%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM518+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:15:33 PM UTC 2026
% Result : Theorem 5.81s 1.88s
% Output : Refutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 36
% Syntax : Number of formulae : 235 ( 40 unt; 14 def)
% Number of atoms : 873 ( 203 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1044 ( 406 ~; 416 |; 184 &)
% ( 19 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-2 aty)
% Number of variables : 153 ( 0 sgn 118 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& X1 != sz00 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f42,axiom,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f44,axiom,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(X0,X1) )
| doDivides0(X0,xr) ) )
=> ( X0 = sz10
| X0 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f53,axiom,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtsldt0(xn,xr) = xn )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2504) ).
fof(f54,axiom,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2529) ).
fof(f55,axiom,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
& doDivides0(xp,xm) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2645) ).
fof(f56,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f60,plain,
( xn != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtpldt0(xm,X1) )
& sdtlseqdt0(xm,xp) ),
inference(rectify,[],[f44]) ).
fof(f61,plain,
( 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(f64,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
& doDivides0(xp,xm) ) ),
inference(rectify,[],[f55]) ).
fof(f65,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(rectify,[],[f57]) ).
fof(f72,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xp,X0) )
& ~ sdtlseqdt0(xp,xn) ),
inference(ennf_transformation,[],[f42]) ).
fof(f75,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,[],[f61]) ).
fof(f76,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,[],[f75]) ).
fof(f77,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(ennf_transformation,[],[f53]) ).
fof(f78,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtsldt0(xn,xr),X0) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xp,X0) )
& ~ doDivides0(xp,xn)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f65]) ).
fof(f80,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f81,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f83,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f82]) ).
fof(f92,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f93,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f100,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f107,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f108,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f107]) ).
fof(f117,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f118,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f117]) ).
fof(f131,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f132,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f134,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f136,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f135]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f140]) ).
fof(f147,definition,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f148,plain,
( sP3
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
& doDivides0(xp,xm) ) ),
inference(definition_folding,[],[f64,f147]) ).
fof(f158,plain,
( xn != xp
& aNaturalNumber0(sK9)
& xp = sdtpldt0(xn,sK9)
& sdtlseqdt0(xn,xp)
& xm != xp
& aNaturalNumber0(sK10)
& xp = sdtpldt0(xm,sK10)
& sdtlseqdt0(xm,xp) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f60]) ).
fof(f159,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK11)
& xk = sdtasdt0(xr,sK11)
& 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,[sK11]),skolemize(X0,sK11)],[f76]) ).
fof(f166,plain,
( aNaturalNumber0(sK17)
& xn = sdtasdt0(xr,sK17)
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f52]) ).
fof(f167,plain,
( xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK18)
& xn = sdtpldt0(sdtsldt0(xn,xr),sK18)
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f78]) ).
fof(f168,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK19)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK19)
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f54]) ).
fof(f169,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f147]) ).
fof(f170,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sK20)
& sdtsldt0(xn,xr) = sdtasdt0(xp,sK20)
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f169]) ).
fof(f171,plain,
( sP3
| ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
& doDivides0(xp,xm) ) ),
inference(rectify,[],[f148]) ).
fof(f172,plain,
( sP3
| ( aNaturalNumber0(sK21)
& xm = sdtasdt0(xp,sK21)
& doDivides0(xp,xm) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f171]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f108]) ).
fof(f179,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f178]) ).
fof(f180,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK24(X0,X1))
& sdtpldt0(X0,sK24(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X3,sK24(X0,X1))],[f179]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f141]) ).
fof(f185,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f188,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f213,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f72]) ).
fof(f221,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f158]) ).
fof(f236,plain,
sz00 != xr,
inference(cnf_transformation,[],[f159]) ).
fof(f240,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f159]) ).
fof(f256,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f166]) ).
fof(f257,plain,
xn = sdtasdt0(xr,sK17),
inference(cnf_transformation,[],[f166]) ).
fof(f258,plain,
aNaturalNumber0(sK17),
inference(cnf_transformation,[],[f166]) ).
fof(f259,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f167]) ).
fof(f271,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f168]) ).
fof(f272,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| ~ sP3 ),
inference(cnf_transformation,[],[f170]) ).
fof(f273,plain,
( sdtsldt0(xn,xr) = sdtasdt0(xp,sK20)
| ~ sP3 ),
inference(cnf_transformation,[],[f170]) ).
fof(f277,plain,
( sP3
| doDivides0(xp,xm) ),
inference(cnf_transformation,[],[f172]) ).
fof(f280,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f79]) ).
fof(f283,plain,
! [X0] :
( xn != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f284,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f285,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f296,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f92]) ).
fof(f297,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f93]) ).
fof(f299,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f312,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f314,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f315,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f324,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f331,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f340,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f343,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f348,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f352,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f324]) ).
fof(f355,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f348]) ).
fof(f359,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f352,f331]) ).
fof(f362,definition,
( spl26_1
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f363,plain,
( aNaturalNumber0(sz00)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f370,plain,
spl26_1,
inference(avatar_split_clause,[],[f299,f362]) ).
fof(f371,plain,
sP3,
inference(forward_subsumption_resolution,[],[f277,f280]) ).
fof(f377,definition,
( spl26_4
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).
fof(f387,definition,
( spl26_6
<=> doDivides0(xp,sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl26_6])],[avatar_definition]) ).
fof(f389,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,plain,
( ~ spl26_4
| spl26_6 ),
inference(avatar_split_clause,[],[f272,f387,f377]) ).
fof(f392,definition,
( spl26_7
<=> sdtsldt0(xn,xr) = sdtasdt0(xp,sK20) ),
introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).
fof(f394,plain,
( sdtsldt0(xn,xr) = sdtasdt0(xp,sK20)
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
( ~ spl26_4
| spl26_7 ),
inference(avatar_split_clause,[],[f273,f392,f377]) ).
fof(f407,definition,
( spl26_10
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f409,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f412,plain,
spl26_10,
inference(avatar_split_clause,[],[f271,f407]) ).
fof(f442,plain,
spl26_4,
inference(avatar_split_clause,[],[f371,f377]) ).
fof(f444,plain,
( aNaturalNumber0(sdtasdt0(xp,sK20))
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_demodulation,[],[f409,f394]) ).
fof(f477,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f296,f186]) ).
fof(f479,plain,
sz00 = sdtasdt0(xr,sz00),
inference(resolution,[],[f296,f240]) ).
fof(f494,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[],[f297,f315]) ).
fof(f552,plain,
sK17 = sdtasdt0(sz10,sK17),
inference(resolution,[],[f312,f258]) ).
fof(f581,plain,
( sdtlseqdt0(sdtasdt0(xp,sK20),xn)
| ~ spl26_7 ),
inference(superposition,[],[f259,f394]) ).
fof(f685,plain,
( sz00 != xn
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f283,f477]) ).
fof(f689,plain,
( sz00 != xn
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f685,f363]) ).
fof(f809,definition,
( spl26_17
<=> sz00 = sK17 ),
introduced(definition,[new_symbols(definition,[spl26_17])],[avatar_definition]) ).
fof(f810,plain,
( sz00 != sK17
| spl26_17 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f811,plain,
( sz00 = sK17
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f832,definition,
( spl26_22
<=> sz00 = sdtasdt0(xp,sK20) ),
introduced(definition,[new_symbols(definition,[spl26_22])],[avatar_definition]) ).
fof(f834,plain,
( sz00 = sdtasdt0(xp,sK20)
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f905,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sz00 = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl26_6 ),
inference(resolution,[],[f284,f389]) ).
fof(f915,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sz00 = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl26_6 ),
inference(forward_subsumption_resolution,[],[f905,f186]) ).
fof(f917,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,sK20))
| sz00 = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f915,f394]) ).
fof(f919,plain,
( sz00 = sdtasdt0(xp,sK20)
| sdtlseqdt0(xp,sdtasdt0(xp,sK20))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f917,f394]) ).
fof(f921,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,sK20))
| sz00 = sdtasdt0(xp,sK20)
| sdtlseqdt0(xp,sdtasdt0(xp,sK20))
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f919,f394]) ).
fof(f923,plain,
( sz00 = sdtasdt0(xp,sK20)
| sdtlseqdt0(xp,sdtasdt0(xp,sK20))
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_subsumption_resolution,[],[f921,f444]) ).
fof(f926,definition,
( spl26_29
<=> sdtlseqdt0(xp,sdtasdt0(xp,sK20)) ),
introduced(definition,[new_symbols(definition,[spl26_29])],[avatar_definition]) ).
fof(f928,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,sK20))
| ~ spl26_29 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f929,plain,
( spl26_29
| spl26_22
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(avatar_split_clause,[],[f923,f407,f392,f387,f832,f926]) ).
fof(f1217,plain,
( xn = sdtasdt0(xr,sz00)
| ~ spl26_17 ),
inference(superposition,[],[f257,f811]) ).
fof(f1219,plain,
( sz00 = xn
| ~ spl26_17 ),
inference(forward_demodulation,[],[f1217,f479]) ).
fof(f1220,plain,
( $false
| ~ spl26_1
| ~ spl26_17 ),
inference(forward_subsumption_resolution,[],[f1219,f689]) ).
fof(f1221,plain,
( ~ spl26_1
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1601,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f342,f221]) ).
fof(f1612,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1601,f188]) ).
fof(f1623,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1612,f186]) ).
fof(f3114,plain,
( ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK17)
| sz00 = xr
| sdtsldt0(xn,xr) = sK17
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f355,f257]) ).
fof(f3121,plain,
( ~ aNaturalNumber0(sK17)
| sz00 = xr
| sdtsldt0(xn,xr) = sK17
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f3114,f256]) ).
fof(f3133,plain,
( sz00 = xr
| sdtsldt0(xn,xr) = sK17
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f3121,f258]) ).
fof(f3144,plain,
( sdtsldt0(xn,xr) = sK17
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f3133,f236]) ).
fof(f3155,plain,
( sdtsldt0(xn,xr) = sK17
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f3144,f240]) ).
fof(f3166,plain,
sdtsldt0(xn,xr) = sK17,
inference(forward_subsumption_resolution,[],[f3155,f188]) ).
fof(f7208,definition,
( spl26_181
<=> xp = sdtasdt0(xp,sK20) ),
introduced(definition,[new_symbols(definition,[spl26_181])],[avatar_definition]) ).
fof(f7210,plain,
( xp = sdtasdt0(xp,sK20)
| ~ spl26_181 ),
inference(avatar_component_clause,[],[f7208]) ).
fof(f7576,definition,
( spl26_196
<=> sz10 = sdtasdt0(xp,sK20) ),
introduced(definition,[new_symbols(definition,[spl26_196])],[avatar_definition]) ).
fof(f7577,plain,
( sz10 != sdtasdt0(xp,sK20)
| spl26_196 ),
inference(avatar_component_clause,[],[f7576]) ).
fof(f7578,plain,
( sz10 = sdtasdt0(xp,sK20)
| ~ spl26_196 ),
inference(avatar_component_clause,[],[f7576]) ).
fof(f9179,definition,
( spl26_241
<=> sdtlseqdt0(sz10,sdtasdt0(xp,sK20)) ),
introduced(definition,[new_symbols(definition,[spl26_241])],[avatar_definition]) ).
fof(f9180,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,sK20))
| ~ spl26_241 ),
inference(avatar_component_clause,[],[f9179]) ).
fof(f9181,plain,
( ~ sdtlseqdt0(sz10,sdtasdt0(xp,sK20))
| spl26_241 ),
inference(avatar_component_clause,[],[f9179]) ).
fof(f9188,definition,
( spl26_243
<=> sdtlseqdt0(sdtasdt0(xp,sK20),sz10) ),
introduced(definition,[new_symbols(definition,[spl26_243])],[avatar_definition]) ).
fof(f9189,plain,
( sdtlseqdt0(sdtasdt0(xp,sK20),sz10)
| ~ spl26_243 ),
inference(avatar_component_clause,[],[f9188]) ).
fof(f9190,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),sz10)
| spl26_243 ),
inference(avatar_component_clause,[],[f9188]) ).
fof(f9227,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,sK20))
| ~ aNaturalNumber0(sdtasdt0(xp,sK20))
| ~ aNaturalNumber0(sz10)
| spl26_243 ),
inference(resolution,[],[f9190,f340]) ).
fof(f9237,plain,
( sz00 = sz10
| ~ spl26_22
| ~ spl26_196 ),
inference(forward_demodulation,[],[f7578,f834]) ).
fof(f9240,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,sK20))
| ~ aNaturalNumber0(sz10)
| ~ spl26_7
| ~ spl26_10
| spl26_243 ),
inference(forward_subsumption_resolution,[],[f9227,f444]) ).
fof(f9241,plain,
( $false
| ~ spl26_22
| ~ spl26_196 ),
inference(forward_subsumption_resolution,[],[f9237,f314]) ).
fof(f9242,plain,
( ~ spl26_22
| ~ spl26_196 ),
inference(avatar_contradiction_clause,[],[f9241]) ).
fof(f9244,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,sK20))
| ~ spl26_7
| ~ spl26_10
| spl26_243 ),
inference(forward_subsumption_resolution,[],[f9240,f315]) ).
fof(f9246,plain,
( sdtlseqdt0(sz10,sz00)
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(forward_demodulation,[],[f9244,f834]) ).
fof(f10323,plain,
( sdtlseqdt0(sz10,sK17)
| sz00 = sK17
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[],[f285,f552]) ).
fof(f10348,plain,
( sdtlseqdt0(sz10,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| spl26_17 ),
inference(forward_subsumption_resolution,[],[f10323,f810]) ).
fof(f10365,plain,
( sdtlseqdt0(sz10,sK17)
| ~ aNaturalNumber0(sz10)
| spl26_17 ),
inference(forward_subsumption_resolution,[],[f10348,f258]) ).
fof(f10381,plain,
( sdtlseqdt0(sz10,sK17)
| spl26_17 ),
inference(forward_subsumption_resolution,[],[f10365,f315]) ).
fof(f12206,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),xp)
| xp = sdtasdt0(xp,sK20)
| ~ aNaturalNumber0(sdtasdt0(xp,sK20))
| ~ aNaturalNumber0(xp)
| ~ spl26_29 ),
inference(resolution,[],[f928,f343]) ).
fof(f12209,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),xp)
| xp = sdtasdt0(xp,sK20)
| ~ aNaturalNumber0(xp)
| ~ spl26_7
| ~ spl26_10
| ~ spl26_29 ),
inference(forward_subsumption_resolution,[],[f12206,f444]) ).
fof(f12213,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),xp)
| xp = sdtasdt0(xp,sK20)
| ~ spl26_7
| ~ spl26_10
| ~ spl26_29 ),
inference(forward_subsumption_resolution,[],[f12209,f186]) ).
fof(f12237,definition,
( spl26_329
<=> sdtlseqdt0(sdtasdt0(xp,sK20),xp) ),
introduced(definition,[new_symbols(definition,[spl26_329])],[avatar_definition]) ).
fof(f12239,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),xp)
| spl26_329 ),
inference(avatar_component_clause,[],[f12237]) ).
fof(f12240,plain,
( spl26_181
| ~ spl26_329
| ~ spl26_7
| ~ spl26_10
| ~ spl26_29 ),
inference(avatar_split_clause,[],[f12213,f926,f407,f392,f12237,f7208]) ).
fof(f12284,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),sz10)
| sz10 = sdtasdt0(xp,sK20)
| ~ aNaturalNumber0(sdtasdt0(xp,sK20))
| ~ aNaturalNumber0(sz10)
| ~ spl26_241 ),
inference(resolution,[],[f9180,f343]) ).
fof(f12315,plain,
( sK17 = sdtasdt0(xp,sK20)
| ~ spl26_7 ),
inference(superposition,[],[f394,f3166]) ).
fof(f12766,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f359,f494]) ).
fof(f12767,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f12766,f315]) ).
fof(f12779,plain,
( sdtlseqdt0(sz00,sz10)
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f12767,f363]) ).
fof(f14954,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[],[f1623,f259]) ).
fof(f14965,plain,
( sdtlseqdt0(sdtasdt0(xp,sK20),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl26_7 ),
inference(forward_demodulation,[],[f14954,f394]) ).
fof(f14967,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl26_7
| spl26_329 ),
inference(forward_subsumption_resolution,[],[f14965,f12239]) ).
fof(f14970,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,sK20))
| ~ spl26_7
| spl26_329 ),
inference(forward_demodulation,[],[f14967,f394]) ).
fof(f14971,plain,
( $false
| ~ spl26_7
| ~ spl26_10
| spl26_329 ),
inference(forward_subsumption_resolution,[],[f14970,f444]) ).
fof(f14972,plain,
( ~ spl26_7
| ~ spl26_10
| spl26_329 ),
inference(avatar_contradiction_clause,[],[f14971]) ).
fof(f14985,plain,
( sdtlseqdt0(xp,xn)
| ~ spl26_7
| ~ spl26_181 ),
inference(superposition,[],[f581,f7210]) ).
fof(f15041,plain,
( $false
| ~ spl26_7
| ~ spl26_181 ),
inference(forward_subsumption_resolution,[],[f14985,f213]) ).
fof(f15042,plain,
( ~ spl26_7
| ~ spl26_181 ),
inference(avatar_contradiction_clause,[],[f15041]) ).
fof(f15074,plain,
( ~ sdtlseqdt0(sz00,sz10)
| sz00 = sz10
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(resolution,[],[f9246,f343]) ).
fof(f15077,plain,
( sz00 = sz10
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(forward_subsumption_resolution,[],[f15074,f12779]) ).
fof(f15081,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(forward_subsumption_resolution,[],[f15077,f314]) ).
fof(f15085,plain,
( ~ aNaturalNumber0(sz10)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(forward_subsumption_resolution,[],[f15081,f363]) ).
fof(f15086,plain,
( $false
| ~ spl26_1
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(forward_subsumption_resolution,[],[f15085,f315]) ).
fof(f15087,plain,
( ~ spl26_1
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(avatar_contradiction_clause,[],[f15086]) ).
fof(f15088,plain,
( sdtlseqdt0(sK17,sz10)
| ~ spl26_7
| ~ spl26_243 ),
inference(forward_demodulation,[],[f9189,f12315]) ).
fof(f15090,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK20))
| ~ aNaturalNumber0(sz10)
| spl26_196
| ~ spl26_241 ),
inference(forward_subsumption_resolution,[],[f12284,f7577]) ).
fof(f15091,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),sz10)
| ~ aNaturalNumber0(sz10)
| ~ spl26_7
| ~ spl26_10
| spl26_196
| ~ spl26_241 ),
inference(forward_subsumption_resolution,[],[f15090,f444]) ).
fof(f15092,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sK20),sz10)
| ~ spl26_7
| ~ spl26_10
| spl26_196
| ~ spl26_241 ),
inference(forward_subsumption_resolution,[],[f15091,f315]) ).
fof(f15093,plain,
( ~ sdtlseqdt0(sK17,sz10)
| ~ spl26_7
| ~ spl26_10
| spl26_196
| ~ spl26_241 ),
inference(forward_demodulation,[],[f15092,f12315]) ).
fof(f15094,plain,
( $false
| ~ spl26_7
| ~ spl26_10
| spl26_196
| ~ spl26_241
| ~ spl26_243 ),
inference(forward_subsumption_resolution,[],[f15093,f15088]) ).
fof(f15095,plain,
( ~ spl26_7
| ~ spl26_10
| spl26_196
| ~ spl26_241
| ~ spl26_243 ),
inference(avatar_contradiction_clause,[],[f15094]) ).
fof(f15096,plain,
( ~ sdtlseqdt0(sz10,sK17)
| ~ spl26_7
| spl26_241 ),
inference(forward_demodulation,[],[f9181,f12315]) ).
fof(f15097,plain,
( $false
| ~ spl26_7
| spl26_17
| spl26_241 ),
inference(forward_subsumption_resolution,[],[f15096,f10381]) ).
fof(f15098,plain,
( ~ spl26_7
| spl26_17
| spl26_241 ),
inference(avatar_contradiction_clause,[],[f15097]) ).
cnf(s2,plain,
spl26_1,
inference(sat_conversion,[],[f370]) ).
cnf(s5,plain,
( ~ spl26_4
| spl26_6 ),
inference(sat_conversion,[],[f390]) ).
cnf(s6,plain,
( ~ spl26_4
| spl26_7 ),
inference(sat_conversion,[],[f395]) ).
cnf(s11,plain,
spl26_10,
inference(sat_conversion,[],[f412]) ).
cnf(s21,plain,
spl26_4,
inference(sat_conversion,[],[f442]) ).
cnf(s31,plain,
( ~ spl26_6
| ~ spl26_7
| ~ spl26_10
| spl26_22
| spl26_29 ),
inference(sat_conversion,[],[f929]) ).
cnf(s40,plain,
( ~ spl26_1
| ~ spl26_17 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s286,plain,
( ~ spl26_22
| ~ spl26_196 ),
inference(sat_conversion,[],[f9242]) ).
cnf(s374,plain,
( ~ spl26_7
| ~ spl26_10
| ~ spl26_29
| spl26_181
| ~ spl26_329 ),
inference(sat_conversion,[],[f12240]) ).
cnf(s549,plain,
( ~ spl26_7
| ~ spl26_10
| spl26_329 ),
inference(sat_conversion,[],[f14972]) ).
cnf(s552,plain,
( ~ spl26_7
| ~ spl26_181 ),
inference(sat_conversion,[],[f15042]) ).
cnf(s554,plain,
( ~ spl26_1
| ~ spl26_7
| ~ spl26_10
| ~ spl26_22
| spl26_243 ),
inference(sat_conversion,[],[f15087]) ).
cnf(s555,plain,
( ~ spl26_7
| ~ spl26_10
| spl26_196
| ~ spl26_241
| ~ spl26_243 ),
inference(sat_conversion,[],[f15095]) ).
cnf(s556,plain,
( ~ spl26_7
| spl26_17
| spl26_241 ),
inference(sat_conversion,[],[f15098]) ).
cnf(s574,plain,
spl26_7,
inference(rat,[],[s6,s21]) ).
cnf(s575,plain,
~ spl26_181,
inference(rat,[],[s552,s574]) ).
cnf(s576,plain,
spl26_329,
inference(rat,[],[s549,s11,s574]) ).
cnf(s578,plain,
~ spl26_29,
inference(rat,[],[s374,s576,s575,s11,s574]) ).
cnf(s580,plain,
spl26_6,
inference(rat,[],[s5,s21]) ).
cnf(s582,plain,
spl26_22,
inference(rat,[],[s31,s578,s574,s11,s580]) ).
cnf(s583,plain,
~ spl26_196,
inference(rat,[],[s286,s582]) ).
cnf(s586,plain,
spl26_243,
inference(rat,[],[s554,s582,s574,s11,s2]) ).
cnf(s595,plain,
~ spl26_17,
inference(rat,[],[s40,s2]) ).
cnf(s597,plain,
~ spl26_241,
inference(rat,[],[s555,s583,s574,s11,s586]) ).
cnf(s609,plain,
$false,
inference(rat,[],[s556,s574,s597,s595]) ).
fof(f15099,plain,
$false,
inference(avatar_sat_refutation,[],[s609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM518+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n020.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 20:19:20 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.81/1.88 % (3716177)Detected formulas, will run a generic FOF schedule.
% 5.81/1.88 % (3716319)dis-21_1_sil=8000:lcm=predicate:random_seed=452101270: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)
% 5.81/1.88 % (3716315)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1299775908:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.81/1.88 % (3716312)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=148542775:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.81/1.88 % (3716314)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=2356873119:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.81/1.88 % (3716313)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=3284559720:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.81/1.88 % (3716319)Instruction limit reached!
% 5.81/1.88 % (3716319)------------------------------
% 5.81/1.88 % (3716319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716319)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716319)Termination reason: Instruction limit
% 5.81/1.88 % (3716319)Termination phase: Saturation
% 5.81/1.88 % (3716319)Time elapsed: 0.045 s
% 5.81/1.88 % (3716319)Peak memory usage: 91 MB
% 5.81/1.88 % (3716319)Instructions burned: 133 (million)
% 5.81/1.88 % (3716316)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3618030556:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.81/1.88 % (3716318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2917793828:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.81/1.88 % (3716315)Instruction limit reached!
% 5.81/1.88 % (3716315)------------------------------
% 5.81/1.88 % (3716315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716315)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716315)Termination reason: Instruction limit
% 5.81/1.88 % (3716315)Termination phase: Saturation
% 5.81/1.88 % (3716315)Time elapsed: 0.042 s
% 5.81/1.88 % (3716315)Peak memory usage: 89 MB
% 5.81/1.88 % (3716315)Instructions burned: 113 (million)
% 5.81/1.88 % (3716316)Instruction limit reached!
% 5.81/1.88 % (3716316)------------------------------
% 5.81/1.88 % (3716316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716316)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716316)Termination reason: Instruction limit
% 5.81/1.88 % (3716316)Termination phase: Saturation
% 5.81/1.88 % (3716316)Time elapsed: 0.067 s
% 5.81/1.88 % (3716316)Peak memory usage: 88 MB
% 5.81/1.88 % (3716316)Instructions burned: 121 (million)
% 5.81/1.88 % (3716318)Instruction limit reached!
% 5.81/1.88 % (3716318)------------------------------
% 5.81/1.88 % (3716318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716318)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716318)Termination reason: Instruction limit
% 5.81/1.88 % (3716318)Termination phase: Saturation
% 5.81/1.88 % (3716318)Time elapsed: 0.090 s
% 5.81/1.88 % (3716318)Peak memory usage: 90 MB
% 5.81/1.88 % (3716318)Instructions burned: 139 (million)
% 5.81/1.88 % (3716331)lrs+10_1_sil=32000:urr=on:br=off:random_seed=8803210:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.81/1.88 % (3716330)lrs+10_1_sil=8000:sp=occurrence:random_seed=1127724618:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.81/1.88 % (3716331)Instruction limit reached!
% 5.81/1.88 % (3716331)------------------------------
% 5.81/1.88 % (3716331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716331)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716331)Termination reason: Instruction limit
% 5.81/1.88 % (3716331)Termination phase: Saturation
% 5.81/1.88 % (3716331)Time elapsed: 0.039 s
% 5.81/1.88 % (3716331)Peak memory usage: 90 MB
% 5.81/1.88 % (3716331)Instructions burned: 157 (million)
% 5.81/1.88 % (3716332)lrs+1011_1_sil=32000:sp=occurrence:random_seed=134411082:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.81/1.88 % (3716333)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=1694366013:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.81/1.88 % (3716336)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=628100603:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.81/1.88 % (3716330)Instruction limit reached!
% 5.81/1.88 % (3716330)------------------------------
% 5.81/1.88 % (3716330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716330)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716330)Termination reason: Instruction limit
% 5.81/1.88 % (3716330)Termination phase: Saturation
% 5.81/1.88 % (3716330)Time elapsed: 0.157 s
% 5.81/1.88 % (3716330)Peak memory usage: 91 MB
% 5.81/1.88 % (3716330)Instructions burned: 286 (million)
% 5.81/1.88 % (3716336)Instruction limit reached!
% 5.81/1.88 % (3716336)------------------------------
% 5.81/1.88 % (3716336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716336)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716336)Termination reason: Instruction limit
% 5.81/1.88 % (3716336)Termination phase: Saturation
% 5.81/1.88 % (3716336)Time elapsed: 0.087 s
% 5.81/1.88 % (3716336)Peak memory usage: 90 MB
% 5.81/1.88 % (3716336)Instructions burned: 297 (million)
% 5.81/1.88 % (3716333)Instruction limit reached!
% 5.81/1.88 % (3716333)------------------------------
% 5.81/1.88 % (3716333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716333)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716333)Termination reason: Instruction limit
% 5.81/1.88 % (3716333)Termination phase: Saturation
% 5.81/1.88 % (3716333)Time elapsed: 0.114 s
% 5.81/1.88 % (3716333)Peak memory usage: 94 MB
% 5.81/1.88 % (3716333)Instructions burned: 250 (million)
% 5.81/1.88 % (3716332)Instruction limit reached!
% 5.81/1.88 % (3716332)------------------------------
% 5.81/1.88 % (3716332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716332)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716332)Termination reason: Instruction limit
% 5.81/1.88 % (3716332)Termination phase: Saturation
% 5.81/1.88 % (3716332)Time elapsed: 0.203 s
% 5.81/1.88 % (3716332)Peak memory usage: 92 MB
% 5.81/1.88 % (3716332)Instructions burned: 327 (million)
% 5.81/1.88 % (3716341)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1092972834:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.81/1.88 % (3716340)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3059002631:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.81/1.88 % (3716341)Instruction limit reached!
% 5.81/1.88 % (3716341)------------------------------
% 5.81/1.88 % (3716341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716341)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716341)Termination reason: Instruction limit
% 5.81/1.88 % (3716341)Termination phase: Saturation
% 5.81/1.88 % (3716341)Time elapsed: 0.036 s
% 5.81/1.88 % (3716341)Peak memory usage: 91 MB
% 5.81/1.88 % (3716341)Instructions burned: 114 (million)
% 5.81/1.88 % (3716342)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2825746644:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 5.81/1.88 % (3716342)Instruction limit reached!
% 5.81/1.88 % (3716342)------------------------------
% 5.81/1.88 % (3716342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716342)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716342)Termination reason: Instruction limit
% 5.81/1.88 % (3716342)Termination phase: Saturation
% 5.81/1.88 % (3716342)Time elapsed: 0.064 s
% 5.81/1.88 % (3716342)Peak memory usage: 89 MB
% 5.81/1.88 % (3716342)Instructions burned: 127 (million)
% 5.81/1.88 % (3716343)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=372930884:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.81/1.88 % (3716346)lrs+10_1_sil=8000:sp=occurrence:random_seed=1187969833:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 5.81/1.88 % (3716343)Instruction limit reached!
% 5.81/1.88 % (3716343)------------------------------
% 5.81/1.88 % (3716343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.88 % (3716343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.88 % (3716343)CaDiCaL version: 2.1.3
% 5.81/1.88 % (3716343)Termination reason: Instruction limit
% 5.81/1.88 % (3716343)Termination phase: Saturation
% 5.81/1.88 % (3716343)Time elapsed: 0.058 s
% 5.81/1.88 % (3716343)Peak memory usage: 89 MB
% 5.81/1.88 % (3716343)Instructions burned: 115 (million)
% 5.81/1.88 % (3716349)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2875378492:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 5.81/1.88 % (3716351)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1177118988:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.81/1.88 % (3716346)First to succeed.
% 5.81/1.88 % (3716346)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3716177"
% 5.81/1.88 % (3716349)Also succeeded, but the first one will report.
% 5.81/1.88 % (3716346)Refutation found. Thanks to Tanya!
% 5.81/1.88 % SZS status Theorem for theBenchmark
% 5.81/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 7.85/2.08 % (3716346)------------------------------
% 7.85/2.08 % (3716346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/2.08 % (3716346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/2.08 % (3716346)CaDiCaL version: 2.1.3
% 7.85/2.08 % (3716346)Termination reason: Refutation
% 7.85/2.08 % (3716346)Time elapsed: 0.172 s
% 7.85/2.08 % (3716346)Peak memory usage: 95 MB
% 7.85/2.08 % (3716346)Instructions burned: 551 (million)
% 7.85/2.08 % (3716346)------------------------------
% 7.85/2.08 % (3716346)------------------------------
% 7.85/2.08 % (3716177)Success in time 1.014 s
% 7.85/2.08 % Vampire exiting
%------------------------------------------------------------------------------