%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM471+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:24:26 PM UTC 2026
% Result : Theorem 8.20s 2.73s
% Output : Refutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 167 ( 30 unt; 5 def)
% Number of atoms : 598 ( 156 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 762 ( 331 ~; 352 |; 46 &)
% ( 14 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 149 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
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(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
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(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(f39,conjecture,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,plain,
~ sdtlseqdt0(xp,xq),
inference(flattening,[],[f40]) ).
fof(f43,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f44,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f45]) ).
fof(f51,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f61,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f60]) ).
fof(f62,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(f63,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,[],[f62]) ).
fof(f68,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f69,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f73,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f78,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f77]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f81]) ).
fof(f91,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f92,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f91]) ).
fof(f93,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(f94,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,[],[f93]) ).
fof(f99,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f103,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f107,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f117,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f119,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f129,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f132,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f94]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f94]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f94]) ).
fof(f153,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f154,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f155,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f156,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f157,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f158,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f159,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f160,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f161,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f41]) ).
fof(f162,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f125]) ).
fof(f167,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f147]) ).
fof(f168,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f150]) ).
fof(f169,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f170,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f148]) ).
fof(f180,plain,
xm = sdtpldt0(xm,sz00),
inference(resolution,[],[f107,f154]) ).
fof(f221,plain,
( ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(xq,xp) ),
inference(resolution,[],[f132,f161]) ).
fof(f223,definition,
( spl2_1
<=> sdtlseqdt0(xq,xp) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f225,plain,
( sdtlseqdt0(xq,xp)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f227,definition,
( spl2_2
<=> aNaturalNumber0(xp) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f228,plain,
( aNaturalNumber0(xp)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( ~ aNaturalNumber0(xp)
| spl2_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl2_3
<=> aNaturalNumber0(xq) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f232,plain,
( aNaturalNumber0(xq)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( ~ aNaturalNumber0(xq)
| spl2_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f221,f231,f227,f223]) ).
fof(f338,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f162,f102]) ).
fof(f352,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f167,f103]) ).
fof(f463,plain,
( aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f169,f159]) ).
fof(f464,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[],[f169,f160]) ).
fof(f465,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f464,f155]) ).
fof(f466,plain,
( ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f463,f229]) ).
fof(f467,plain,
( aNaturalNumber0(xq)
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f465,f156]) ).
fof(f468,plain,
( ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f466,f155]) ).
fof(f469,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f467,f158]) ).
fof(f470,plain,
( sz00 = xl
| ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f468,f157]) ).
fof(f471,plain,
( ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f470,f158]) ).
fof(f472,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f471,f154]) ).
fof(f473,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f732,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(resolution,[],[f170,f157]) ).
fof(f733,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(resolution,[],[f170,f156]) ).
fof(f748,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f733,f155]) ).
fof(f749,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f732,f155]) ).
fof(f754,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f748,f158]) ).
fof(f755,plain,
( sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f749,f154]) ).
fof(f757,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f754,f160]) ).
fof(f758,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f755,f158]) ).
fof(f760,plain,
xm = sdtasdt0(xl,xp),
inference(forward_demodulation,[],[f758,f159]) ).
fof(f1322,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X0))
| sdtasdt0(X1,X0) = sdtasdt0(X1,X2) ),
inference(resolution,[],[f140,f130]) ).
fof(f1367,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f1322,f119]) ).
fof(f1391,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f1367,f103]) ).
fof(f1409,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X2)
| X0 = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1391,f103]) ).
fof(f1421,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f168,f103]) ).
fof(f1422,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f1421,f352]) ).
fof(f1442,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xl
| sdtsldt0(sdtasdt0(xl,X0),xl) = X0 ),
inference(resolution,[],[f1422,f155]) ).
fof(f1449,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(xl,X0),xl) = X0 ),
inference(forward_subsumption_resolution,[],[f1442,f158]) ).
fof(f1861,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f469,f233]) ).
fof(f1862,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl2_3 ),
inference(resolution,[],[f1861,f102]) ).
fof(f1863,plain,
( ~ aNaturalNumber0(xn)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f1862,f154]) ).
fof(f1864,plain,
( $false
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f1863,f153]) ).
fof(f1865,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f1864]) ).
fof(f2429,plain,
( xq = sdtsldt0(sdtasdt0(xl,xq),xl)
| ~ spl2_3 ),
inference(resolution,[],[f1449,f232]) ).
fof(f2720,definition,
( spl2_10
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f2721,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f2720]) ).
fof(f2722,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl2_10 ),
inference(avatar_component_clause,[],[f2720]) ).
fof(f2728,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl2_10 ),
inference(resolution,[],[f2722,f102]) ).
fof(f2729,plain,
( ~ aNaturalNumber0(xn)
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f2728,f154]) ).
fof(f2730,plain,
( $false
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f2729,f153]) ).
fof(f2731,plain,
spl2_10,
inference(avatar_contradiction_clause,[],[f2730]) ).
fof(f2784,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f757,f2721]) ).
fof(f2798,plain,
( ! [X0] :
( sdtpldt0(xm,X0) != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| xn = X0 )
| ~ spl2_10 ),
inference(superposition,[],[f117,f2784]) ).
fof(f2806,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl2_10 ),
inference(superposition,[],[f338,f2784]) ).
fof(f2807,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f2806,f153]) ).
fof(f2815,plain,
( ! [X0] :
( sdtpldt0(xm,X0) != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| xn = X0 )
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f2798,f154]) ).
fof(f2820,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f2807,f154]) ).
fof(f2828,plain,
( ! [X0] :
( sdtpldt0(xm,X0) != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(X0)
| xn = X0 )
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f2815,f153]) ).
fof(f3166,definition,
( spl2_12
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f3167,plain,
( sz00 != xn
| spl2_12 ),
inference(avatar_component_clause,[],[f3166]) ).
fof(f3168,plain,
( sz00 = xn
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f3166]) ).
fof(f3186,plain,
( sdtpldt0(xm,sz00) = sdtasdt0(xl,xq)
| ~ spl2_10
| ~ spl2_12 ),
inference(superposition,[],[f2784,f3168]) ).
fof(f3187,plain,
( xm = sdtasdt0(xl,xq)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f3186,f180]) ).
fof(f5003,plain,
( sdtsldt0(xm,xl) = xq
| ~ spl2_3
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f2429,f3187]) ).
fof(f5004,plain,
( xp = xq
| ~ spl2_3
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f5003,f159]) ).
fof(f5053,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl2_3
| ~ spl2_10
| ~ spl2_12 ),
inference(superposition,[],[f161,f5004]) ).
fof(f5157,plain,
( ~ aNaturalNumber0(xp)
| ~ spl2_3
| ~ spl2_10
| ~ spl2_12 ),
inference(resolution,[],[f5053,f129]) ).
fof(f5167,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f5157,f228]) ).
fof(f5168,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f5167]) ).
fof(f13758,plain,
! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xl
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f1409,f760]) ).
fof(f13936,plain,
! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xl
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f13758,f155]) ).
fof(f14012,plain,
! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f13936,f158]) ).
fof(f14067,plain,
( ! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(X0) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f14012,f228]) ).
fof(f34882,plain,
( xm != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sz00)
| sz00 = xn
| ~ spl2_10 ),
inference(superposition,[],[f2828,f180]) ).
fof(f34883,plain,
( xm != sdtasdt0(xl,xq)
| sz00 = xn
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f34882,f99]) ).
fof(f34884,plain,
( xm != sdtasdt0(xl,xq)
| ~ spl2_10
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f34883,f3167]) ).
fof(f53320,plain,
( ~ sdtlseqdt0(xq,xp)
| xp = xq
| ~ aNaturalNumber0(xq)
| ~ spl2_2
| ~ spl2_10 ),
inference(resolution,[],[f14067,f2820]) ).
fof(f53336,plain,
( xp = xq
| ~ aNaturalNumber0(xq)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f53320,f225]) ).
fof(f53337,plain,
( xp = xq
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f53336,f232]) ).
fof(f53604,plain,
( xm != sdtasdt0(xl,xp)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| spl2_12 ),
inference(superposition,[],[f34884,f53337]) ).
fof(f53615,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f53604,f760]) ).
fof(f53616,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| spl2_12 ),
inference(avatar_contradiction_clause,[],[f53615]) ).
cnf(s1,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f234]) ).
cnf(s2,plain,
spl2_2,
inference(sat_conversion,[],[f473]) ).
cnf(s5,plain,
spl2_3,
inference(sat_conversion,[],[f1865]) ).
cnf(s9,plain,
spl2_10,
inference(sat_conversion,[],[f2731]) ).
cnf(s11,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| ~ spl2_12 ),
inference(sat_conversion,[],[f5168]) ).
cnf(s31,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10
| spl2_12 ),
inference(sat_conversion,[],[f53616]) ).
cnf(s40,plain,
~ spl2_12,
inference(rat,[],[s11,s5,s9,s2]) ).
cnf(s45,plain,
~ spl2_1,
inference(rat,[],[s31,s2,s9,s5,s40]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s1,s5,s2,s45]) ).
fof(f53743,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM471+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:04:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.02/2.43 % (1128287)Will run a generic schedule for satisfiability detection.
% 14.02/2.43 % (1128297)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3308962088:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.02/2.43 % (1128293)% WARNING: option uhcvi not known.
% 14.02/2.43 % (1128292)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2142572642_2999 on theBenchmark for (2999ds/0Mi)
% 14.02/2.43 % (1128293)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=626406236:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.02/2.43 % (1128294)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2466141925:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.02/2.43 % (1128295)dis+10_1_sil=32000:sp=arity:random_seed=335300188:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.02/2.43 % (1128296)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4190802488:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.02/2.43 % (1128298)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=411753508:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.02/2.43 % TRYING [1]
% 14.02/2.43 % TRYING [2]
% 14.02/2.43 % TRYING [3]
% 14.02/2.43 % TRYING [4]
% 14.02/2.43 % (1128297)Instruction limit reached!
% 14.02/2.43 % (1128297)------------------------------
% 14.02/2.43 % (1128297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.43 % (1128297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.43 % (1128297)CaDiCaL version: 2.1.3
% 14.02/2.43 % (1128297)Termination reason: Instruction limit
% 14.02/2.43 % (1128297)Termination phase: Saturation
% 14.02/2.43 % (1128297)Time elapsed: 0.043 s
% 14.02/2.43 % (1128297)Peak memory usage: 14 MB
% 14.02/2.43 % (1128297)Instructions burned: 134 (million)
% 14.02/2.43 % TRYING [5]
% 14.02/2.43 % (1128306)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1159472380:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.02/2.43 % TRYING [1]
% 14.02/2.43 % TRYING [2]
% 14.02/2.43 % TRYING [3]
% 14.02/2.43 % TRYING [4]
% 14.02/2.43 % (1128295)Instruction limit reached!
% 14.02/2.43 % (1128295)------------------------------
% 14.02/2.43 % (1128295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.43 % (1128295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.43 % (1128295)CaDiCaL version: 2.1.3
% 14.02/2.43 % (1128295)Termination reason: Instruction limit
% 14.02/2.43 % (1128295)Termination phase: Saturation
% 14.02/2.43 % (1128295)Time elapsed: 0.060 s
% 14.02/2.43 % (1128295)Peak memory usage: 12 MB
% 14.02/2.43 % (1128295)Instructions burned: 104 (million)
% 14.02/2.43 % TRYING [5]
% 14.02/2.43 % (1128296)Instruction limit reached!
% 14.02/2.43 % (1128296)------------------------------
% 14.02/2.43 % (1128296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.43 % (1128296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.43 % (1128296)CaDiCaL version: 2.1.3
% 14.02/2.43 % (1128296)Termination reason: Instruction limit
% 14.02/2.43 % (1128296)Termination phase: Saturation
% 14.02/2.43 % (1128296)Time elapsed: 0.068 s
% 14.02/2.43 % (1128296)Peak memory usage: 13 MB
% 14.02/2.43 % (1128296)Instructions burned: 116 (million)
% 14.02/2.43 % (1128308)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=98811878:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.02/2.43 % (1128309)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3960015838:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.02/2.43 % TRYING [6]
% 14.02/2.43 % (1128298)Instruction limit reached!
% 14.02/2.43 % (1128298)------------------------------
% 14.02/2.43 % (1128298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.43 % (1128298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.43 % (1128298)CaDiCaL version: 2.1.3
% 14.02/2.43 % (1128298)Termination reason: Instruction limit
% 14.02/2.43 % (1128298)Termination phase: Saturation
% 14.02/2.43 % (1128298)Time elapsed: 0.099 s
% 14.02/2.43 % (1128298)Peak memory usage: 15 MB
% 14.02/2.43 % (1128298)Instructions burned: 160 (million)
% 14.02/2.43 % TRYING [6]
% 14.02/2.43 % (1128312)ott-21_1_sil=16000:fs=off:random_seed=3959891963:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.02/2.43 % (1128308)Instruction limit reached!
% 14.02/2.43 % (1128308)------------------------------
% 14.02/2.43 % (1128308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128308)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128308)Termination reason: Instruction limit
% 8.20/2.73 % (1128308)Termination phase: Saturation
% 8.20/2.73 % (1128308)Time elapsed: 0.066 s
% 8.20/2.73 % (1128308)Peak memory usage: 12 MB
% 8.20/2.73 % (1128308)Instructions burned: 131 (million)
% 8.20/2.73 % (1128314)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1391513682:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.20/2.73 % (1128306)Instruction limit reached!
% 8.20/2.73 % (1128306)------------------------------
% 8.20/2.73 % (1128306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128306)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128306)Termination reason: Instruction limit
% 8.20/2.73 % (1128306)Termination phase: Finite model building SAT solving
% 8.20/2.73 % (1128306)Time elapsed: 0.149 s
% 8.20/2.73 % (1128306)Peak memory usage: 33 MB
% 8.20/2.73 % (1128306)Instructions burned: 717 (million)
% 8.20/2.73 % (1128316)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=446353171:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.20/2.73 % (1128312)Instruction limit reached!
% 8.20/2.73 % (1128312)------------------------------
% 8.20/2.73 % (1128312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128312)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128312)Termination reason: Instruction limit
% 8.20/2.73 % (1128312)Termination phase: Saturation
% 8.20/2.73 % (1128312)Time elapsed: 0.089 s
% 8.20/2.73 % (1128312)Peak memory usage: 14 MB
% 8.20/2.73 % (1128312)Instructions burned: 180 (million)
% 8.20/2.73 % TRYING [1]
% 8.20/2.73 % TRYING [2]
% 8.20/2.73 % TRYING [3]
% 8.20/2.73 % TRYING [4]
% 8.20/2.73 % (1128318)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2811831989:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.20/2.73 % TRYING [7]
% 8.20/2.73 % TRYING [5]
% 8.20/2.73 % TRYING [6]
% 8.20/2.73 % (1128316)Instruction limit reached!
% 8.20/2.73 % (1128316)------------------------------
% 8.20/2.73 % (1128316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128316)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128316)Termination reason: Instruction limit
% 8.20/2.73 % (1128316)Termination phase: Finite model building constraint generation
% 8.20/2.73 % (1128316)Time elapsed: 0.175 s
% 8.20/2.73 % (1128316)Peak memory usage: 21 MB
% 8.20/2.73 % (1128316)Instructions burned: 866 (million)
% 8.20/2.73 % (1128320)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1018433187:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.20/2.73 % (1128309)Instruction limit reached!
% 8.20/2.73 % (1128309)------------------------------
% 8.20/2.73 % (1128309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128309)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128309)Termination reason: Instruction limit
% 8.20/2.73 % (1128309)Termination phase: Saturation
% 8.20/2.73 % (1128309)Time elapsed: 0.357 s
% 8.20/2.73 % (1128309)Peak memory usage: 19 MB
% 8.20/2.73 % (1128309)Instructions burned: 685 (million)
% 8.20/2.73 % (1128322)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2322008689:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 8.20/2.73 % TRYING [14]
% 8.20/2.73 % (1128314)Instruction limit reached!
% 8.20/2.73 % (1128314)------------------------------
% 8.20/2.73 % (1128314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128314)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128314)Termination reason: Instruction limit
% 8.20/2.73 % (1128314)Termination phase: Saturation
% 8.20/2.73 % (1128314)Time elapsed: 0.315 s
% 8.20/2.73 % (1128314)Peak memory usage: 15 MB
% 8.20/2.73 % (1128314)Instructions burned: 477 (million)
% 8.20/2.73 % (1128324)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1824495717:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.20/2.73 % (1128320)Instruction limit reached!
% 8.20/2.73 % (1128320)------------------------------
% 8.20/2.73 % (1128320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128320)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128320)Termination reason: Instruction limit
% 8.20/2.73 % (1128320)Termination phase: Finite model building constraint generation
% 8.20/2.73 % (1128320)Time elapsed: 0.183 s
% 8.20/2.73 % (1128320)Peak memory usage: 73 MB
% 8.20/2.73 % (1128320)Instructions burned: 892 (million)
% 8.20/2.73 % (1128326)fmb+10_1_sil=64000:random_seed=1022001375:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 8.20/2.73 % TRYING [1]
% 8.20/2.73 % TRYING [2]
% 8.20/2.73 % TRYING [3]
% 8.20/2.73 % TRYING [4]
% 8.20/2.73 % TRYING [8]
% 8.20/2.73 % TRYING [5]
% 8.20/2.73 % TRYING [6]
% 8.20/2.73 % (1128322)Instruction limit reached!
% 8.20/2.73 % (1128322)------------------------------
% 8.20/2.73 % (1128322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128322)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128322)Termination reason: Instruction limit
% 8.20/2.73 % (1128322)Termination phase: Saturation
% 8.20/2.73 % (1128322)Time elapsed: 0.333 s
% 8.20/2.73 % (1128322)Peak memory usage: 20 MB
% 8.20/2.73 % (1128322)Instructions burned: 692 (million)
% 8.20/2.73 % (1128328)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4287738889:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 8.20/2.73 % TRYING [20]
% 8.20/2.73 % (1128318)Instruction limit reached!
% 8.20/2.73 % (1128318)------------------------------
% 8.20/2.73 % (1128318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128318)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128318)Termination reason: Instruction limit
% 8.20/2.73 % (1128318)Termination phase: Saturation
% 8.20/2.73 % (1128318)Time elapsed: 0.638 s
% 8.20/2.73 % (1128318)Peak memory usage: 22 MB
% 8.20/2.73 % (1128318)Instructions burned: 1179 (million)
% 8.20/2.73 % (1128330)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2250204911:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.20/2.73 % TRYING [8]
% 8.20/2.73 % (1128324)Instruction limit reached!
% 8.20/2.73 % (1128324)------------------------------
% 8.20/2.73 % (1128324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128324)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128324)Termination reason: Instruction limit
% 8.20/2.73 % (1128324)Termination phase: Saturation
% 8.20/2.73 % (1128324)Time elapsed: 0.499 s
% 8.20/2.73 % (1128324)Peak memory usage: 20 MB
% 8.20/2.73 % (1128324)Instructions burned: 879 (million)
% 8.20/2.73 % TRYING [7]
% 8.20/2.73 % (1128332)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3392883018:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.20/2.73 % (1128330)Instruction limit reached!
% 8.20/2.73 % (1128330)------------------------------
% 8.20/2.73 % (1128330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128330)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128330)Termination reason: Instruction limit
% 8.20/2.73 % (1128330)Termination phase: Finite model building constraint generation
% 8.20/2.73 % (1128330)Time elapsed: 0.342 s
% 8.20/2.73 % (1128330)Peak memory usage: 66 MB
% 8.20/2.73 % (1128330)Instructions burned: 921 (million)
% 8.20/2.73 % (1128334)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2201564130:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.20/2.73 % TRYING [9]
% 8.20/2.73 % TRYING [8]
% 8.20/2.73 % (1128334)Instruction limit reached!
% 8.20/2.73 % (1128334)------------------------------
% 8.20/2.73 % (1128334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.73 % (1128334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.73 % (1128334)CaDiCaL version: 2.1.3
% 8.20/2.73 % (1128334)Termination reason: Instruction limit
% 8.20/2.73 % (1128334)Termination phase: Saturation
% 8.20/2.73 % (1128334)Time elapsed: 0.696 s
% 8.20/2.73 % (1128334)Peak memory usage: 26 MB
% 8.20/2.73 % (1128334)Instructions burned: 1474 (million)
% 8.20/2.73 % (1128336)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=608522175:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 8.20/2.73 % TRYING [77]
% 8.20/2.73 % (1128332) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1128287-1128332"...
% 8.20/2.73 % (1128332)...printing done.
% 8.20/2.73 % (1128332)Refutation found. Thanks to Tanya!
% 8.20/2.73 % SZS status Theorem for theBenchmark
% 8.20/2.73 % SZS output start Proof for theBenchmark
% See solution above
% 8.20/2.74 % (1128332)------------------------------
% 8.20/2.74 % (1128332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/2.74 % (1128332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.74 % (1128332)CaDiCaL version: 2.1.3
% 8.20/2.74 % (1128332)Termination reason: Refutation
% 8.20/2.74 % (1128332)Time elapsed: 1.211 s
% 8.20/2.74 % (1128332)Peak memory usage: 31 MB
% 8.20/2.74 % (1128332)Instructions burned: 2328 (million)
% 8.20/2.74 % (1128287)Success in time 2.319 s
% 8.20/2.74 % Vampire exiting
%------------------------------------------------------------------------------