%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM542+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 : n004.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 12:24:44 PM UTC 2026
% Result : Theorem 90.71s 13.24s
% Output : Refutation 90.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 105 ( 11 unt; 2 def)
% Number of atoms : 388 ( 24 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 472 ( 189 ~; 203 |; 54 &)
% ( 13 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn 110 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> X0 != szszuzczcdt0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f54,axiom,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1964) ).
fof(f55,conjecture,
( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f93,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f98,plain,
! [X0] :
( X0 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f101,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f109]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f132,plain,
( sdtlseqdt0(xm,xn)
<~> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f145]) ).
fof(f160,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( aElementOf0(sK12(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0) )
| aElementOf0(sK12(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f174]) ).
fof(f178,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f186,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f188,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f189,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f228,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f232,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f235,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f237,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f241,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f261,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f262,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f263,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f264,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f273,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f274,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f275,plain,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f178]) ).
fof(f276,plain,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f178]) ).
fof(f289,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f264]) ).
fof(f290,plain,
! [X3,X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f263]) ).
fof(f291,plain,
! [X3,X0] :
( ~ aElementOf0(X3,slbdtrb0(X0))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f262]) ).
fof(f292,plain,
! [X3,X0] :
( ~ aElementOf0(X3,slbdtrb0(X0))
| sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f261]) ).
fof(f296,definition,
( spl13_1
<=> sdtlseqdt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f297,plain,
( ~ sdtlseqdt0(xm,xn)
| spl13_1 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( sdtlseqdt0(xm,xn)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f300,definition,
( spl13_2
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f301,plain,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| spl13_2 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f275,f300,f296]) ).
fof(f304,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f276,f302]) ).
fof(f305,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f304,f300,f296]) ).
fof(f352,plain,
aSet0(slbdtrb0(xm)),
inference(unit_resulting_resolution,[],[f289,f274]) ).
fof(f353,plain,
aSet0(slbdtrb0(xn)),
inference(unit_resulting_resolution,[],[f289,f273]) ).
fof(f445,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(unit_resulting_resolution,[],[f228,f273]) ).
fof(f476,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(xn)),szNzAzT0),
inference(unit_resulting_resolution,[],[f228,f445]) ).
fof(f864,plain,
sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(xn)),szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn)))),
inference(unit_resulting_resolution,[],[f237,f476]) ).
fof(f21181,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xn)) )
| ~ spl13_2 ),
inference(resolution,[],[f186,f302]) ).
fof(f21186,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,slbdtrb0(xn)) )
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f21181,f353]) ).
fof(f43705,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| spl13_1 ),
inference(unit_resulting_resolution,[],[f241,f297,f274,f273]) ).
fof(f51256,plain,
( aElementOf0(xn,slbdtrb0(xm))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f290,f274,f273,f43705]) ).
fof(f51304,plain,
( aElementOf0(xn,slbdtrb0(xn))
| spl13_1
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f21186,f51256]) ).
fof(f51350,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xn)
| spl13_1
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f292,f273,f51304]) ).
fof(f51400,plain,
( sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(xn)),szszuzczcdt0(xn))
| spl13_1
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f235,f273,f445,f51350]) ).
fof(f51461,plain,
( sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn))),szszuzczcdt0(szszuzczcdt0(xn)))
| spl13_1
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f235,f445,f476,f51400]) ).
fof(f55733,plain,
( ~ sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn))),szszuzczcdt0(szszuzczcdt0(xn)))
| szszuzczcdt0(szszuzczcdt0(xn)) = szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn)))
| ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn))),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(xn)),szNzAzT0) ),
inference(resolution,[],[f239,f864]) ).
fof(f55889,plain,
( ~ sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn))),szszuzczcdt0(szszuzczcdt0(xn)))
| ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn))),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(xn)),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f55733,f232]) ).
fof(f56003,plain,
( ~ sdtlseqdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn))),szszuzczcdt0(szszuzczcdt0(xn)))
| ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(xn)),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f55889,f228]) ).
fof(f56023,plain,
( ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(xn)),szNzAzT0)
| spl13_1
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f56003,f51461]) ).
fof(f56037,plain,
( $false
| spl13_1
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f56023,f476]) ).
fof(f56038,plain,
( spl13_1
| ~ spl13_2 ),
inference(avatar_contradiction_clause,[],[f56037]) ).
fof(f56051,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xn))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f189,f353,f352,f301]) ).
fof(f56053,plain,
( ~ aSet0(slbdtrb0(xm))
| aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| ~ aSet0(slbdtrb0(xn))
| spl13_2 ),
inference(resolution,[],[f301,f188]) ).
fof(f56054,plain,
( aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| ~ aSet0(slbdtrb0(xn))
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f56053,f352]) ).
fof(f56055,plain,
( aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f56054,f353]) ).
fof(f59250,plain,
( sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xm)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f292,f274,f56055]) ).
fof(f59251,plain,
( aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f291,f274,f56055]) ).
fof(f59614,plain,
( aElementOf0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),szNzAzT0)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f228,f59251]) ).
fof(f60575,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xn)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f290,f273,f59251,f56051]) ).
fof(f95545,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ spl13_1
| spl13_2 ),
inference(unit_resulting_resolution,[],[f240,f274,f298,f60575,f59250,f59614]) ).
fof(f95983,plain,
( $false
| ~ spl13_1
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f95545,f273]) ).
fof(f95984,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_contradiction_clause,[],[f95983]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f303]) ).
cnf(s2,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f305]) ).
cnf(s59,plain,
( spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f56038]) ).
cnf(s68,plain,
( ~ spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f95984]) ).
cnf(s71,plain,
spl13_1,
inference(rat,[],[s1,s59]) ).
cnf(s72,plain,
spl13_2,
inference(rat,[],[s68,s71]) ).
cnf(s73,plain,
$false,
inference(rat,[],[s2,s72,s71]) ).
fof(f96076,plain,
$false,
inference(avatar_sat_refutation,[],[s73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM542+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 20:24:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 16.18/2.88 % (3853879)Will run a generic schedule for satisfiability detection.
% 16.18/2.88 % (3853886)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=51193484:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.18/2.88 % (3853885)% WARNING: option uhcvi not known.
% 16.18/2.88 % (3853884)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3859595062_2999 on theBenchmark for (2999ds/0Mi)
% 16.18/2.88 % (3853890)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4078393265:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.18/2.88 % (3853887)dis+10_1_sil=32000:sp=arity:random_seed=2984959838:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.18/2.88 % (3853888)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2859724187:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.18/2.88 % (3853889)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=445561989:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.18/2.88 % (3853885)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2602833770:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.18/2.88 % TRYING [1]
% 16.18/2.88 % TRYING [2]
% 16.18/2.88 % TRYING [3]
% 16.18/2.88 % TRYING [4]
% 16.18/2.88 % TRYING [5]
% 16.18/2.88 % TRYING [6]
% 16.18/2.88 % (3853887)Instruction limit reached!
% 16.18/2.88 % (3853887)------------------------------
% 16.18/2.88 % (3853887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.88 % (3853887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.88 % (3853887)CaDiCaL version: 2.1.3
% 16.18/2.88 % (3853887)Termination reason: Instruction limit
% 16.18/2.88 % (3853887)Termination phase: Saturation
% 16.18/2.88 % (3853887)Time elapsed: 0.071 s
% 16.18/2.88 % (3853887)Peak memory usage: 13 MB
% 16.18/2.88 % (3853887)Instructions burned: 104 (million)
% 16.18/2.88 % (3853888)Instruction limit reached!
% 16.18/2.88 % (3853888)------------------------------
% 16.18/2.88 % (3853888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.88 % (3853888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.88 % (3853888)CaDiCaL version: 2.1.3
% 16.18/2.88 % (3853888)Termination reason: Instruction limit
% 16.18/2.88 % (3853888)Termination phase: Saturation
% 16.18/2.88 % (3853888)Time elapsed: 0.075 s
% 16.18/2.88 % (3853888)Peak memory usage: 13 MB
% 16.18/2.88 % (3853888)Instructions burned: 116 (million)
% 16.18/2.88 % (3853889)Instruction limit reached!
% 16.18/2.88 % (3853889)------------------------------
% 16.18/2.88 % (3853889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.88 % (3853889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.88 % (3853889)CaDiCaL version: 2.1.3
% 16.18/2.88 % (3853889)Termination reason: Instruction limit
% 16.18/2.88 % (3853889)Termination phase: Saturation
% 16.18/2.88 % (3853889)Time elapsed: 0.082 s
% 16.18/2.88 % (3853889)Peak memory usage: 13 MB
% 16.18/2.88 % (3853889)Instructions burned: 131 (million)
% 16.18/2.88 % (3853898)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3150671731:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 16.18/2.88 % (3853899)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=304868334:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.18/2.88 % TRYING [1]
% 16.18/2.88 % TRYING [2]
% 16.18/2.88 % (3853890)Instruction limit reached!
% 16.18/2.88 % (3853890)------------------------------
% 16.18/2.88 % (3853890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.88 % (3853890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.88 % (3853890)CaDiCaL version: 2.1.3
% 16.18/2.88 % (3853890)Termination reason: Instruction limit
% 16.18/2.88 % (3853890)Termination phase: Saturation
% 16.18/2.88 % (3853890)Time elapsed: 0.102 s
% 16.18/2.88 % (3853890)Peak memory usage: 15 MB
% 16.18/2.88 % (3853890)Instructions burned: 160 (million)
% 16.18/2.88 % TRYING [3]
% 16.18/2.88 % (3853900)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=2255949350:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.18/2.88 % TRYING [4]
% 16.18/2.88 % (3853904)ott-21_1_sil=16000:fs=off:random_seed=4022891308:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.18/2.88 % TRYING [5]
% 16.18/2.88 % TRYING [7]
% 16.18/2.88 % TRYING [6]
% 16.18/2.88 % (3853899)Instruction limit reached!
% 16.18/2.88 % (3853899)------------------------------
% 16.18/2.88 % (3853899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.08/8.04 % (3853899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.08/8.04 % (3853899)CaDiCaL version: 2.1.3
% 54.08/8.04 % (3853899)Termination reason: Instruction limit
% 54.08/8.04 % (3853899)Termination phase: Saturation
% 54.08/8.04 % (3853899)Time elapsed: 0.089 s
% 54.08/8.04 % (3853899)Peak memory usage: 13 MB
% 54.08/8.04 % (3853899)Instructions burned: 132 (million)
% 54.08/8.04 % (3853906)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=866224016:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 54.08/8.04 % (3853904)Instruction limit reached!
% 54.08/8.04 % (3853904)------------------------------
% 54.08/8.04 % (3853904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.08/8.04 % (3853904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.08/8.04 % (3853904)CaDiCaL version: 2.1.3
% 54.08/8.04 % (3853904)Termination reason: Instruction limit
% 54.08/8.04 % (3853904)Termination phase: Saturation
% 54.08/8.04 % (3853904)Time elapsed: 0.096 s
% 54.08/8.04 % (3853904)Peak memory usage: 13 MB
% 54.08/8.04 % (3853904)Instructions burned: 181 (million)
% 54.08/8.04 % (3853908)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3182321224:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 54.08/8.04 % TRYING [1]
% 54.08/8.04 % TRYING [2]
% 54.08/8.04 % TRYING [3]
% 54.08/8.04 % TRYING [4]
% 54.08/8.04 % TRYING [8]
% 54.08/8.04 % TRYING [7]
% 54.08/8.04 % TRYING [5]
% 54.08/8.04 % (3853898)Instruction limit reached!
% 54.08/8.04 % (3853898)------------------------------
% 54.08/8.04 % (3853898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.08/8.04 % (3853898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.08/8.04 % (3853898)CaDiCaL version: 2.1.3
% 54.08/8.04 % (3853898)Termination reason: Instruction limit
% 54.08/8.04 % (3853898)Termination phase: Finite model building constraint generation
% 54.08/8.04 % (3853898)Time elapsed: 0.300 s
% 54.08/8.04 % (3853898)Peak memory usage: 24 MB
% 54.08/8.04 % (3853898)Instructions burned: 716 (million)
% 54.08/8.04 % (3853910)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3421791773:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 54.08/8.04 % TRYING [6]
% 54.08/8.04 % (3853900)Instruction limit reached!
% 54.08/8.04 % (3853900)------------------------------
% 54.08/8.04 % (3853900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.08/8.04 % (3853900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.08/8.04 % (3853900)CaDiCaL version: 2.1.3
% 54.08/8.04 % (3853900)Termination reason: Instruction limit
% 54.08/8.04 % (3853900)Termination phase: Saturation
% 54.08/8.04 % (3853900)Time elapsed: 0.395 s
% 54.08/8.04 % (3853900)Peak memory usage: 19 MB
% 54.08/8.04 % (3853900)Instructions burned: 685 (million)
% 54.08/8.04 % (3853912)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3201960962:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 54.08/8.04 % (3853906)Instruction limit reached!
% 54.08/8.04 % (3853906)------------------------------
% 54.08/8.04 % (3853906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.08/8.04 % (3853906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.08/8.04 % (3853906)CaDiCaL version: 2.1.3
% 54.08/8.04 % (3853906)Termination reason: Instruction limit
% 54.08/8.04 % (3853906)Termination phase: Saturation
% 54.08/8.04 % (3853906)Time elapsed: 0.337 s
% 54.08/8.04 % (3853906)Peak memory usage: 14 MB
% 54.08/8.04 % (3853906)Instructions burned: 477 (million)
% 54.08/8.04 % (3853914)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=1312545040:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 54.08/8.04 % (3853908)Instruction limit reached!
% 54.08/8.04 % (3853908)------------------------------
% 54.08/8.04 % (3853908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.08/8.04 % (3853908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.08/8.04 % (3853908)CaDiCaL version: 2.1.3
% 54.08/8.04 % (3853908)Termination reason: Instruction limit
% 54.08/8.04 % (3853908)Termination phase: Finite model building SAT solving
% 54.08/8.04 % (3853908)Time elapsed: 0.349 s
% 54.08/8.04 % (3853908)Peak memory usage: 21 MB
% 54.08/8.04 % (3853908)Instructions burned: 866 (million)
% 54.08/8.04 % TRYING [14]
% 54.08/8.04 % (3853916)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=52671487:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 90.71/13.24 % TRYING [9]
% 90.71/13.24 % (3853912)Instruction limit reached!
% 90.71/13.24 % (3853912)------------------------------
% 90.71/13.24 % (3853912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853912)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853912)Termination reason: Instruction limit
% 90.71/13.24 % (3853912)Termination phase: Finite model building constraint generation
% 90.71/13.24 % (3853912)Time elapsed: 0.316 s
% 90.71/13.24 % (3853912)Peak memory usage: 70 MB
% 90.71/13.24 % (3853912)Instructions burned: 891 (million)
% 90.71/13.24 % (3853918)fmb+10_1_sil=64000:random_seed=1790216287:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 90.71/13.24 % TRYING [1]
% 90.71/13.24 % TRYING [2]
% 90.71/13.24 % TRYING [3]
% 90.71/13.24 % TRYING [4]
% 90.71/13.24 % TRYING [5]
% 90.71/13.24 % (3853914)Instruction limit reached!
% 90.71/13.24 % (3853914)------------------------------
% 90.71/13.24 % (3853914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853914)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853914)Termination reason: Instruction limit
% 90.71/13.24 % (3853914)Termination phase: Saturation
% 90.71/13.24 % (3853914)Time elapsed: 0.410 s
% 90.71/13.24 % (3853914)Peak memory usage: 22 MB
% 90.71/13.24 % (3853914)Instructions burned: 693 (million)
% 90.71/13.24 % (3853920)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=789125698:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 90.71/13.24 % TRYING [20]
% 90.71/13.24 % TRYING [6]
% 90.71/13.24 % (3853916)Instruction limit reached!
% 90.71/13.24 % (3853916)------------------------------
% 90.71/13.24 % (3853916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853916)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853916)Termination reason: Instruction limit
% 90.71/13.24 % (3853916)Termination phase: Saturation
% 90.71/13.24 % (3853916)Time elapsed: 0.489 s
% 90.71/13.24 % (3853916)Peak memory usage: 19 MB
% 90.71/13.24 % (3853916)Instructions burned: 881 (million)
% 90.71/13.24 % (3853922)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3720470429:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 90.71/13.24 % TRYING [8]
% 90.71/13.24 % (3853910)Instruction limit reached!
% 90.71/13.24 % (3853910)------------------------------
% 90.71/13.24 % (3853910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853910)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853910)Termination reason: Instruction limit
% 90.71/13.24 % (3853910)Termination phase: Saturation
% 90.71/13.24 % (3853910)Time elapsed: 0.741 s
% 90.71/13.24 % (3853910)Peak memory usage: 22 MB
% 90.71/13.24 % (3853910)Instructions burned: 1179 (million)
% 90.71/13.24 % TRYING [7]
% 90.71/13.24 % (3853924)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4153498843:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 90.71/13.24 % TRYING [8]
% 90.71/13.24 % (3853922)Instruction limit reached!
% 90.71/13.24 % (3853922)------------------------------
% 90.71/13.24 % (3853922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853922)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853922)Termination reason: Instruction limit
% 90.71/13.24 % (3853922)Termination phase: Finite model building SAT solving
% 90.71/13.24 % (3853922)Time elapsed: 0.478 s
% 90.71/13.24 % (3853922)Peak memory usage: 49 MB
% 90.71/13.24 % (3853922)Instructions burned: 921 (million)
% 90.71/13.24 % (3853926)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=648324335:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 90.71/13.24 % TRYING [9]
% 90.71/13.24 % (3853926)Instruction limit reached!
% 90.71/13.24 % (3853926)------------------------------
% 90.71/13.24 % (3853926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853926)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853926)Termination reason: Instruction limit
% 90.71/13.24 % (3853926)Termination phase: Saturation
% 90.71/13.24 % (3853926)Time elapsed: 0.796 s
% 90.71/13.24 % (3853926)Peak memory usage: 27 MB
% 90.71/13.24 % (3853926)Instructions burned: 1472 (million)
% 90.71/13.24 % (3853928)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2517901935:i=6324_2975 on theBenchmark for (2975ds/6324Mi)
% 90.71/13.24 % TRYING [77]
% 90.71/13.24 % TRYING [10]
% 90.71/13.24 % TRYING [10]
% 90.71/13.24 % (3853924)Instruction limit reached!
% 90.71/13.24 % (3853924)------------------------------
% 90.71/13.24 % (3853924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853924)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853924)Termination reason: Instruction limit
% 90.71/13.24 % (3853924)Termination phase: Saturation
% 90.71/13.24 % (3853924)Time elapsed: 2.953 s
% 90.71/13.24 % (3853924)Peak memory usage: 36 MB
% 90.71/13.24 % (3853924)Instructions burned: 5132 (million)
% 90.71/13.24 % (3853930)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1235689193:fmbsr=2.30978:i=2174_2958 on theBenchmark for (2958ds/2174Mi)
% 90.71/13.24 % TRYING [16]
% 90.71/13.24 % (3853928)Instruction limit reached!
% 90.71/13.24 % (3853928)------------------------------
% 90.71/13.24 % (3853928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853928)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853928)Termination reason: Instruction limit
% 90.71/13.24 % (3853928)Termination phase: Finite model building constraint generation
% 90.71/13.24 % (3853928)Time elapsed: 2.181 s
% 90.71/13.24 % (3853928)Peak memory usage: 426 MB
% 90.71/13.24 % (3853928)Instructions burned: 6326 (million)
% 90.71/13.24 % (3853932)ott-2_1_sil=16000:newcnf=on:random_seed=3314995804:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 90.71/13.24 % (3853930)Instruction limit reached!
% 90.71/13.24 % (3853930)------------------------------
% 90.71/13.24 % (3853930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853930)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853930)Termination reason: Instruction limit
% 90.71/13.24 % (3853930)Termination phase: Finite model building constraint generation
% 90.71/13.24 % (3853930)Time elapsed: 0.751 s
% 90.71/13.24 % (3853930)Peak memory usage: 139 MB
% 90.71/13.24 % (3853930)Instructions burned: 2176 (million)
% 90.71/13.24 % (3853934)ott+10_1_sil=32000:tgt=ground:random_seed=1984065696:i=5114:av=off_2950 on theBenchmark for (2950ds/5114Mi)
% 90.71/13.24 % (3853932)Instruction limit reached!
% 90.71/13.24 % (3853932)------------------------------
% 90.71/13.24 % (3853932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853932)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853932)Termination reason: Instruction limit
% 90.71/13.24 % (3853932)Termination phase: Saturation
% 90.71/13.24 % (3853932)Time elapsed: 0.387 s
% 90.71/13.24 % (3853932)Peak memory usage: 15 MB
% 90.71/13.24 % (3853932)Instructions burned: 871 (million)
% 90.71/13.24 % (3853936)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3695341490:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 90.71/13.24 % TRYING [1]
% 90.71/13.24 % TRYING [2]
% 90.71/13.24 % TRYING [3]
% 90.71/13.24 % TRYING [4]
% 90.71/13.24 % TRYING [5]
% 90.71/13.24 % TRYING [6]
% 90.71/13.24 % TRYING [7]
% 90.71/13.24 % TRYING [8]
% 90.71/13.24 % TRYING [11]
% 90.71/13.24 % (3853920)Instruction limit reached!
% 90.71/13.24 % (3853920)------------------------------
% 90.71/13.24 % (3853920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853920)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853920)Termination reason: Instruction limit
% 90.71/13.24 % (3853920)Termination phase: Finite model building constraint generation
% 90.71/13.24 % (3853920)Time elapsed: 4.557 s
% 90.71/13.24 % (3853920)Peak memory usage: 745 MB
% 90.71/13.24 % (3853920)Instructions burned: 9515 (million)
% 90.71/13.24 % (3853938)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3581861633:i=3512:aac=none_2943 on theBenchmark for (2943ds/3512Mi)
% 90.71/13.24 % TRYING [9]
% 90.71/13.24 % (3853938)Instruction limit reached!
% 90.71/13.24 % (3853938)------------------------------
% 90.71/13.24 % (3853938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853938)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853938)Termination reason: Instruction limit
% 90.71/13.24 % (3853938)Termination phase: Saturation
% 90.71/13.24 % (3853938)Time elapsed: 1.942 s
% 90.71/13.24 % (3853938)Peak memory usage: 33 MB
% 90.71/13.24 % (3853938)Instructions burned: 3514 (million)
% 90.71/13.24 % (3853940)dis+21_1_sil=32000:sas=cadical:random_seed=3496846758:i=3773:amm=off_2923 on theBenchmark for (2923ds/3773Mi)
% 90.71/13.24 % TRYING [10]
% 90.71/13.24 % (3853934)Instruction limit reached!
% 90.71/13.24 % (3853934)------------------------------
% 90.71/13.24 % (3853934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853934)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853934)Termination reason: Instruction limit
% 90.71/13.24 % (3853934)Termination phase: Saturation
% 90.71/13.24 % (3853934)Time elapsed: 3.043 s
% 90.71/13.24 % (3853934)Peak memory usage: 39 MB
% 90.71/13.24 % (3853934)Instructions burned: 5114 (million)
% 90.71/13.24 % (3853942)ott+11_1_sil=16000:gs=on:random_seed=3151817880:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2919 on theBenchmark for (2919ds/2251Mi)
% 90.71/13.24 % (3853940)Instruction limit reached!
% 90.71/13.24 % (3853940)------------------------------
% 90.71/13.24 % (3853940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853940)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853940)Termination reason: Instruction limit
% 90.71/13.24 % (3853940)Termination phase: Saturation
% 90.71/13.24 % (3853940)Time elapsed: 1.968 s
% 90.71/13.24 % (3853940)Peak memory usage: 34 MB
% 90.71/13.24 % (3853940)Instructions burned: 3775 (million)
% 90.71/13.24 % (3853942)Instruction limit reached!
% 90.71/13.24 % (3853942)------------------------------
% 90.71/13.24 % (3853942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853942)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853942)Termination reason: Instruction limit
% 90.71/13.24 % (3853942)Termination phase: Saturation
% 90.71/13.24 % (3853942)Time elapsed: 1.613 s
% 90.71/13.24 % (3853942)Peak memory usage: 31 MB
% 90.71/13.24 % (3853942)Instructions burned: 2251 (million)
% 90.71/13.24 % (3853944)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3041766003:fmbsr=1.6:i=67534_2903 on theBenchmark for (2903ds/67534Mi)
% 90.71/13.24 % TRYING [7]
% 90.71/13.24 % (3853946)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=451519187:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2903 on theBenchmark for (2903ds/4591Mi)
% 90.71/13.24 % TRYING [12]
% 90.71/13.24 % (3853918)Instruction limit reached!
% 90.71/13.24 % (3853918)------------------------------
% 90.71/13.24 % (3853918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853918)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853918)Termination reason: Instruction limit
% 90.71/13.24 % (3853918)Termination phase: Finite model building constraint generation
% 90.71/13.24 % (3853918)Time elapsed: 9.434 s
% 90.71/13.24 % (3853918)Peak memory usage: 104 MB
% 90.71/13.24 % (3853918)Instructions burned: 22061 (million)
% 90.71/13.24 % TRYING [8]
% 90.71/13.24 % (3853948)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1604699381:i=29340_2896 on theBenchmark for (2896ds/29340Mi)
% 90.71/13.24 % (3853946)Instruction limit reached!
% 90.71/13.24 % (3853946)------------------------------
% 90.71/13.24 % (3853946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.24 % (3853946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.24 % (3853946)CaDiCaL version: 2.1.3
% 90.71/13.24 % (3853946)Termination reason: Instruction limit
% 90.71/13.24 % (3853946)Termination phase: Saturation
% 90.71/13.24 % (3853946)Time elapsed: 2.695 s
% 90.71/13.24 % (3853946)Peak memory usage: 59 MB
% 90.71/13.24 % (3853946)Instructions burned: 4592 (million)
% 90.71/13.24 % (3853950)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1990897009:i=5211_2876 on theBenchmark for (2876ds/5211Mi)
% 90.71/13.24 % TRYING [9]
% 90.71/13.24 % (3853948) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3853879-3853948"...
% 90.71/13.24 % (3853948)...printing done.
% 90.71/13.24 % (3853948)Refutation found. Thanks to Tanya!
% 90.71/13.24 % SZS status Theorem for theBenchmark
% 90.71/13.24 % SZS output start Proof for theBenchmark
% See solution above
% 90.71/13.25 % (3853948)------------------------------
% 90.71/13.25 % (3853948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.71/13.25 % (3853948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.71/13.25 % (3853948)CaDiCaL version: 2.1.3
% 90.71/13.25 % (3853948)Termination reason: Refutation
% 90.71/13.25 % (3853948)Time elapsed: 2.441 s
% 90.71/13.25 % (3853948)Peak memory usage: 71 MB
% 90.71/13.25 % (3853948)Instructions burned: 4744 (million)
% 90.71/13.25 % (3853879)Success in time 12.836 s
% 90.71/13.25 % Vampire exiting
%------------------------------------------------------------------------------