%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM595+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:15:54 PM UTC 2026
% Result : Theorem 8.73s 2.14s
% Output : Refutation 9.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 115 ( 17 unt; 4 def)
% Number of atoms : 436 ( 87 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 541 ( 220 ~; 223 |; 75 &)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-3 aty)
% Number of variables : 123 ( 0 sgn 110 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
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(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4618) ).
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f95,axiom,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xd,xi) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4806) ).
fof(f96,axiom,
( xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& xX != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4826) ).
fof(f97,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f98,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[status(cth)],[f97]) ).
fof(f106,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f98]) ).
fof(f108,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f136,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f181,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f182,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f181]) ).
fof(f210,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f224,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f225,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f224]) ).
fof(f227,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f228,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f227]) ).
fof(f235,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f236,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f235]) ).
fof(f237,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f236]) ).
fof(f238,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f237]) ).
fof(f239,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,[],[f113]) ).
fof(f240,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,[],[f239]) ).
fof(f241,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,[],[f240]) ).
fof(f242,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))],[f241]) ).
fof(f276,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f182]) ).
fof(f277,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f276]) ).
fof(f278,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f277]) ).
fof(f279,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK14(X0,X1,X2),X0)
& sbrdtbr0(sK14(X0,X1,X2)) = X1 )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f278]) ).
fof(f296,plain,
! [X0] :
( ( aElementOf0(sK27(X0),xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK27(X0)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X1,sK27(X0))],[f225]) ).
fof(f300,plain,
! [X0] :
( aElementOf0(sK4(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f238]) ).
fof(f305,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f343,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f346,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f398,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f400,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f455,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f462,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f477,plain,
! [X2,X0] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK27(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f478,plain,
! [X0] :
( aElementOf0(sK27(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f482,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f487,plain,
xx = sdtlpdtrp0(xd,xi),
inference(cnf_transformation,[],[f95]) ).
fof(f488,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f95]) ).
fof(f489,plain,
slcrc0 != xX,
inference(cnf_transformation,[],[f96]) ).
fof(f490,plain,
xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk),
inference(cnf_transformation,[],[f96]) ).
fof(f491,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f106]) ).
fof(f509,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f400]) ).
fof(f512,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f398]) ).
fof(f550,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f462,f305]) ).
fof(f551,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f550,f343]) ).
fof(f764,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f512,f490]) ).
fof(f766,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(forward_subsumption_resolution,[],[f764,f455]) ).
fof(f769,definition,
( spl28_20
<=> aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
introduced(definition,[new_symbols(definition,[spl28_20])],[avatar_definition]) ).
fof(f770,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ spl28_20 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f771,plain,
( ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| spl28_20 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f773,definition,
( spl28_21
<=> ! [X0] :
( ~ aElementOf0(X0,xX)
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) ),
introduced(definition,[new_symbols(definition,[spl28_21])],[avatar_definition]) ).
fof(f774,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X0,xX) )
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( ~ spl28_20
| spl28_21 ),
inference(avatar_split_clause,[],[f766,f773,f769]) ).
fof(f858,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f482,f490]) ).
fof(f859,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
inference(forward_subsumption_resolution,[],[f858,f488]) ).
fof(f883,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK27(xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f477,f490]) ).
fof(f884,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK27(xi) ),
inference(forward_subsumption_resolution,[],[f883,f488]) ).
fof(f1116,plain,
( aSet0(xX)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f509,f490]) ).
fof(f1117,plain,
( aSet0(xX)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(forward_subsumption_resolution,[],[f1116,f455]) ).
fof(f1867,definition,
( spl28_67
<=> aSet0(sK4(xX)) ),
introduced(definition,[new_symbols(definition,[spl28_67])],[avatar_definition]) ).
fof(f1868,plain,
( aSet0(sK4(xX))
| ~ spl28_67 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f1869,plain,
( ~ aSet0(sK4(xX))
| spl28_67 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f2237,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
| ~ aSet0(X0) ),
inference(forward_demodulation,[],[f859,f487]) ).
fof(f2247,plain,
( aSet0(xX)
| ~ spl28_20 ),
inference(forward_subsumption_resolution,[],[f1117,f770]) ).
fof(f2287,plain,
( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| ~ aSet0(sK4(xX))
| ~ aSet0(xX)
| slcrc0 = xX ),
inference(resolution,[],[f2237,f300]) ).
fof(f2295,plain,
( ~ aSet0(sK4(xX))
| sK27(xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| ~ aSet0(xX)
| slcrc0 = xX ),
inference(resolution,[],[f884,f300]) ).
fof(f2378,plain,
( ! [X0] :
( ~ aElementOf0(X0,xX)
| aSet0(X0)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| ~ spl28_21 ),
inference(resolution,[],[f774,f305]) ).
fof(f2379,plain,
( ! [X0] :
( ~ aElementOf0(X0,xX)
| aSet0(X0) )
| ~ spl28_20
| ~ spl28_21 ),
inference(forward_subsumption_resolution,[],[f2378,f770]) ).
fof(f2402,plain,
( aSet0(sK4(xX))
| ~ aSet0(xX)
| slcrc0 = xX
| ~ spl28_20
| ~ spl28_21 ),
inference(resolution,[],[f2379,f300]) ).
fof(f2408,plain,
( ~ aSet0(xX)
| slcrc0 = xX
| ~ spl28_20
| ~ spl28_21
| spl28_67 ),
inference(forward_subsumption_resolution,[],[f2402,f1869]) ).
fof(f2409,plain,
( slcrc0 = xX
| ~ spl28_20
| ~ spl28_21
| spl28_67 ),
inference(forward_subsumption_resolution,[],[f2408,f2247]) ).
fof(f2410,plain,
( $false
| ~ spl28_20
| ~ spl28_21
| spl28_67 ),
inference(forward_subsumption_resolution,[],[f2409,f489]) ).
fof(f2411,plain,
( ~ spl28_20
| ~ spl28_21
| spl28_67 ),
inference(avatar_contradiction_clause,[],[f2410]) ).
fof(f2412,plain,
( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| ~ aSet0(xX)
| slcrc0 = xX
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2287,f1868]) ).
fof(f2413,plain,
( sK27(xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| ~ aSet0(xX)
| slcrc0 = xX
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2295,f1868]) ).
fof(f2414,plain,
( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| slcrc0 = xX
| ~ spl28_20
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2412,f2247]) ).
fof(f2415,plain,
( sK27(xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| slcrc0 = xX
| ~ spl28_20
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2413,f2247]) ).
fof(f2416,plain,
( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| ~ spl28_20
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2414,f489]) ).
fof(f2417,plain,
( sK27(xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK4(xX))
| ~ spl28_20
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2415,f489]) ).
fof(f2426,plain,
( xx = sK27(xi)
| ~ spl28_20
| ~ spl28_67 ),
inference(forward_demodulation,[],[f2417,f2416]) ).
fof(f2428,definition,
( spl28_113
<=> aElementOf0(szszuzczcdt0(xi),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl28_113])],[avatar_definition]) ).
fof(f2429,plain,
( aElementOf0(szszuzczcdt0(xi),szNzAzT0)
| ~ spl28_113 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f2430,plain,
( ~ aElementOf0(szszuzczcdt0(xi),szNzAzT0)
| spl28_113 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f2432,plain,
( aElementOf0(xx,xT)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl28_20
| ~ spl28_67 ),
inference(superposition,[],[f478,f2426]) ).
fof(f2433,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ spl28_20
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2432,f491]) ).
fof(f2434,plain,
( $false
| ~ spl28_20
| ~ spl28_67 ),
inference(forward_subsumption_resolution,[],[f2433,f488]) ).
fof(f2435,plain,
( ~ spl28_20
| ~ spl28_67 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2460,plain,
( ~ aElementOf0(szszuzczcdt0(xi),szNzAzT0)
| spl28_20 ),
inference(resolution,[],[f771,f551]) ).
fof(f2461,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl28_113 ),
inference(resolution,[],[f2430,f346]) ).
fof(f2462,plain,
( $false
| spl28_113 ),
inference(forward_subsumption_resolution,[],[f2461,f488]) ).
fof(f2463,plain,
spl28_113,
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2467,plain,
( $false
| spl28_20
| ~ spl28_113 ),
inference(forward_subsumption_resolution,[],[f2460,f2429]) ).
fof(f2468,plain,
( spl28_20
| ~ spl28_113 ),
inference(avatar_contradiction_clause,[],[f2467]) ).
cnf(s16,plain,
( ~ spl28_20
| spl28_21 ),
inference(sat_conversion,[],[f775]) ).
cnf(s99,plain,
( ~ spl28_20
| ~ spl28_21
| spl28_67 ),
inference(sat_conversion,[],[f2411]) ).
cnf(s102,plain,
( ~ spl28_20
| ~ spl28_67 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s107,plain,
spl28_113,
inference(sat_conversion,[],[f2463]) ).
cnf(s109,plain,
( spl28_20
| ~ spl28_113 ),
inference(sat_conversion,[],[f2468]) ).
cnf(s110,plain,
spl28_20,
inference(rat,[],[s109,s107]) ).
cnf(s111,plain,
~ spl28_67,
inference(rat,[],[s102,s110]) ).
cnf(s113,plain,
~ spl28_21,
inference(rat,[],[s99,s111,s110]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s16,s113,s110]) ).
fof(f2469,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM595+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:40:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 8.73/2.14 % (1142445)Detected formulas, will run a generic FOF schedule.
% 8.73/2.14 % (1142456)dis-21_1_sil=8000:lcm=predicate:random_seed=2990448215: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)
% 8.73/2.14 % (1142456)Instruction limit reached!
% 8.73/2.14 % (1142456)------------------------------
% 8.73/2.14 % (1142456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142456)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142456)Termination reason: Instruction limit
% 8.73/2.14 % (1142456)Termination phase: Saturation
% 8.73/2.14 % (1142456)Time elapsed: 0.034 s
% 8.73/2.14 % (1142456)Peak memory usage: 89 MB
% 8.73/2.14 % (1142456)Instructions burned: 132 (million)
% 8.73/2.14 % (1142453)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2881421244:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.73/2.14 % (1142451)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=2958338771:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.73/2.14 % (1142454)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1202807959:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.73/2.14 % (1142450)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=2594134112:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.73/2.14 % (1142452)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=1820031470:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.73/2.14 % (1142455)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2068078074:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.73/2.14 % (1142453)Instruction limit reached!
% 8.73/2.14 % (1142453)------------------------------
% 8.73/2.14 % (1142453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142453)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142453)Termination reason: Instruction limit
% 8.73/2.14 % (1142453)Termination phase: Saturation
% 8.73/2.14 % (1142453)Time elapsed: 0.068 s
% 8.73/2.14 % (1142453)Peak memory usage: 89 MB
% 8.73/2.14 % (1142453)Instructions burned: 110 (million)
% 8.73/2.14 % (1142454)Instruction limit reached!
% 8.73/2.14 % (1142454)------------------------------
% 8.73/2.14 % (1142454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142454)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142454)Termination reason: Instruction limit
% 8.73/2.14 % (1142454)Termination phase: Saturation
% 8.73/2.14 % (1142454)Time elapsed: 0.073 s
% 8.73/2.14 % (1142454)Peak memory usage: 89 MB
% 8.73/2.14 % (1142454)Instructions burned: 120 (million)
% 8.73/2.14 % (1142458)lrs+10_1_sil=8000:sp=occurrence:random_seed=3806771225:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.73/2.14 % (1142455)Instruction limit reached!
% 8.73/2.14 % (1142455)------------------------------
% 8.73/2.14 % (1142455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142455)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142455)Termination reason: Instruction limit
% 8.73/2.14 % (1142455)Termination phase: Saturation
% 8.73/2.14 % (1142455)Time elapsed: 0.102 s
% 8.73/2.14 % (1142455)Peak memory usage: 90 MB
% 8.73/2.14 % (1142455)Instructions burned: 139 (million)
% 8.73/2.14 % (1142458)Instruction limit reached!
% 8.73/2.14 % (1142458)------------------------------
% 8.73/2.14 % (1142458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142458)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142458)Termination reason: Instruction limit
% 8.73/2.14 % (1142458)Termination phase: Saturation
% 8.73/2.14 % (1142458)Time elapsed: 0.099 s
% 8.73/2.14 % (1142458)Peak memory usage: 92 MB
% 8.73/2.14 % (1142458)Instructions burned: 286 (million)
% 8.73/2.14 % (1142467)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1177107889:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.73/2.14 % (1142465)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2336735875:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.73/2.14 % (1142465)Refutation not found, incomplete strategy
% 8.73/2.14 % (1142465)------------------------------
% 8.73/2.14 % (1142465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142465)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142465)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.14 % (1142465)Time elapsed: 0.002 s
% 8.73/2.14 % (1142465)Peak memory usage: 88 MB
% 8.73/2.14 % (1142465)Instructions burned: 2 (million)
% 8.73/2.14 % (1142468)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=372965807:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.73/2.14 % (1142469)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1706160004:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.73/2.14 % (1142469)Instruction limit reached!
% 8.73/2.14 % (1142469)------------------------------
% 8.73/2.14 % (1142469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142469)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142469)Termination reason: Instruction limit
% 8.73/2.14 % (1142469)Termination phase: Saturation
% 8.73/2.14 % (1142469)Time elapsed: 0.096 s
% 8.73/2.14 % (1142469)Peak memory usage: 90 MB
% 8.73/2.14 % (1142469)Instructions burned: 296 (million)
% 8.73/2.14 % (1142467)Instruction limit reached!
% 8.73/2.14 % (1142467)------------------------------
% 8.73/2.14 % (1142467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142467)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142467)Termination reason: Instruction limit
% 8.73/2.14 % (1142467)Termination phase: Saturation
% 8.73/2.14 % (1142467)Time elapsed: 0.167 s
% 8.73/2.14 % (1142467)Peak memory usage: 90 MB
% 8.73/2.14 % (1142467)Instructions burned: 328 (million)
% 8.73/2.14 % (1142468)Instruction limit reached!
% 8.73/2.14 % (1142468)------------------------------
% 8.73/2.14 % (1142468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142468)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142468)Termination reason: Instruction limit
% 8.73/2.14 % (1142468)Termination phase: Saturation
% 8.73/2.14 % (1142468)Time elapsed: 0.151 s
% 8.73/2.14 % (1142468)Peak memory usage: 92 MB
% 8.73/2.14 % (1142468)Instructions burned: 249 (million)
% 8.73/2.14 % (1142465)------------------------------
% 8.73/2.14 % (1142465)------------------------------
% 8.73/2.14 % (1142474)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=599327148:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.73/2.14 % (1142475)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=409085299:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.73/2.14 % (1142476)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3050148376:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.73/2.14 % (1142475)Instruction limit reached!
% 8.73/2.14 % (1142475)------------------------------
% 8.73/2.14 % (1142475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142475)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142475)Termination reason: Instruction limit
% 8.73/2.14 % (1142475)Termination phase: Saturation
% 8.73/2.14 % (1142475)Time elapsed: 0.075 s
% 8.73/2.14 % (1142475)Peak memory usage: 91 MB
% 8.73/2.14 % (1142475)Instructions burned: 113 (million)
% 8.73/2.14 % (1142477)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3347968486:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.73/2.14 % (1142476)Instruction limit reached!
% 8.73/2.14 % (1142476)------------------------------
% 8.73/2.14 % (1142476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142476)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142476)Termination reason: Instruction limit
% 8.73/2.14 % (1142476)Termination phase: Saturation
% 8.73/2.14 % (1142476)Time elapsed: 0.069 s
% 8.73/2.14 % (1142476)Peak memory usage: 89 MB
% 8.73/2.14 % (1142476)Instructions burned: 128 (million)
% 8.73/2.14 % (1142477)Instruction limit reached!
% 8.73/2.14 % (1142477)------------------------------
% 8.73/2.14 % (1142477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142477)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142477)Termination reason: Instruction limit
% 8.73/2.14 % (1142477)Termination phase: Saturation
% 8.73/2.14 % (1142477)Time elapsed: 0.071 s
% 8.73/2.14 % (1142477)Peak memory usage: 89 MB
% 8.73/2.14 % (1142477)Instructions burned: 115 (million)
% 8.73/2.14 % (1142481)lrs+10_1_sil=8000:sp=occurrence:random_seed=3000758948:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.73/2.14 % (1142483)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2312816460:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.73/2.14 % (1142484)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3556059959:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.73/2.14 % (1142450)First to succeed.
% 8.73/2.14 % (1142450)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1142445"
% 8.73/2.14 % (1142483)Instruction limit reached!
% 8.73/2.14 % (1142483)------------------------------
% 8.73/2.14 % (1142483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.14 % (1142483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.14 % (1142483)CaDiCaL version: 2.1.3
% 8.73/2.14 % (1142483)Termination reason: Instruction limit
% 8.73/2.14 % (1142483)Termination phase: Saturation
% 8.73/2.14 % (1142483)Time elapsed: 0.265 s
% 8.73/2.14 % (1142483)Peak memory usage: 91 MB
% 8.73/2.14 % (1142483)Instructions burned: 437 (million)
% 8.73/2.14 % (1142474)Also succeeded, but the first one will report.
% 8.73/2.14 % (1142450)Refutation found. Thanks to Tanya!
% 8.73/2.14 % SZS status Theorem for theBenchmark
% 8.73/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.60/2.33 % (1142450)------------------------------
% 9.60/2.33 % (1142450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.33 % (1142450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.33 % (1142450)CaDiCaL version: 2.1.3
% 9.60/2.33 % (1142450)Termination reason: Refutation
% 9.60/2.33 % (1142450)Time elapsed: 0.873 s
% 9.60/2.33 % (1142450)Peak memory usage: 132 MB
% 9.60/2.33 % (1142450)Instructions burned: 1299 (million)
% 9.60/2.33 % (1142450)------------------------------
% 9.60/2.33 % (1142450)------------------------------
% 9.60/2.33 % (1142445)Success in time 1.284 s
% 9.60/2.33 % Vampire exiting
%------------------------------------------------------------------------------