%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM513+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 : 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 12:15:32 PM UTC 2026
% Result : Theorem 6.37s 1.99s
% Output : Refutation 8.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 113 ( 44 unt; 4 def)
% Number of atoms : 441 ( 203 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 513 ( 185 ~; 180 |; 127 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 99 ( 83 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
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(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(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__2306) ).
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(f49,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X0) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f54,axiom,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm)
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2576) ).
fof(f55,conjecture,
( ( aNaturalNumber0(sdtsldt0(xk,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr)) )
=> ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xk,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr)) )
=> ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f60,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(f62,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(f63,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f49]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f68,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f67]) ).
fof(f84,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(f85,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,[],[f84]) ).
fof(f113,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(f114,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,[],[f113]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f123]) ).
fof(f131,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,[],[f60]) ).
fof(f132,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,[],[f131]) ).
fof(f136,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,[],[f62]) ).
fof(f137,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,[],[f136]) ).
fof(f140,plain,
( sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xk,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f141,plain,
( sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xk,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr)) ),
inference(flattening,[],[f140]) ).
fof(f155,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,[],[f114]) ).
fof(f156,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,[],[f155]) ).
fof(f170,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(sK11)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK11)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11)],[f132]) ).
fof(f172,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK14)
& xk = sdtasdt0(xr,sK14)
& 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,[sK14]),skolemize(X0,sK14)],[f137]) ).
fof(f173,plain,
( aNaturalNumber0(sK15)
& xk = sdtpldt0(xr,sK15)
& aNaturalNumber0(sK16)
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK16)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f63]) ).
fof(f185,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f200,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f233,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,[],[f156]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f249,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f250,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f268,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f170]) ).
fof(f269,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK11),
inference(cnf_transformation,[],[f170]) ).
fof(f270,plain,
aNaturalNumber0(sK11),
inference(cnf_transformation,[],[f170]) ).
fof(f275,plain,
sz00 != xp,
inference(cnf_transformation,[],[f170]) ).
fof(f288,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f289,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f290,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f299,plain,
sz00 != xr,
inference(cnf_transformation,[],[f172]) ).
fof(f300,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f172]) ).
fof(f303,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f172]) ).
fof(f304,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f173]) ).
fof(f305,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK16),
inference(cnf_transformation,[],[f173]) ).
fof(f306,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f173]) ).
fof(f330,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f333,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f339,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f141]) ).
fof(f340,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f141]) ).
fof(f348,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,[],[f233]) ).
fof(f353,definition,
sF22 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f354,plain,
sdtsldt0(xn,xr) = sF22,
inference(reorient_equations,[],[f353]) ).
fof(f355,definition,
sF23 = sdtasdt0(sF22,xm),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f356,plain,
sdtasdt0(sF22,xm) = sF23,
inference(reorient_equations,[],[f355]) ).
fof(f357,definition,
sF24 = sdtsldt0(xk,xr),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f358,plain,
sdtsldt0(xk,xr) = sF24,
inference(reorient_equations,[],[f357]) ).
fof(f359,definition,
sF25 = sdtasdt0(xp,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f360,plain,
sdtasdt0(xp,sF24) = sF25,
inference(reorient_equations,[],[f359]) ).
fof(f361,plain,
sF23 != sF25,
inference(definition_folding,[],[f340,f360,f358,f356,f354]) ).
fof(f362,plain,
aNaturalNumber0(sF22),
inference(definition_folding,[],[f339,f354]) ).
fof(f423,plain,
( aNaturalNumber0(sF23)
| ~ aNaturalNumber0(sF22)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f185,f356]) ).
fof(f425,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f185,f289]) ).
fof(f428,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f425,f249]) ).
fof(f430,plain,
( aNaturalNumber0(sF23)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f423,f362]) ).
fof(f431,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[],[f428,f290]) ).
fof(f433,plain,
aNaturalNumber0(sF23),
inference(forward_subsumption_resolution,[],[f430,f250]) ).
fof(f523,plain,
( ~ doDivides0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK16)
| sz00 = xr
| sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f348,f305]) ).
fof(f534,plain,
( ~ aNaturalNumber0(sK16)
| sz00 = xr
| sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f523,f304]) ).
fof(f541,plain,
( sz00 = xr
| sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f534,f306]) ).
fof(f548,plain,
( sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f541,f299]) ).
fof(f595,plain,
( sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f548,f303]) ).
fof(f610,plain,
sK16 = sdtsldt0(sdtasdt0(xn,xm),xr),
inference(forward_subsumption_resolution,[],[f595,f431]) ).
fof(f620,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),xr),
inference(superposition,[],[f330,f289]) ).
fof(f624,plain,
sdtasdt0(xn,xm) = sdtasdt0(sK16,xr),
inference(forward_demodulation,[],[f620,f610]) ).
fof(f685,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK11)
| sz00 = xp
| sdtsldt0(sdtasdt0(xn,xm),xp) = sK11
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f348,f269]) ).
fof(f687,plain,
( ~ aNaturalNumber0(sK11)
| sz00 = xp
| sdtsldt0(sdtasdt0(xn,xm),xp) = sK11
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f685,f268]) ).
fof(f688,plain,
( sz00 = xp
| sdtsldt0(sdtasdt0(xn,xm),xp) = sK11
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f687,f270]) ).
fof(f689,plain,
( sdtsldt0(sdtasdt0(xn,xm),xp) = sK11
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f688,f275]) ).
fof(f690,plain,
( sdtsldt0(sdtasdt0(xn,xm),xp) = sK11
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f689,f249]) ).
fof(f691,plain,
sdtsldt0(sdtasdt0(xn,xm),xp) = sK11,
inference(forward_subsumption_resolution,[],[f690,f431]) ).
fof(f692,plain,
xk = sK11,
inference(forward_demodulation,[],[f691,f288]) ).
fof(f699,plain,
sF24 = sdtsldt0(sK11,xr),
inference(superposition,[],[f358,f692]) ).
fof(f726,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f300,f238]) ).
fof(f728,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f726,f299]) ).
fof(f729,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f728,f303]) ).
fof(f730,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) ),
inference(forward_subsumption_resolution,[],[f729,f290]) ).
fof(f731,plain,
! [X0] :
( sdtasdt0(X0,sdtsldt0(sK11,xr)) = sdtsldt0(sdtasdt0(X0,sK11),xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f730,f692]) ).
fof(f732,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF24) = sdtsldt0(sdtasdt0(X0,sK11),xr) ),
inference(forward_demodulation,[],[f731,f699]) ).
fof(f740,plain,
sdtasdt0(xp,sF24) = sdtsldt0(sdtasdt0(xp,sK11),xr),
inference(resolution,[],[f732,f249]) ).
fof(f749,plain,
sdtasdt0(xp,sF24) = sdtsldt0(sdtasdt0(xn,xm),xr),
inference(forward_demodulation,[],[f740,f269]) ).
fof(f754,plain,
sK16 = sdtasdt0(xp,sF24),
inference(forward_demodulation,[],[f749,f610]) ).
fof(f756,plain,
sK16 = sF25,
inference(forward_demodulation,[],[f754,f360]) ).
fof(f758,plain,
sK16 != sF23,
inference(superposition,[],[f361,f756]) ).
fof(f912,plain,
! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xr)
| sdtasdt0(sdtsldt0(xn,xr),xm) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| sz00 = xr
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f200,f333]) ).
fof(f943,plain,
! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xr)
| sdtasdt0(sdtsldt0(xn,xr),xm) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f912,f299]) ).
fof(f973,plain,
! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(X0,xr)
| sdtasdt0(sdtsldt0(xn,xr),xm) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(forward_subsumption_resolution,[],[f943,f303]) ).
fof(f1012,plain,
! [X0] :
( sdtasdt0(X0,xr) != sdtasdt0(sK16,xr)
| sdtasdt0(sdtsldt0(xn,xr),xm) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(forward_demodulation,[],[f973,f624]) ).
fof(f1047,plain,
! [X0] :
( sdtasdt0(sF22,xm) = X0
| sdtasdt0(X0,xr) != sdtasdt0(sK16,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(forward_demodulation,[],[f1012,f354]) ).
fof(f1063,plain,
! [X0] :
( sF23 = X0
| sdtasdt0(X0,xr) != sdtasdt0(sK16,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(forward_demodulation,[],[f1047,f356]) ).
fof(f1071,plain,
! [X0] :
( ~ aNaturalNumber0(sdtasdt0(sF22,xm))
| sF23 = X0
| sdtasdt0(X0,xr) != sdtasdt0(sK16,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1063,f354]) ).
fof(f1076,plain,
! [X0] :
( ~ aNaturalNumber0(sF23)
| sF23 = X0
| sdtasdt0(X0,xr) != sdtasdt0(sK16,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1071,f356]) ).
fof(f1080,plain,
! [X0] :
( sdtasdt0(X0,xr) != sdtasdt0(sK16,xr)
| sF23 = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1076,f433]) ).
fof(f1087,plain,
( sK16 = sF23
| ~ aNaturalNumber0(sK16) ),
inference(equality_resolution,[],[f1080]) ).
fof(f1088,plain,
~ aNaturalNumber0(sK16),
inference(forward_subsumption_resolution,[],[f1087,f758]) ).
fof(f1093,plain,
$false,
inference(forward_subsumption_resolution,[],[f1088,f306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM513+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.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 20:12:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.37/1.99 % (2906200)Detected formulas, will run a generic FOF schedule.
% 6.37/1.99 % (2906209)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2551605602:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.37/1.99 % (2906209)Instruction limit reached!
% 6.37/1.99 % (2906209)------------------------------
% 6.37/1.99 % (2906209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906209)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906209)Termination reason: Instruction limit
% 6.37/1.99 % (2906209)Termination phase: Saturation
% 6.37/1.99 % (2906209)Time elapsed: 0.035 s
% 6.37/1.99 % (2906209)Peak memory usage: 89 MB
% 6.37/1.99 % (2906209)Instructions burned: 120 (million)
% 6.37/1.99 % (2906210)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2176461573:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.37/1.99 % (2906211)dis-21_1_sil=8000:lcm=predicate:random_seed=2559633192: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)
% 6.37/1.99 % (2906205)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=868493672:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.37/1.99 % (2906208)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1183523828:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.37/1.99 % (2906207)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=2827581474:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.37/1.99 % (2906206)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=3264021190:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.37/1.99 % (2906208)Instruction limit reached!
% 6.37/1.99 % (2906208)------------------------------
% 6.37/1.99 % (2906208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906208)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906208)Termination reason: Instruction limit
% 6.37/1.99 % (2906208)Termination phase: Saturation
% 6.37/1.99 % (2906208)Time elapsed: 0.063 s
% 6.37/1.99 % (2906208)Peak memory usage: 89 MB
% 6.37/1.99 % (2906208)Instructions burned: 111 (million)
% 6.37/1.99 % (2906211)Instruction limit reached!
% 6.37/1.99 % (2906211)------------------------------
% 6.37/1.99 % (2906211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906211)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906211)Termination reason: Instruction limit
% 6.37/1.99 % (2906211)Termination phase: Saturation
% 6.37/1.99 % (2906211)Time elapsed: 0.080 s
% 6.37/1.99 % (2906211)Peak memory usage: 91 MB
% 6.37/1.99 % (2906211)Instructions burned: 130 (million)
% 6.37/1.99 % (2906210)Instruction limit reached!
% 6.37/1.99 % (2906210)------------------------------
% 6.37/1.99 % (2906210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906210)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906210)Termination reason: Instruction limit
% 6.37/1.99 % (2906210)Termination phase: Saturation
% 6.37/1.99 % (2906210)Time elapsed: 0.088 s
% 6.37/1.99 % (2906210)Peak memory usage: 90 MB
% 6.37/1.99 % (2906210)Instructions burned: 140 (million)
% 6.37/1.99 % (2906213)lrs+10_1_sil=8000:sp=occurrence:random_seed=2920967063:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.37/1.99 % (2906213)Instruction limit reached!
% 6.37/1.99 % (2906213)------------------------------
% 6.37/1.99 % (2906213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906213)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906213)Termination reason: Instruction limit
% 6.37/1.99 % (2906213)Termination phase: Saturation
% 6.37/1.99 % (2906213)Time elapsed: 0.083 s
% 6.37/1.99 % (2906213)Peak memory usage: 91 MB
% 6.37/1.99 % (2906213)Instructions burned: 286 (million)
% 6.37/1.99 % (2906220)lrs+10_1_sil=32000:urr=on:br=off:random_seed=948035319:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.37/1.99 % (2906222)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=3535224468:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.37/1.99 % (2906221)lrs+1011_1_sil=32000:sp=occurrence:random_seed=53225824:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.37/1.99 % (2906220)Instruction limit reached!
% 6.37/1.99 % (2906220)------------------------------
% 6.37/1.99 % (2906220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906220)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906220)Termination reason: Instruction limit
% 6.37/1.99 % (2906220)Termination phase: Saturation
% 6.37/1.99 % (2906220)Time elapsed: 0.084 s
% 6.37/1.99 % (2906220)Peak memory usage: 96 MB
% 6.37/1.99 % (2906220)Instructions burned: 157 (million)
% 6.37/1.99 % (2906224)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1268906844:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.37/1.99 % (2906222)Instruction limit reached!
% 6.37/1.99 % (2906222)------------------------------
% 6.37/1.99 % (2906222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906222)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906222)Termination reason: Instruction limit
% 6.37/1.99 % (2906222)Termination phase: Saturation
% 6.37/1.99 % (2906222)Time elapsed: 0.121 s
% 6.37/1.99 % (2906222)Peak memory usage: 97 MB
% 6.37/1.99 % (2906222)Instructions burned: 250 (million)
% 6.37/1.99 % (2906224)Instruction limit reached!
% 6.37/1.99 % (2906224)------------------------------
% 6.37/1.99 % (2906224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906224)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906224)Termination reason: Instruction limit
% 6.37/1.99 % (2906224)Termination phase: Saturation
% 6.37/1.99 % (2906224)Time elapsed: 0.087 s
% 6.37/1.99 % (2906224)Peak memory usage: 90 MB
% 6.37/1.99 % (2906224)Instructions burned: 294 (million)
% 6.37/1.99 % (2906221)Instruction limit reached!
% 6.37/1.99 % (2906221)------------------------------
% 6.37/1.99 % (2906221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906221)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906221)Termination reason: Instruction limit
% 6.37/1.99 % (2906221)Termination phase: Saturation
% 6.37/1.99 % (2906221)Time elapsed: 0.200 s
% 6.37/1.99 % (2906221)Peak memory usage: 92 MB
% 6.37/1.99 % (2906221)Instructions burned: 325 (million)
% 6.37/1.99 % (2906228)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1391997819:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.37/1.99 % (2906230)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3703832317:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.37/1.99 % (2906231)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=186930749:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.37/1.99 % (2906231)Instruction limit reached!
% 6.37/1.99 % (2906231)------------------------------
% 6.37/1.99 % (2906231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906231)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906231)Termination reason: Instruction limit
% 6.37/1.99 % (2906231)Termination phase: Saturation
% 6.37/1.99 % (2906231)Time elapsed: 0.035 s
% 6.37/1.99 % (2906231)Peak memory usage: 89 MB
% 6.37/1.99 % (2906231)Instructions burned: 131 (million)
% 6.37/1.99 % (2906230)Instruction limit reached!
% 6.37/1.99 % (2906230)------------------------------
% 6.37/1.99 % (2906230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906230)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906230)Termination reason: Instruction limit
% 6.37/1.99 % (2906230)Termination phase: Saturation
% 6.37/1.99 % (2906230)Time elapsed: 0.067 s
% 6.37/1.99 % (2906230)Peak memory usage: 91 MB
% 6.37/1.99 % (2906230)Instructions burned: 114 (million)
% 6.37/1.99 % (2906232)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2178893066:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.37/1.99 % (2906232)Instruction limit reached!
% 6.37/1.99 % (2906232)------------------------------
% 6.37/1.99 % (2906232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906232)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906232)Termination reason: Instruction limit
% 6.37/1.99 % (2906232)Termination phase: Saturation
% 6.37/1.99 % (2906232)Time elapsed: 0.060 s
% 6.37/1.99 % (2906232)Peak memory usage: 89 MB
% 6.37/1.99 % (2906232)Instructions burned: 114 (million)
% 6.37/1.99 % (2906236)lrs+10_1_sil=8000:sp=occurrence:random_seed=1586184867:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.37/1.99 % (2906205)First to succeed.
% 6.37/1.99 % (2906205)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2906200"
% 6.37/1.99 % (2906237)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3833499099:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.37/1.99 % (2906240)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=526012262:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.37/1.99 % (2906206)Also succeeded, but the first one will report.
% 6.37/1.99 % (2906236)Instruction limit reached!
% 6.37/1.99 % (2906236)------------------------------
% 6.37/1.99 % (2906236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.99 % (2906236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.99 % (2906236)CaDiCaL version: 2.1.3
% 6.37/1.99 % (2906236)Termination reason: Instruction limit
% 6.37/1.99 % (2906236)Termination phase: Saturation
% 6.37/1.99 % (2906236)Time elapsed: 0.274 s
% 6.37/1.99 % (2906236)Peak memory usage: 97 MB
% 6.37/1.99 % (2906236)Instructions burned: 909 (million)
% 6.37/1.99 % (2906205)Refutation found. Thanks to Tanya!
% 6.37/1.99 % SZS status Theorem for theBenchmark
% 6.37/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.62/2.18 % (2906205)------------------------------
% 8.62/2.18 % (2906205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.18 % (2906205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.18 % (2906205)CaDiCaL version: 2.1.3
% 8.62/2.18 % (2906205)Termination reason: Refutation
% 8.62/2.18 % (2906205)Time elapsed: 0.709 s
% 8.62/2.18 % (2906205)Peak memory usage: 129 MB
% 8.62/2.18 % (2906205)Instructions burned: 1062 (million)
% 8.62/2.18 % (2906205)------------------------------
% 8.62/2.18 % (2906205)------------------------------
% 8.62/2.18 % (2906200)Success in time 1.145 s
% 8.62/2.18 % Vampire exiting
%------------------------------------------------------------------------------