%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM510+1 : 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 : n017.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 1.88s 1.30s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 19
% Syntax : Number of formulae : 137 ( 21 unt; 0 def)
% Number of atoms : 601 ( 248 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 776 ( 312 ~; 363 |; 75 &)
% ( 9 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 160 ( 152 !; 8 ?)
% 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(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
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(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/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
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(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f44,axiom,
( xn != xp
& sdtlseqdt0(xn,xp)
& xm != xp
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f46,axiom,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2315) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f53,conjecture,
( sdtsldt0(xn,xr) != xn
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f54,negated_conjecture,
~ ( sdtsldt0(xn,xr) != xn
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f59,plain,
( sz00 != xk
& sz10 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f60,plain,
( xn = sdtsldt0(xn,xr)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(ennf_transformation,[],[f54]) ).
fof(f90,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(f91,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,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f95,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f96,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f98,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f100,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f104,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f103]) ).
fof(f107,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f108,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f107]) ).
fof(f118,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(f119,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,[],[f118]) ).
fof(f122,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f126,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,[],[f104]) ).
fof(f127,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,[],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f127]) ).
fof(f130,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f131,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK3(X0)
& sK3(X0) != X0
& aNaturalNumber0(sK3(X0))
& doDivides0(sK3(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f132]) ).
fof(f134,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,[],[f119]) ).
fof(f135,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,[],[f134]) ).
fof(f136,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f137,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f138,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f147,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f148,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f150,plain,
sz00 != xk,
inference(cnf_transformation,[],[f59]) ).
fof(f153,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f155,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f161,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f162,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr) ),
inference(cnf_transformation,[],[f60]) ).
fof(f190,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f192,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f193,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f195,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f196,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f197,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f198,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f201,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f206,plain,
! [X0] :
( sz10 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f207,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f219,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f220,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,[],[f135]) ).
fof(f221,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f225,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f227,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f229,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f201]) ).
fof(f230,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f207]) ).
fof(f231,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(equality_resolution,[],[f206]) ).
fof(f233,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,[],[f220]) ).
fof(f234,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f219]) ).
fof(f235,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f218]) ).
fof(f238,plain,
~ isPrime0(sz00),
inference(forward_subsumption_resolution,[],[f230,f221]) ).
fof(f239,plain,
~ isPrime0(sz10),
inference(forward_subsumption_resolution,[],[f231,f227]) ).
fof(f353,plain,
( ~ doDivides0(sdtsldt0(xn,xr),xn)
| sz00 = xn
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| xn = sdtsldt0(xn,xr) ),
inference(resolution,[],[f197,f162]) ).
fof(f358,plain,
( ~ doDivides0(sdtsldt0(xn,xr),xn)
| sz00 = xn
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| xn = sdtsldt0(xn,xr) ),
inference(forward_subsumption_resolution,[],[f353,f138]) ).
fof(f414,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f229,f196]) ).
fof(f428,plain,
! [X0] :
( doDivides0(X0,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f414,f225]) ).
fof(f430,plain,
! [X0,X1] :
( doDivides0(X1,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f414,f195]) ).
fof(f433,plain,
! [X0,X1] :
( doDivides0(X1,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f430]) ).
fof(f435,plain,
! [X0] :
( doDivides0(X0,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f439,plain,
! [X0] :
( doDivides0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f435,f227]) ).
fof(f545,plain,
! [X0] :
( ~ doDivides0(sdtsldt0(xn,xr),X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| sz00 = xn
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| xn = sdtsldt0(xn,xr) ),
inference(resolution,[],[f198,f358]) ).
fof(f550,plain,
! [X0] :
( ~ doDivides0(sdtsldt0(xn,xr),X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| sz00 = xn
| xn = sdtsldt0(xn,xr) ),
inference(duplicate_literal_removal,[],[f545]) ).
fof(f554,plain,
! [X0] :
( ~ doDivides0(sdtsldt0(xn,xr),X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| sz00 = xn
| xn = sdtsldt0(xn,xr) ),
inference(forward_subsumption_resolution,[],[f550,f138]) ).
fof(f562,plain,
! [X0] :
( ~ doDivides0(sdtasdt0(X0,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,sdtsldt0(xn,xr)))
| sz00 = xn
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[],[f554,f433]) ).
fof(f563,plain,
! [X0] :
( ~ doDivides0(sdtasdt0(X0,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,sdtsldt0(xn,xr)))
| sz00 = xn
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f568,plain,
! [X0] :
( ~ doDivides0(sdtasdt0(X0,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sz00 = xn
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f563,f196]) ).
fof(f977,plain,
( ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sz00 = xn
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f568,f235]) ).
fof(f992,plain,
( ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sz00 = xn
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xn) ),
inference(duplicate_literal_removal,[],[f977]) ).
fof(f999,plain,
( ~ doDivides0(xn,xn)
| sz00 = xn
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f992,f234]) ).
fof(f1007,plain,
( sz00 = xn
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xr)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f999,f439]) ).
fof(f1014,plain,
( sz00 = xn
| xn = sdtsldt0(xn,xr)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1007,f155]) ).
fof(f1018,plain,
( sz00 = xn
| xn = sdtsldt0(xn,xr)
| sz00 = xr
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1014,f161]) ).
fof(f1021,plain,
( xn = sdtsldt0(xn,xr)
| sz00 = xn
| sz00 = xr ),
inference(forward_subsumption_resolution,[],[f1018,f138]) ).
fof(f1022,plain,
( xn = sdtasdt0(xr,xn)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| sz00 = xn
| sz00 = xr ),
inference(superposition,[],[f235,f1021]) ).
fof(f1025,plain,
( xn = sdtasdt0(xr,xn)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| sz00 = xn ),
inference(duplicate_literal_removal,[],[f1022]) ).
fof(f1026,plain,
( xn = sdtasdt0(xr,xn)
| sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| sz00 = xn ),
inference(forward_subsumption_resolution,[],[f1025,f161]) ).
fof(f1027,plain,
( xn = sdtasdt0(xr,xn)
| sz00 = xr
| ~ aNaturalNumber0(xn)
| sz00 = xn ),
inference(forward_subsumption_resolution,[],[f1026,f155]) ).
fof(f1028,plain,
( xn = sdtasdt0(xr,xn)
| sz00 = xr
| sz00 = xn ),
inference(forward_subsumption_resolution,[],[f1027,f138]) ).
fof(f1495,plain,
! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| sz00 = xn
| ~ aNaturalNumber0(xn)
| sz00 = xr
| sz00 = xn ),
inference(superposition,[],[f190,f1028]) ).
fof(f1498,plain,
! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| sz00 = xn
| ~ aNaturalNumber0(xn)
| sz00 = xr ),
inference(duplicate_literal_removal,[],[f1495]) ).
fof(f1518,plain,
! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0)
| sz00 = xn
| ~ aNaturalNumber0(xn)
| sz00 = xr ),
inference(forward_subsumption_resolution,[],[f1498,f155]) ).
fof(f1534,plain,
! [X0] :
( xn != sdtasdt0(X0,xn)
| xr = X0
| ~ aNaturalNumber0(X0)
| sz00 = xn
| sz00 = xr ),
inference(forward_subsumption_resolution,[],[f1518,f138]) ).
fof(f1617,plain,
( xn != xn
| sz10 = xr
| ~ aNaturalNumber0(sz10)
| sz00 = xn
| sz00 = xr
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f1534,f224]) ).
fof(f1619,plain,
( sz10 = xr
| ~ aNaturalNumber0(sz10)
| sz00 = xn
| sz00 = xr
| ~ aNaturalNumber0(xn) ),
inference(trivial_inequality_removal,[],[f1617]) ).
fof(f1624,plain,
( sz10 = xr
| sz00 = xn
| sz00 = xr
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1619,f227]) ).
fof(f1628,plain,
( sz10 = xr
| sz00 = xn
| sz00 = xr ),
inference(forward_subsumption_resolution,[],[f1624,f138]) ).
fof(f1702,plain,
( ~ isPrime0(xr)
| sz00 = xn
| sz00 = xr ),
inference(superposition,[],[f239,f1628]) ).
fof(f1705,plain,
( sz00 = xr
| sz00 = xn ),
inference(forward_subsumption_resolution,[],[f1702,f153]) ).
fof(f1714,plain,
( ~ isPrime0(xr)
| sz00 = xn ),
inference(superposition,[],[f238,f1705]) ).
fof(f1721,plain,
sz00 = xn,
inference(forward_subsumption_resolution,[],[f1714,f153]) ).
fof(f1724,plain,
xn != xk,
inference(superposition,[],[f150,f1721]) ).
fof(f1727,plain,
! [X0] :
( xn = sdtasdt0(xn,X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f192,f1721]) ).
fof(f1913,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f233,f414]) ).
fof(f1914,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1913,f196]) ).
fof(f1915,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| xn = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1914,f1721]) ).
fof(f1918,plain,
! [X0] :
( sz00 = sdtsldt0(sz00,X0)
| xn = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f1915,f193]) ).
fof(f1940,plain,
! [X0] :
( sz00 = sdtsldt0(sz00,X0)
| xn = X0
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f1918]) ).
fof(f1948,plain,
! [X0] :
( sz00 = sdtsldt0(sz00,X0)
| xn = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1940,f221]) ).
fof(f1951,plain,
! [X0] :
( xn = sdtsldt0(xn,X0)
| xn = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1948,f1721]) ).
fof(f2156,plain,
( xk = sdtsldt0(xn,xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f148,f1727]) ).
fof(f2223,plain,
xk = sdtsldt0(xn,xp),
inference(forward_subsumption_resolution,[],[f2156,f137]) ).
fof(f2249,plain,
( xn = xk
| xn = xp
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f1951,f2223]) ).
fof(f2255,plain,
( xn = xp
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f2249,f1724]) ).
fof(f2259,plain,
~ aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[],[f2255,f147]) ).
fof(f2263,plain,
$false,
inference(forward_subsumption_resolution,[],[f2259,f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM510+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:11:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 1.88/1.30 % (2905287)Detected formulas, will run a generic FOF schedule.
% 1.88/1.30 % (2905295)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4092202934:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.88/1.30 % (2905295)Instruction limit reached!
% 1.88/1.30 % (2905295)------------------------------
% 1.88/1.30 % (2905295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.30 % (2905295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.30 % (2905295)CaDiCaL version: 2.1.3
% 1.88/1.30 % (2905295)Termination reason: Instruction limit
% 1.88/1.30 % (2905295)Termination phase: Saturation
% 1.88/1.30 % (2905295)Time elapsed: 0.036 s
% 1.88/1.30 % (2905295)Peak memory usage: 89 MB
% 1.88/1.30 % (2905295)Instructions burned: 112 (million)
% 1.88/1.30 % (2905294)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=3023424922:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.88/1.30 % (2905293)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=1370579654:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.88/1.30 % (2905296)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3449854198:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.88/1.30 % (2905292)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=4005832752:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.88/1.30 % (2905298)dis-21_1_sil=8000:lcm=predicate:random_seed=1044868813: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)
% 1.88/1.30 % (2905297)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4208725050:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.88/1.30 % (2905296)First to succeed.
% 1.88/1.30 % (2905296)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2905287"
% 1.88/1.30 % (2905298)Instruction limit reached!
% 1.88/1.30 % (2905298)------------------------------
% 1.88/1.30 % (2905298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.30 % (2905298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.30 % (2905298)CaDiCaL version: 2.1.3
% 1.88/1.30 % (2905298)Termination reason: Instruction limit
% 1.88/1.30 % (2905298)Termination phase: Saturation
% 1.88/1.30 % (2905298)Time elapsed: 0.080 s
% 1.88/1.30 % (2905298)Peak memory usage: 90 MB
% 1.88/1.30 % (2905298)Instructions burned: 129 (million)
% 1.88/1.30 % (2905297)Instruction limit reached!
% 1.88/1.30 % (2905297)------------------------------
% 1.88/1.30 % (2905297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.30 % (2905297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.30 % (2905297)CaDiCaL version: 2.1.3
% 1.88/1.30 % (2905297)Termination reason: Instruction limit
% 1.88/1.30 % (2905297)Termination phase: Saturation
% 1.88/1.30 % (2905297)Time elapsed: 0.094 s
% 1.88/1.30 % (2905297)Peak memory usage: 90 MB
% 1.88/1.30 % (2905297)Instructions burned: 140 (million)
% 1.88/1.30 % (2905300)lrs+10_1_sil=8000:sp=occurrence:random_seed=1987195770:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.88/1.30 % (2905300)Instruction limit reached!
% 1.88/1.30 % (2905300)------------------------------
% 1.88/1.30 % (2905300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.30 % (2905300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.30 % (2905300)CaDiCaL version: 2.1.3
% 1.88/1.30 % (2905300)Termination reason: Instruction limit
% 1.88/1.30 % (2905300)Termination phase: Saturation
% 1.88/1.30 % (2905300)Time elapsed: 0.087 s
% 1.88/1.30 % (2905300)Peak memory usage: 91 MB
% 1.88/1.30 % (2905300)Instructions burned: 286 (million)
% 1.88/1.30 % (2905307)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1098118572:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.88/1.30 % (2905308)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3651813893:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.88/1.30 % (2905307)Refutation not found, incomplete strategy
% 1.88/1.30 % (2905307)------------------------------
% 1.88/1.30 % (2905307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.30 % (2905307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.30 % (2905307)CaDiCaL version: 2.1.3
% 1.88/1.30 % (2905307)Termination reason: Refutation not found, incomplete strategy
% 1.88/1.30 % (2905307)Time elapsed: 0.003 s
% 1.88/1.30 % (2905307)Peak memory usage: 88 MB
% 1.88/1.30 % (2905307)Instructions burned: 2 (million)
% 1.88/1.30 % (2905296)Refutation found. Thanks to Tanya!
% 1.88/1.30 % SZS status Theorem for theBenchmark
% 1.88/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/1.51 % (2905296)------------------------------
% 0.14/1.51 % (2905296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.51 % (2905296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.51 % (2905296)CaDiCaL version: 2.1.3
% 0.14/1.51 % (2905296)Termination reason: Refutation
% 0.14/1.51 % (2905296)Time elapsed: 0.042 s
% 0.14/1.51 % (2905296)Peak memory usage: 89 MB
% 0.14/1.51 % (2905296)Instructions burned: 72 (million)
% 0.14/1.51 % (2905296)------------------------------
% 0.14/1.51 % (2905296)------------------------------
% 0.14/1.51 % (2905287)Success in time 0.47 s
% 0.14/1.51 % Vampire exiting
%------------------------------------------------------------------------------