_conversion,[],[f734]) ).
cnf(s25,plain,
~ spl19_7,
inference(rat,[],[s11,s24,s22]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s5,s25,s9,s8]) ).
fof(f735,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM508+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n026.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 20:18:27 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 4.27/1.81 % (3181533)Detected formulas, will run a generic FOF schedule.
% 4.27/1.81 % (3181540)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=3517286271:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.27/1.81 % (3181539)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=2463591599:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.27/1.81 % (3181543)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1339567528:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.27/1.81 % (3181538)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=3867262314:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.27/1.81 % (3181541)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1454948584:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.27/1.81 % (3181542)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=943250743:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.27/1.81 % (3181544)dis-21_1_sil=8000:lcm=predicate:random_seed=2618312512: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)
% 4.27/1.81 % (3181541)Instruction limit reached!
% 4.27/1.81 % (3181541)------------------------------
% 4.27/1.81 % (3181541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181541)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181541)Termination reason: Instruction limit
% 4.27/1.81 % (3181541)Termination phase: Saturation
% 4.27/1.81 % (3181541)Time elapsed: 0.064 s
% 4.27/1.81 % (3181541)Peak memory usage: 89 MB
% 4.27/1.81 % (3181541)Instructions burned: 110 (million)
% 4.27/1.81 % (3181542)Instruction limit reached!
% 4.27/1.81 % (3181542)------------------------------
% 4.27/1.81 % (3181542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181542)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181542)Termination reason: Instruction limit
% 4.27/1.81 % (3181542)Termination phase: Saturation
% 4.27/1.81 % (3181542)Time elapsed: 0.067 s
% 4.27/1.81 % (3181542)Peak memory usage: 88 MB
% 4.27/1.81 % (3181542)Instructions burned: 119 (million)
% 4.27/1.81 % (3181543)Instruction limit reached!
% 4.27/1.81 % (3181543)------------------------------
% 4.27/1.81 % (3181543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181543)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181543)Termination reason: Instruction limit
% 4.27/1.81 % (3181543)Termination phase: Saturation
% 4.27/1.81 % (3181543)Time elapsed: 0.090 s
% 4.27/1.81 % (3181543)Peak memory usage: 90 MB
% 4.27/1.81 % (3181543)Instructions burned: 140 (million)
% 4.27/1.81 % (3181544)Instruction limit reached!
% 4.27/1.81 % (3181544)------------------------------
% 4.27/1.81 % (3181544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181544)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181544)Termination reason: Instruction limit
% 4.27/1.81 % (3181544)Termination phase: Saturation
% 4.27/1.81 % (3181544)Time elapsed: 0.078 s
% 4.27/1.81 % (3181544)Peak memory usage: 91 MB
% 4.27/1.81 % (3181544)Instructions burned: 130 (million)
% 4.27/1.81 % (3181552)lrs+10_1_sil=8000:sp=occurrence:random_seed=230609178:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.27/1.81 % (3181554)lrs+1011_1_sil=32000:sp=occurrence:random_seed=643458707:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.27/1.81 % (3181553)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4270455106:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.27/1.81 % (3181555)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=689746689:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.27/1.81 % (3181553)Instruction limit reached!
% 4.27/1.81 % (3181553)------------------------------
% 4.27/1.81 % (3181553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181553)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181553)Termination reason: Instruction limit
% 4.27/1.81 % (3181553)Termination phase: Saturation
% 4.27/1.81 % (3181553)Time elapsed: 0.073 s
% 4.27/1.81 % (3181553)Peak memory usage: 92 MB
% 4.27/1.81 % (3181553)Instructions burned: 163 (million)
% 4.27/1.81 % (3181552)Instruction limit reached!
% 4.27/1.81 % (3181552)------------------------------
% 4.27/1.81 % (3181552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181552)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181552)Termination reason: Instruction limit
% 4.27/1.81 % (3181552)Termination phase: Saturation
% 4.27/1.81 % (3181552)Time elapsed: 0.114 s
% 4.27/1.81 % (3181552)Peak memory usage: 91 MB
% 4.27/1.81 % (3181552)Instructions burned: 287 (million)
% 4.27/1.81 % (3181555)Instruction limit reached!
% 4.27/1.81 % (3181555)------------------------------
% 4.27/1.81 % (3181555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181555)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181555)Termination reason: Instruction limit
% 4.27/1.81 % (3181555)Termination phase: Saturation
% 4.27/1.81 % (3181555)Time elapsed: 0.112 s
% 4.27/1.81 % (3181555)Peak memory usage: 94 MB
% 4.27/1.81 % (3181555)Instructions burned: 249 (million)
% 4.27/1.81 % (3181561)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2284082121:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.27/1.81 % (3181560)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1244778174:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.27/1.81 % (3181554)Instruction limit reached!
% 4.27/1.81 % (3181554)------------------------------
% 4.27/1.81 % (3181554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181554)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181554)Termination reason: Instruction limit
% 4.27/1.81 % (3181554)Termination phase: Saturation
% 4.27/1.81 % (3181554)Time elapsed: 0.201 s
% 4.27/1.81 % (3181554)Peak memory usage: 92 MB
% 4.27/1.81 % (3181554)Instructions burned: 325 (million)
% 4.27/1.81 % (3181562)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1626993856:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.27/1.81 % (3181562)Instruction limit reached!
% 4.27/1.81 % (3181562)------------------------------
% 4.27/1.81 % (3181562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181562)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181562)Termination reason: Instruction limit
% 4.27/1.81 % (3181562)Termination phase: Saturation
% 4.27/1.81 % (3181562)Time elapsed: 0.068 s
% 4.27/1.81 % (3181562)Peak memory usage: 91 MB
% 4.27/1.81 % (3181562)Instructions burned: 113 (million)
% 4.27/1.81 % (3181565)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2730756449:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.27/1.81 % (3181560)Instruction limit reached!
% 4.27/1.81 % (3181560)------------------------------
% 4.27/1.81 % (3181560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181560)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181560)Termination reason: Instruction limit
% 4.27/1.81 % (3181560)Termination phase: Saturation
% 4.27/1.81 % (3181560)Time elapsed: 0.163 s
% 4.27/1.81 % (3181560)Peak memory usage: 89 MB
% 4.27/1.81 % (3181560)Instructions burned: 295 (million)
% 4.27/1.81 % (3181565)Instruction limit reached!
% 4.27/1.81 % (3181565)------------------------------
% 4.27/1.81 % (3181565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181565)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181565)Termination reason: Instruction limit
% 4.27/1.81 % (3181565)Termination phase: Saturation
% 4.27/1.81 % (3181565)Time elapsed: 0.064 s
% 4.27/1.81 % (3181565)Peak memory usage: 89 MB
% 4.27/1.81 % (3181565)Instructions burned: 128 (million)
% 4.27/1.81 % (3181538)First to succeed.
% 4.27/1.81 % (3181538)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3181533"
% 4.27/1.81 % (3181539)Also succeeded, but the first one will report.
% 4.27/1.81 % (3181567)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1135023709:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 4.27/1.81 % (3181569)lrs+10_1_sil=8000:sp=occurrence:random_seed=3623702570:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 4.27/1.81 % (3181567)Instruction limit reached!
% 4.27/1.81 % (3181567)------------------------------
% 4.27/1.81 % (3181567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.81 % (3181567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.81 % (3181567)CaDiCaL version: 2.1.3
% 4.27/1.81 % (3181567)Termination reason: Instruction limit
% 4.27/1.81 % (3181567)Termination phase: Saturation
% 4.27/1.81 % (3181567)Time elapsed: 0.059 s
% 4.27/1.81 % (3181567)Peak memory usage: 89 MB
% 4.27/1.81 % (3181567)Instructions burned: 114 (million)
% 4.27/1.81 % (3181540)Also succeeded, but the first one will report.
% 4.27/1.81 % (3181570)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2359915245:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 4.27/1.81 % (3181538)Refutation found. Thanks to Tanya!
% 4.27/1.81 % SZS status Theorem for theBenchmark
% 4.27/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 7.11/2.00 % (3181538)------------------------------
% 7.11/2.00 % (3181538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/2.00 % (3181538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/2.00 % (3181538)CaDiCaL version: 2.1.3
% 7.11/2.00 % (3181538)Termination reason: Refutation
% 7.11/2.00 % (3181538)Time elapsed: 0.609 s
% 7.11/2.00 % (3181538)Peak memory usage: 130 MB
% 7.11/2.00 % (3181538)Instructions burned: 1012 (million)
% 7.11/2.00 % (3181538)------------------------------
% 7.11/2.00 % (3181538)------------------------------
% 7.11/2.00 % (3181533)Success in time 0.932 s
% 7.11/2.00 % Vampire exiting
%------------------------------------------------------------------------------