%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM510+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 : n001.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 12:15:31 PM UTC 2026
% Result : Theorem 3.85s 1.59s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 151 ( 22 unt; 7 def)
% Number of atoms : 630 ( 222 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 773 ( 294 ~; 298 |; 148 &)
% ( 12 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 121 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
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/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& X1 != sz00 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
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(f52,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f53,conjecture,
( ~ ( 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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f54,negated_conjecture,
~ ( ~ ( 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) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f56,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(f58,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(f65,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,[],[f56]) ).
fof(f66,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,[],[f65]) ).
fof(f70,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,[],[f58]) ).
fof(f71,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,[],[f70]) ).
fof(f72,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtsldt0(xn,xr) = xn )
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(sdtsldt0(xn,xr),X0) )
& ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f73,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtsldt0(xn,xr) = xn )
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(sdtsldt0(xn,xr),X0) )
& ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ) ),
inference(flattening,[],[f72]) ).
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] :
( ! [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(f83,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,[],[f82]) ).
fof(f90,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f91,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f90]) ).
fof(f94,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f95,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f98,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f121,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f122,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f121]) ).
fof(f125,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f126,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f128,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f127]) ).
fof(f143,definition,
( ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(sdtsldt0(xn,xr),X0) )
& ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f144,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtsldt0(xn,xr) = xn )
| sP3 ),
inference(definition_folding,[],[f73,f143]) ).
fof(f153,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(sK8)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK8)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8)],[f66]) ).
fof(f155,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)],[f71]) ).
fof(f162,plain,
( aNaturalNumber0(sK17)
& xn = sdtasdt0(xr,sK17)
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f52]) ).
fof(f163,plain,
( ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(sdtsldt0(xn,xr),X0) )
& ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f143]) ).
fof(f169,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,[],[f83]) ).
fof(f170,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,[],[f169]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f122]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK21(X0,X1))
& sdtasdt0(X0,sK21(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X3,sK21(X0,X1))],[f177]) ).
fof(f179,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f180,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f181,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f205,plain,
sz00 != xp,
inference(cnf_transformation,[],[f153]) ).
fof(f219,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f220,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f224,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f228,plain,
sz10 != xr,
inference(cnf_transformation,[],[f155]) ).
fof(f229,plain,
sz00 != xr,
inference(cnf_transformation,[],[f155]) ).
fof(f233,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f155]) ).
fof(f250,plain,
xn = sdtasdt0(xr,sK17),
inference(cnf_transformation,[],[f162]) ).
fof(f251,plain,
aNaturalNumber0(sK17),
inference(cnf_transformation,[],[f162]) ).
fof(f253,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sP3 ),
inference(cnf_transformation,[],[f163]) ).
fof(f254,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sP3 ),
inference(cnf_transformation,[],[f163]) ).
fof(f256,plain,
( xn = sdtsldt0(xn,xr)
| sP3 ),
inference(cnf_transformation,[],[f144]) ).
fof(f257,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| sP3 ),
inference(cnf_transformation,[],[f144]) ).
fof(f270,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f273,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,[],[f170]) ).
fof(f281,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f284,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f286,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f291,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f293,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f317,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f319,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f320,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f329,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f273]) ).
fof(f337,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f317]) ).
fof(f340,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f337,f320]) ).
fof(f343,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f329,f320]) ).
fof(f347,definition,
( spl22_1
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f351,definition,
( spl22_2
<=> xn = sdtsldt0(xn,xr) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f353,plain,
( xn = sdtsldt0(xn,xr)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f354,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f256,f351,f347]) ).
fof(f356,definition,
( spl22_3
<=> xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f358,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,plain,
( spl22_1
| spl22_3 ),
inference(avatar_split_clause,[],[f257,f356,f347]) ).
fof(f361,definition,
( spl22_4
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f363,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f366,plain,
( ~ spl22_1
| spl22_4 ),
inference(avatar_split_clause,[],[f253,f361,f347]) ).
fof(f368,definition,
( spl22_5
<=> sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f370,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| spl22_5 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f371,plain,
( ~ spl22_1
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f254,f368,f347]) ).
fof(f406,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f343,f340]) ).
fof(f407,plain,
( xn = sdtasdt0(xr,xn)
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_demodulation,[],[f358,f353]) ).
fof(f711,definition,
( spl22_24
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl22_24])],[avatar_definition]) ).
fof(f712,plain,
( sz00 != xn
| spl22_24 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f713,plain,
( sz00 = xn
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f726,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtsldt0(xn,xr),X0) = sdtasdt0(X0,sdtsldt0(xn,xr)) )
| ~ spl22_4 ),
inference(resolution,[],[f363,f319]) ).
fof(f1048,plain,
( sdtsldt0(xn,xr) = sK17
| ~ aNaturalNumber0(sK17)
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f406,f250]) ).
fof(f1055,plain,
( sdtsldt0(xn,xr) = sK17
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f1048,f251]) ).
fof(f1065,plain,
( sdtsldt0(xn,xr) = sK17
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f1055,f229]) ).
fof(f1072,plain,
sdtsldt0(xn,xr) = sK17,
inference(forward_subsumption_resolution,[],[f1065,f233]) ).
fof(f1164,plain,
( sz00 != sdtasdt0(xn,xm)
| sz00 = xk
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f281,f219]) ).
fof(f1174,plain,
( sz00 != sdtasdt0(xn,xm)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f1164,f224]) ).
fof(f1177,plain,
( sz00 != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f1174,f205]) ).
fof(f1179,plain,
( sz00 != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f1177,f179]) ).
fof(f1181,plain,
sz00 != sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[],[f1179,f220]) ).
fof(f1183,plain,
( sz00 != sdtasdt0(sz00,xm)
| ~ spl22_24 ),
inference(forward_demodulation,[],[f1181,f713]) ).
fof(f1185,plain,
( sz00 != sz00
| ~ aNaturalNumber0(xm)
| ~ spl22_24 ),
inference(superposition,[],[f1183,f286]) ).
fof(f1186,plain,
( ~ aNaturalNumber0(xm)
| ~ spl22_24 ),
inference(trivial_inequality_removal,[],[f1185]) ).
fof(f1187,plain,
( $false
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1186,f180]) ).
fof(f1188,plain,
~ spl22_24,
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1693,plain,
( ! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| sz00 = xn
| ~ aNaturalNumber0(xn) )
| ~ spl22_2
| ~ spl22_3 ),
inference(superposition,[],[f284,f407]) ).
fof(f1712,plain,
( ! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0)
| sz00 = xn
| ~ aNaturalNumber0(xn) )
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f1693,f233]) ).
fof(f1732,plain,
( ! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f1712,f712]) ).
fof(f1753,plain,
( ! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0) )
| ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f1732,f181]) ).
fof(f2335,plain,
( xn != xn
| sz10 = xr
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(superposition,[],[f1753,f293]) ).
fof(f2337,plain,
( sz10 = xr
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(trivial_inequality_removal,[],[f2335]) ).
fof(f2339,plain,
( ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f2337,f228]) ).
fof(f2341,plain,
( ~ aNaturalNumber0(xn)
| ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f2339,f291]) ).
fof(f2343,plain,
( $false
| ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f2341,f181]) ).
fof(f2344,plain,
( ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2441,plain,
( sdtasdt0(xr,sdtsldt0(xn,xr)) = sdtasdt0(sdtsldt0(xn,xr),xr)
| ~ spl22_4 ),
inference(resolution,[],[f726,f233]) ).
fof(f2764,plain,
( sdtasdt0(xr,sK17) = sdtasdt0(sK17,xr)
| ~ spl22_4 ),
inference(forward_demodulation,[],[f2441,f1072]) ).
fof(f2839,plain,
( xn = sdtasdt0(sK17,xr)
| ~ spl22_4 ),
inference(forward_demodulation,[],[f2764,f250]) ).
fof(f2926,plain,
( ~ doDivides0(sdtsldt0(xn,xr),xn)
| sz00 = xn
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl22_5 ),
inference(resolution,[],[f370,f270]) ).
fof(f2928,plain,
( ~ doDivides0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl22_5
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f2926,f712]) ).
fof(f2930,plain,
( ~ doDivides0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn)
| ~ spl22_4
| spl22_5
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f2928,f363]) ).
fof(f2932,plain,
( ~ doDivides0(sdtsldt0(xn,xr),xn)
| ~ spl22_4
| spl22_5
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f2930,f181]) ).
fof(f2934,plain,
( ~ doDivides0(sK17,xn)
| ~ spl22_4
| spl22_5
| spl22_24 ),
inference(forward_demodulation,[],[f2932,f1072]) ).
fof(f3054,plain,
( doDivides0(sK17,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK17)
| ~ spl22_4 ),
inference(superposition,[],[f340,f2839]) ).
fof(f3057,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK17)
| ~ spl22_4
| spl22_5
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f3054,f2934]) ).
fof(f3066,plain,
( ~ aNaturalNumber0(sK17)
| ~ spl22_4
| spl22_5
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f3057,f233]) ).
fof(f3075,plain,
( $false
| ~ spl22_4
| spl22_5
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f3066,f251]) ).
fof(f3076,plain,
( ~ spl22_4
| spl22_5
| spl22_24 ),
inference(avatar_contradiction_clause,[],[f3075]) ).
cnf(s1,plain,
( spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f354]) ).
cnf(s2,plain,
( spl22_1
| spl22_3 ),
inference(sat_conversion,[],[f359]) ).
cnf(s5,plain,
( ~ spl22_1
| spl22_4 ),
inference(sat_conversion,[],[f366]) ).
cnf(s6,plain,
( ~ spl22_1
| ~ spl22_5 ),
inference(sat_conversion,[],[f371]) ).
cnf(s56,plain,
~ spl22_24,
inference(sat_conversion,[],[f1188]) ).
cnf(s69,plain,
( ~ spl22_2
| ~ spl22_3
| spl22_24 ),
inference(sat_conversion,[],[f2344]) ).
cnf(s99,plain,
( ~ spl22_4
| spl22_5
| spl22_24 ),
inference(sat_conversion,[],[f3076]) ).
cnf(s107,plain,
spl22_1,
inference(rat,[],[s69,s1,s2,s56]) ).
cnf(s109,plain,
~ spl22_5,
inference(rat,[],[s6,s107]) ).
cnf(s110,plain,
spl22_4,
inference(rat,[],[s5,s107]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s99,s56,s109,s110]) ).
fof(f3093,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM510+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:21:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.85/1.59 % (3924085)Detected formulas, will run a generic FOF schedule.
% 3.85/1.59 % (3924092)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=1974467290:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.85/1.59 % (3924093)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3762323284:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.85/1.59 % (3924091)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=1001121128:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.85/1.59 % (3924090)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=2888031237:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.85/1.59 % (3924096)dis-21_1_sil=8000:lcm=predicate:random_seed=2468776105: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)
% 3.85/1.59 % (3924095)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1513827418:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.85/1.59 % (3924094)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1418377594:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.85/1.59 % (3924093)Instruction limit reached!
% 3.85/1.59 % (3924093)------------------------------
% 3.85/1.59 % (3924093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (3924093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (3924093)CaDiCaL version: 2.1.3
% 3.85/1.59 % (3924093)Termination reason: Instruction limit
% 3.85/1.59 % (3924093)Termination phase: Saturation
% 3.85/1.59 % (3924093)Time elapsed: 0.063 s
% 3.85/1.59 % (3924093)Peak memory usage: 89 MB
% 3.85/1.59 % (3924093)Instructions burned: 110 (million)
% 3.85/1.59 % (3924094)Instruction limit reached!
% 3.85/1.59 % (3924094)------------------------------
% 3.85/1.59 % (3924094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (3924094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (3924094)CaDiCaL version: 2.1.3
% 3.85/1.59 % (3924094)Termination reason: Instruction limit
% 3.85/1.59 % (3924094)Termination phase: Saturation
% 3.85/1.59 % (3924094)Time elapsed: 0.065 s
% 3.85/1.59 % (3924094)Peak memory usage: 89 MB
% 3.85/1.59 % (3924094)Instructions burned: 120 (million)
% 3.85/1.59 % (3924096)Instruction limit reached!
% 3.85/1.59 % (3924096)------------------------------
% 3.85/1.59 % (3924096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (3924096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (3924096)CaDiCaL version: 2.1.3
% 3.85/1.59 % (3924096)Termination reason: Instruction limit
% 3.85/1.59 % (3924096)Termination phase: Saturation
% 3.85/1.59 % (3924096)Time elapsed: 0.077 s
% 3.85/1.59 % (3924096)Peak memory usage: 91 MB
% 3.85/1.59 % (3924096)Instructions burned: 129 (million)
% 3.85/1.59 % (3924095)Instruction limit reached!
% 3.85/1.59 % (3924095)------------------------------
% 3.85/1.59 % (3924095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (3924095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (3924095)CaDiCaL version: 2.1.3
% 3.85/1.59 % (3924095)Termination reason: Instruction limit
% 3.85/1.59 % (3924095)Termination phase: Saturation
% 3.85/1.59 % (3924095)Time elapsed: 0.090 s
% 3.85/1.59 % (3924095)Peak memory usage: 90 MB
% 3.85/1.59 % (3924095)Instructions burned: 140 (million)
% 3.85/1.59 % (3924104)lrs+10_1_sil=8000:sp=occurrence:random_seed=3603470618:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.85/1.59 % (3924105)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3597526679:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.85/1.59 % (3924106)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1408468645:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.85/1.59 % (3924107)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=2218899654:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.85/1.59 % (3924105)Instruction limit reached!
% 3.85/1.59 % (3924105)------------------------------
% 3.85/1.59 % (3924105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (3924105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (3924105)CaDiCaL version: 2.1.3
% 3.85/1.59 % (3924105)Termination reason: Instruction limit
% 3.85/1.59 % (3924105)Termination phase: Saturation
% 3.85/1.59 % (3924105)Time elapsed: 0.080 s
% 3.85/1.59 % (3924105)Peak memory usage: 94 MB
% 3.85/1.59 % (3924105)Instructions burned: 157 (million)
% 3.85/1.59 % (3924106)First to succeed.
% 3.85/1.59 % (3924106)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3924085"
% 3.85/1.59 % (3924104)Also succeeded, but the first one will report.
% 3.85/1.59 % (3924107)Instruction limit reached!
% 3.85/1.59 % (3924107)------------------------------
% 3.85/1.59 % (3924107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (3924107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (3924107)CaDiCaL version: 2.1.3
% 3.85/1.59 % (3924107)Termination reason: Instruction limit
% 3.85/1.59 % (3924107)Termination phase: Saturation
% 3.85/1.59 % (3924107)Time elapsed: 0.116 s
% 3.85/1.59 % (3924107)Peak memory usage: 94 MB
% 3.85/1.59 % (3924107)Instructions burned: 249 (million)
% 3.85/1.59 % (3924112)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1987881431:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.85/1.59 % (3924113)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3719088443:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 3.85/1.59 % (3924106)Refutation found. Thanks to Tanya!
% 3.85/1.59 % SZS status Theorem for theBenchmark
% 3.85/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.66/1.79 % (3924106)------------------------------
% 5.66/1.79 % (3924106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.79 % (3924106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.79 % (3924106)CaDiCaL version: 2.1.3
% 5.66/1.79 % (3924106)Termination reason: Refutation
% 5.66/1.79 % (3924106)Time elapsed: 0.068 s
% 5.66/1.79 % (3924106)Peak memory usage: 91 MB
% 5.66/1.79 % (3924106)Instructions burned: 109 (million)
% 5.66/1.79 % (3924106)------------------------------
% 5.66/1.79 % (3924106)------------------------------
% 5.66/1.79 % (3924085)Success in time 0.722 s
% 5.66/1.79 % Vampire exiting
%------------------------------------------------------------------------------