%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM601+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 : n012.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 12:15:56 PM UTC 2026
% Result : Theorem 4.55s 1.28s
% Output : Refutation 5.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 137 ( 24 unt; 7 def)
% Number of atoms : 433 ( 62 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 492 ( 196 ~; 199 |; 70 &)
% ( 14 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 103 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
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(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
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(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f96,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f98,conjecture,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f99,negated_conjecture,
~ aSubsetOf0(xO,xS),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f107,plain,
~ aSubsetOf0(xO,xS),
inference(flattening,[],[f99]) ).
fof(f109,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f112,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f113,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f143,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f167]) ).
fof(f209,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f210,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f212,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f213,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f212]) ).
fof(f227,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f230,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f97]) ).
fof(f237,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f238,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f238]) ).
fof(f240,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))],[f239]) ).
fof(f241,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,[],[f114]) ).
fof(f242,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,[],[f241]) ).
fof(f243,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,[],[f242]) ).
fof(f244,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))],[f243]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f168]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f262]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(rectify,[],[f263]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f264]) ).
fof(f299,plain,
! [X0] :
( ( aElementOf0(sK28(X0),szNzAzT0)
& aElementOf0(sK28(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sK28(X0)) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X1,sK28(X0))],[f230]) ).
fof(f302,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f240]) ).
fof(f306,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f307,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f308,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f309,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f310,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f346,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f347,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f354,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f375,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f265]) ).
fof(f447,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f461,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f210]) ).
fof(f464,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f465,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f466,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f482,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f494,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f495,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK28(X0)) = X0 ),
inference(cnf_transformation,[],[f299]) ).
fof(f497,plain,
! [X0] :
( aElementOf0(sK28(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f299]) ).
fof(f498,plain,
~ aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f107]) ).
fof(f499,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f302]) ).
fof(f501,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f306]) ).
fof(f507,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f375]) ).
fof(f540,definition,
( spl29_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f549,definition,
( spl29_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f551,plain,
( ~ isCountable0(slcrc0)
| spl29_3 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f552,plain,
( ~ spl29_3
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f501,f540,f549]) ).
fof(f553,plain,
spl29_1,
inference(avatar_split_clause,[],[f499,f540]) ).
fof(f559,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f308,f447]) ).
fof(f564,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[],[f559,f346]) ).
fof(f567,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f466,f461]) ).
fof(f568,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f567,f347]) ).
fof(f570,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f568,f354]) ).
fof(f581,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,xS)
| ~ aSet0(xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f307,f570]) ).
fof(f584,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f581,f564]) ).
fof(f600,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK28(X0)) = szmzizndt0(sdtlpdtrp0(xN,sK28(X0))) ),
inference(resolution,[],[f497,f482]) ).
fof(f667,plain,
! [X0] :
( sK5(X0,xO) = sdtlpdtrp0(xe,sK28(sK5(X0,xO)))
| ~ aSet0(xO)
| aSubsetOf0(xO,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f495,f309]) ).
fof(f668,plain,
! [X0] :
( aSubsetOf0(xO,X0)
| sK5(X0,xO) = sdtlpdtrp0(xe,sK28(sK5(X0,xO)))
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f667,f494]) ).
fof(f669,plain,
( sK5(xS,xO) = sdtlpdtrp0(xe,sK28(sK5(xS,xO)))
| ~ aSet0(xS) ),
inference(resolution,[],[f668,f498]) ).
fof(f679,plain,
sK5(xS,xO) = sdtlpdtrp0(xe,sK28(sK5(xS,xO))),
inference(forward_subsumption_resolution,[],[f669,f564]) ).
fof(f1595,definition,
( spl29_58
<=> aElementOf0(sK5(xS,xO),xO) ),
introduced(definition,[new_symbols(definition,[spl29_58])],[avatar_definition]) ).
fof(f1596,plain,
( ~ aElementOf0(sK5(xS,xO),xO)
| spl29_58 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f1597,plain,
( aElementOf0(sK5(xS,xO),xO)
| ~ spl29_58 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f1603,plain,
( ~ aSet0(xO)
| aSubsetOf0(xO,xS)
| ~ aSet0(xS)
| spl29_58 ),
inference(resolution,[],[f1596,f309]) ).
fof(f1604,plain,
( aSubsetOf0(xO,xS)
| ~ aSet0(xS)
| spl29_58 ),
inference(forward_subsumption_resolution,[],[f1603,f494]) ).
fof(f1605,plain,
( ~ aSet0(xS)
| spl29_58 ),
inference(forward_subsumption_resolution,[],[f1604,f498]) ).
fof(f1606,plain,
( $false
| spl29_58 ),
inference(forward_subsumption_resolution,[],[f1605,f564]) ).
fof(f1607,plain,
spl29_58,
inference(avatar_contradiction_clause,[],[f1606]) ).
fof(f1709,plain,
( sdtlpdtrp0(xe,sK28(sK5(xS,xO))) = szmzizndt0(sdtlpdtrp0(xN,sK28(sK5(xS,xO))))
| ~ spl29_58 ),
inference(resolution,[],[f600,f1597]) ).
fof(f1711,plain,
( sK5(xS,xO) = szmzizndt0(sdtlpdtrp0(xN,sK28(sK5(xS,xO))))
| ~ spl29_58 ),
inference(forward_demodulation,[],[f1709,f679]) ).
fof(f1718,plain,
( aElementOf0(sK5(xS,xO),sdtlpdtrp0(xN,sK28(sK5(xS,xO))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK28(sK5(xS,xO))),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,sK28(sK5(xS,xO)))
| ~ spl29_58 ),
inference(superposition,[],[f507,f1711]) ).
fof(f1720,definition,
( spl29_67
<=> slcrc0 = sdtlpdtrp0(xN,sK28(sK5(xS,xO))) ),
introduced(definition,[new_symbols(definition,[spl29_67])],[avatar_definition]) ).
fof(f1722,plain,
( slcrc0 = sdtlpdtrp0(xN,sK28(sK5(xS,xO)))
| ~ spl29_67 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1724,definition,
( spl29_68
<=> aSubsetOf0(sdtlpdtrp0(xN,sK28(sK5(xS,xO))),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl29_68])],[avatar_definition]) ).
fof(f1726,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK28(sK5(xS,xO))),szNzAzT0)
| spl29_68 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f1728,definition,
( spl29_69
<=> aElementOf0(sK5(xS,xO),sdtlpdtrp0(xN,sK28(sK5(xS,xO)))) ),
introduced(definition,[new_symbols(definition,[spl29_69])],[avatar_definition]) ).
fof(f1730,plain,
( aElementOf0(sK5(xS,xO),sdtlpdtrp0(xN,sK28(sK5(xS,xO))))
| ~ spl29_69 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1731,plain,
( spl29_67
| ~ spl29_68
| spl29_69
| ~ spl29_58 ),
inference(avatar_split_clause,[],[f1718,f1595,f1728,f1724,f1720]) ).
fof(f1733,definition,
( spl29_70
<=> aElementOf0(sK28(sK5(xS,xO)),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl29_70])],[avatar_definition]) ).
fof(f1734,plain,
( aElementOf0(sK28(sK5(xS,xO)),szNzAzT0)
| ~ spl29_70 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1735,plain,
( ~ aElementOf0(sK28(sK5(xS,xO)),szNzAzT0)
| spl29_70 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1764,plain,
( ~ aElementOf0(sK5(xS,xO),xO)
| spl29_70 ),
inference(resolution,[],[f1735,f497]) ).
fof(f1765,plain,
( $false
| ~ spl29_58
| spl29_70 ),
inference(forward_subsumption_resolution,[],[f1764,f1597]) ).
fof(f1766,plain,
( ~ spl29_58
| spl29_70 ),
inference(avatar_contradiction_clause,[],[f1765]) ).
fof(f1837,plain,
( ~ aElementOf0(sK28(sK5(xS,xO)),szNzAzT0)
| spl29_68 ),
inference(resolution,[],[f1726,f465]) ).
fof(f1838,plain,
( $false
| spl29_68
| ~ spl29_70 ),
inference(forward_subsumption_resolution,[],[f1837,f1734]) ).
fof(f1839,plain,
( spl29_68
| ~ spl29_70 ),
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1842,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(sK28(sK5(xS,xO)),szNzAzT0)
| ~ spl29_67 ),
inference(superposition,[],[f464,f1722]) ).
fof(f1868,plain,
( ~ aElementOf0(sK28(sK5(xS,xO)),szNzAzT0)
| spl29_3
| ~ spl29_67 ),
inference(forward_subsumption_resolution,[],[f1842,f551]) ).
fof(f1878,plain,
( $false
| spl29_3
| ~ spl29_67
| ~ spl29_70 ),
inference(forward_subsumption_resolution,[],[f1868,f1734]) ).
fof(f1879,plain,
( spl29_3
| ~ spl29_67
| ~ spl29_70 ),
inference(avatar_contradiction_clause,[],[f1878]) ).
fof(f1890,plain,
( aElementOf0(sK5(xS,xO),xS)
| ~ aElementOf0(sK28(sK5(xS,xO)),szNzAzT0)
| ~ spl29_69 ),
inference(resolution,[],[f1730,f584]) ).
fof(f1892,plain,
( aElementOf0(sK5(xS,xO),xS)
| ~ spl29_69
| ~ spl29_70 ),
inference(forward_subsumption_resolution,[],[f1890,f1734]) ).
fof(f1893,plain,
( ~ aSet0(xO)
| aSubsetOf0(xO,xS)
| ~ aSet0(xS)
| ~ spl29_69
| ~ spl29_70 ),
inference(resolution,[],[f1892,f310]) ).
fof(f1896,plain,
( aSubsetOf0(xO,xS)
| ~ aSet0(xS)
| ~ spl29_69
| ~ spl29_70 ),
inference(forward_subsumption_resolution,[],[f1893,f494]) ).
fof(f1897,plain,
( ~ aSet0(xS)
| ~ spl29_69
| ~ spl29_70 ),
inference(forward_subsumption_resolution,[],[f1896,f498]) ).
fof(f1898,plain,
( $false
| ~ spl29_69
| ~ spl29_70 ),
inference(forward_subsumption_resolution,[],[f1897,f564]) ).
fof(f1899,plain,
( ~ spl29_69
| ~ spl29_70 ),
inference(avatar_contradiction_clause,[],[f1898]) ).
cnf(s2,plain,
( ~ spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f552]) ).
cnf(s3,plain,
spl29_1,
inference(sat_conversion,[],[f553]) ).
cnf(s42,plain,
spl29_58,
inference(sat_conversion,[],[f1607]) ).
cnf(s49,plain,
( ~ spl29_58
| spl29_67
| ~ spl29_68
| spl29_69 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s55,plain,
( ~ spl29_58
| spl29_70 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s61,plain,
( spl29_68
| ~ spl29_70 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s62,plain,
( spl29_3
| ~ spl29_67
| ~ spl29_70 ),
inference(sat_conversion,[],[f1879]) ).
cnf(s64,plain,
( ~ spl29_69
| ~ spl29_70 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s65,plain,
spl29_70,
inference(rat,[],[s55,s42]) ).
cnf(s66,plain,
~ spl29_69,
inference(rat,[],[s64,s65]) ).
cnf(s67,plain,
spl29_68,
inference(rat,[],[s61,s65]) ).
cnf(s71,plain,
spl29_67,
inference(rat,[],[s49,s66,s42,s67]) ).
cnf(s72,plain,
spl29_3,
inference(rat,[],[s62,s65,s71]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s2,s72,s3]) ).
fof(f1900,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM601+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 20:41:49 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 4.55/1.28 % (2720598)Detected formulas, will run a generic FOF schedule.
% 4.55/1.28 % (2720606)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1749192875:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.55/1.28 % (2720603)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=1526252894:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.55/1.28 % (2720604)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=3116650048:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.55/1.28 % (2720609)dis-21_1_sil=8000:lcm=predicate:random_seed=1953024733: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)
% 4.55/1.28 % (2720607)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=877061594:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.55/1.28 % (2720605)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=1076550985:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.55/1.28 % (2720608)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3134325171:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.55/1.28 % (2720607)Instruction limit reached!
% 4.55/1.28 % (2720607)------------------------------
% 4.55/1.28 % (2720607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720607)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720607)Termination reason: Instruction limit
% 4.55/1.28 % (2720607)Termination phase: Saturation
% 4.55/1.28 % (2720607)Time elapsed: 0.029 s
% 4.55/1.28 % (2720607)Peak memory usage: 88 MB
% 4.55/1.28 % (2720607)Instructions burned: 120 (million)
% 4.55/1.28 % (2720606)Instruction limit reached!
% 4.55/1.28 % (2720606)------------------------------
% 4.55/1.28 % (2720606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720606)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720606)Termination reason: Instruction limit
% 4.55/1.28 % (2720606)Termination phase: Saturation
% 4.55/1.28 % (2720606)Time elapsed: 0.036 s
% 4.55/1.28 % (2720606)Peak memory usage: 89 MB
% 4.55/1.28 % (2720606)Instructions burned: 114 (million)
% 4.55/1.28 % (2720609)Instruction limit reached!
% 4.55/1.28 % (2720609)------------------------------
% 4.55/1.28 % (2720609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720609)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720609)Termination reason: Instruction limit
% 4.55/1.28 % (2720609)Termination phase: Saturation
% 4.55/1.28 % (2720609)Time elapsed: 0.039 s
% 4.55/1.28 % (2720609)Peak memory usage: 90 MB
% 4.55/1.28 % (2720609)Instructions burned: 129 (million)
% 4.55/1.28 % (2720608)Instruction limit reached!
% 4.55/1.28 % (2720608)------------------------------
% 4.55/1.28 % (2720608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720608)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720608)Termination reason: Instruction limit
% 4.55/1.28 % (2720608)Termination phase: Saturation
% 4.55/1.28 % (2720608)Time elapsed: 0.058 s
% 4.55/1.28 % (2720608)Peak memory usage: 90 MB
% 4.55/1.28 % (2720608)Instructions burned: 142 (million)
% 4.55/1.28 % (2720617)lrs+10_1_sil=8000:sp=occurrence:random_seed=3142142879:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.55/1.28 % (2720618)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2019628991:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.55/1.28 % (2720619)lrs+1011_1_sil=32000:sp=occurrence:random_seed=819932086:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.55/1.28 % (2720618)Refutation not found, incomplete strategy
% 4.55/1.28 % (2720618)------------------------------
% 4.55/1.28 % (2720618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720618)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720618)Termination reason: Refutation not found, incomplete strategy
% 4.55/1.28 % (2720618)Time elapsed: 0.002 s
% 4.55/1.28 % (2720618)Peak memory usage: 88 MB
% 4.55/1.28 % (2720618)Instructions burned: 3 (million)
% 4.55/1.28 % (2720620)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=4026837391:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.55/1.28 % (2720617)Instruction limit reached!
% 4.55/1.28 % (2720617)------------------------------
% 4.55/1.28 % (2720617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720617)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720617)Termination reason: Instruction limit
% 4.55/1.28 % (2720617)Termination phase: Saturation
% 4.55/1.28 % (2720617)Time elapsed: 0.097 s
% 4.55/1.28 % (2720617)Peak memory usage: 92 MB
% 4.55/1.28 % (2720617)Instructions burned: 285 (million)
% 4.55/1.28 % (2720619)Instruction limit reached!
% 4.55/1.28 % (2720619)------------------------------
% 4.55/1.28 % (2720619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720619)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720619)Termination reason: Instruction limit
% 4.55/1.28 % (2720619)Termination phase: Saturation
% 4.55/1.28 % (2720619)Time elapsed: 0.092 s
% 4.55/1.28 % (2720619)Peak memory usage: 90 MB
% 4.55/1.28 % (2720619)Instructions burned: 330 (million)
% 4.55/1.28 % (2720620)Instruction limit reached!
% 4.55/1.28 % (2720620)------------------------------
% 4.55/1.28 % (2720620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720620)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720620)Termination reason: Instruction limit
% 4.55/1.28 % (2720620)Termination phase: Saturation
% 4.55/1.28 % (2720620)Time elapsed: 0.083 s
% 4.55/1.28 % (2720620)Peak memory usage: 92 MB
% 4.55/1.28 % (2720620)Instructions burned: 250 (million)
% 4.55/1.28 % (2720618)------------------------------
% 4.55/1.28 % (2720618)------------------------------
% 4.55/1.28 % (2720625)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3496653912:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.55/1.28 % (2720626)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4273505832:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.55/1.28 % (2720627)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3514570922:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.55/1.28 % (2720628)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2701853036:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.55/1.28 % (2720625)Instruction limit reached!
% 4.55/1.28 % (2720625)------------------------------
% 4.55/1.28 % (2720625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720625)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720625)Termination reason: Instruction limit
% 4.55/1.28 % (2720625)Termination phase: Saturation
% 4.55/1.28 % (2720625)Time elapsed: 0.096 s
% 4.55/1.28 % (2720625)Peak memory usage: 90 MB
% 4.55/1.28 % (2720625)Instructions burned: 296 (million)
% 4.55/1.28 % (2720627)Instruction limit reached!
% 4.55/1.28 % (2720627)------------------------------
% 4.55/1.28 % (2720627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720627)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720627)Termination reason: Instruction limit
% 4.55/1.28 % (2720627)Termination phase: Saturation
% 4.55/1.28 % (2720627)Time elapsed: 0.041 s
% 4.55/1.28 % (2720627)Peak memory usage: 91 MB
% 4.55/1.28 % (2720627)Instructions burned: 116 (million)
% 4.55/1.28 % (2720603)First to succeed.
% 4.55/1.28 % (2720603)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2720598"
% 4.55/1.28 % (2720628)Instruction limit reached!
% 4.55/1.28 % (2720628)------------------------------
% 4.55/1.28 % (2720628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720628)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720628)Termination reason: Instruction limit
% 4.55/1.28 % (2720628)Termination phase: Saturation
% 4.55/1.28 % (2720628)Time elapsed: 0.038 s
% 4.55/1.28 % (2720628)Peak memory usage: 89 MB
% 4.55/1.28 % (2720628)Instructions burned: 130 (million)
% 4.55/1.28 % (2720633)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2715465468:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.55/1.28 % (2720634)lrs+10_1_sil=8000:sp=occurrence:random_seed=458665336:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.55/1.28 % (2720633)Instruction limit reached!
% 4.55/1.28 % (2720633)------------------------------
% 4.55/1.28 % (2720633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.28 % (2720633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.28 % (2720633)CaDiCaL version: 2.1.3
% 4.55/1.28 % (2720633)Termination reason: Instruction limit
% 4.55/1.28 % (2720633)Termination phase: Saturation
% 4.55/1.28 % (2720633)Time elapsed: 0.041 s
% 4.55/1.28 % (2720633)Peak memory usage: 89 MB
% 4.55/1.28 % (2720633)Instructions burned: 115 (million)
% 4.55/1.28 % (2720635)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1697105778:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 4.55/1.28 % (2720603)Refutation found. Thanks to Tanya!
% 4.55/1.28 % SZS status Theorem for theBenchmark
% 4.55/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 5.43/1.37 % (2720603)------------------------------
% 5.43/1.37 % (2720603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.37 % (2720603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.37 % (2720603)CaDiCaL version: 2.1.3
% 5.43/1.37 % (2720603)Termination reason: Refutation
% 5.43/1.37 % (2720603)Time elapsed: 0.467 s
% 5.43/1.37 % (2720603)Peak memory usage: 130 MB
% 5.43/1.37 % (2720603)Instructions burned: 1222 (million)
% 5.43/1.37 % (2720603)------------------------------
% 5.43/1.37 % (2720603)------------------------------
% 5.43/1.37 % (2720598)Success in time 0.75 s
% 5.43/1.37 % Vampire exiting
%------------------------------------------------------------------------------