%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM629+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:25:05 PM UTC 2026
% Result : Theorem 0.15s 5.71s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 266 ( 27 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 292 ( 78 ~; 73 |; 106 &)
% ( 12 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 80 ( 77 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& X1 != szmzizndt0(sdtlpdtrp0(xN,X0)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f104,axiom,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f111,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f113,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5334) ).
fof(f114,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
& aSet0(xD)
& ! [X0] :
( aElementOf0(X0,xD)
<=> ( aElement0(X0)
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& X0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5585) ).
fof(f115,conjecture,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xD) )
| aSubsetOf0(xP,xD)
| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f116,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xD) )
| aSubsetOf0(xP,xD)
| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f119,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
inference(rectify,[],[f81]) ).
fof(f131,plain,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(rectify,[],[f104]) ).
fof(f132,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
& aSet0(xD)
& ! [X1] :
( aElementOf0(X1,xD)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(rectify,[],[f114]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f151,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f152,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(flattening,[],[f151]) ).
fof(f248,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f119]) ).
fof(f249,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0] :
( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f278,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(ennf_transformation,[],[f131]) ).
fof(f281,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X0,xP) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(ennf_transformation,[],[f113]) ).
fof(f282,plain,
( ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
& aSet0(xD)
& ! [X1] :
( aElementOf0(X1,xD)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(ennf_transformation,[],[f132]) ).
fof(f283,plain,
( ? [X0] :
( ~ aElementOf0(X0,xD)
& aElementOf0(X0,xP) )
& ~ aSubsetOf0(xP,xD)
& ~ aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f294,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSet0(X1)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f528,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f249]) ).
fof(f536,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f537,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f826,plain,
aSet0(xP),
inference(cnf_transformation,[],[f278]) ).
fof(f837,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f843,plain,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f281]) ).
fof(f849,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(cnf_transformation,[],[f282]) ).
fof(f850,plain,
aSet0(xD),
inference(cnf_transformation,[],[f282]) ).
fof(f854,plain,
~ aSubsetOf0(xP,xD),
inference(cnf_transformation,[],[f283]) ).
fof(f928,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(consistent_polarity_flipping,[],[f294]) ).
fof(f935,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X0,X2) ),
inference(consistent_polarity_flipping,[],[f298]) ).
fof(f1132,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(consistent_polarity_flipping,[],[f528]) ).
fof(f1154,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f537]) ).
fof(f1155,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f536]) ).
fof(f1437,plain,
~ aElementOf0(xn,szNzAzT0),
inference(consistent_polarity_flipping,[],[f837]) ).
fof(f1438,plain,
~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(consistent_polarity_flipping,[],[f843]) ).
fof(f1445,plain,
aSubsetOf0(xP,xD),
inference(consistent_polarity_flipping,[],[f854]) ).
fof(f3221,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X0,X2)
| ~ aSet0(X0)
| aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X1)
| ~ aSet0(X2) ),
inference(forward_subsumption_resolution,[],[f935,f928]) ).
fof(f3222,plain,
! [X0] :
( ~ aSet0(xP)
| aSubsetOf0(X0,xD)
| aSubsetOf0(xP,X0)
| ~ aSet0(xD) ),
inference(resolution,[],[f3221,f1445]) ).
fof(f3231,plain,
! [X0] :
( aSubsetOf0(X0,xD)
| aSubsetOf0(xP,X0)
| ~ aSet0(xD) ),
inference(forward_subsumption_resolution,[],[f3222,f826]) ).
fof(f3233,plain,
! [X0] :
( aSubsetOf0(X0,xD)
| aSubsetOf0(xP,X0) ),
inference(forward_subsumption_resolution,[],[f3231,f850]) ).
fof(f4984,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(forward_subsumption_resolution,[],[f1132,f1155]) ).
fof(f4985,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f4984,f1154]) ).
fof(f4990,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)
| aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f4985,f849]) ).
fof(f4991,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(forward_subsumption_resolution,[],[f4990,f1437]) ).
fof(f9364,plain,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(resolution,[],[f4991,f3233]) ).
fof(f9369,plain,
$false,
inference(forward_subsumption_resolution,[],[f9364,f1438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM629+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.38 % Computer : n009.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 27 20:50:50 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.41 Running first-order model finding
% 0.15/5.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.71 % (2381191)Will run a generic schedule for satisfiability detection.
% 0.15/5.71 % (2381200)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3214211687:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/5.71 % (2381197)% WARNING: option uhcvi not known.
% 0.15/5.71 % (2381196)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2458359327_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/5.71 % (2381197)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1968375525:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/5.71 % (2381198)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4231117208:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/5.71 % (2381199)dis+10_1_sil=32000:sp=arity:random_seed=167059555:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/5.71 % (2381201)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2377196748:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/5.71 % (2381202)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3009427232:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/5.71 % (2381200)Instruction limit reached!
% 0.15/5.71 % (2381200)------------------------------
% 0.15/5.71 % (2381200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381200)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381200)Termination reason: Instruction limit
% 0.15/5.71 % (2381200)Termination phase: Saturation
% 0.15/5.71 % (2381200)Time elapsed: 0.037 s
% 0.15/5.71 % (2381200)Peak memory usage: 13 MB
% 0.15/5.71 % (2381200)Instructions burned: 117 (million)
% 0.15/5.71 % (2381210)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3993598262:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/5.71 % TRYING [1]
% 0.15/5.71 % TRYING [2]
% 0.15/5.71 % TRYING [1]
% 0.15/5.71 % TRYING [2]
% 0.15/5.71 % (2381199)Instruction limit reached!
% 0.15/5.71 % (2381199)------------------------------
% 0.15/5.71 % (2381199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381199)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381199)Termination reason: Instruction limit
% 0.15/5.71 % (2381199)Termination phase: Saturation
% 0.15/5.71 % (2381199)Time elapsed: 0.067 s
% 0.15/5.71 % (2381199)Peak memory usage: 13 MB
% 0.15/5.71 % (2381199)Instructions burned: 103 (million)
% 0.15/5.71 % TRYING [3]
% 0.15/5.71 % TRYING [3]
% 0.15/5.71 % (2381201)Instruction limit reached!
% 0.15/5.71 % (2381201)------------------------------
% 0.15/5.71 % (2381201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381201)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381201)Termination reason: Instruction limit
% 0.15/5.71 % (2381201)Termination phase: Saturation
% 0.15/5.71 % (2381201)Time elapsed: 0.079 s
% 0.15/5.71 % (2381201)Peak memory usage: 14 MB
% 0.15/5.71 % (2381201)Instructions burned: 131 (million)
% 0.15/5.71 % (2381212)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3095576028:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.15/5.71 % (2381202)Instruction limit reached!
% 0.15/5.71 % (2381202)------------------------------
% 0.15/5.71 % (2381202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381202)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381202)Termination reason: Instruction limit
% 0.15/5.71 % (2381202)Termination phase: Saturation
% 0.15/5.71 % (2381202)Time elapsed: 0.098 s
% 0.15/5.71 % (2381202)Peak memory usage: 15 MB
% 0.15/5.71 % (2381202)Instructions burned: 159 (million)
% 0.15/5.71 % (2381213)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=3194686825:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.15/5.71 % TRYING [4]
% 0.15/5.71 % (2381215)ott-21_1_sil=16000:fs=off:random_seed=2721336198:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.15/5.71 % TRYING [4]
% 0.15/5.71 % (2381212)Instruction limit reached!
% 0.15/5.71 % (2381212)------------------------------
% 0.15/5.71 % (2381212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381212)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381212)Termination reason: Instruction limit
% 0.15/5.71 % (2381212)Termination phase: Saturation
% 0.15/5.71 % (2381212)Time elapsed: 0.083 s
% 0.15/5.71 % (2381212)Peak memory usage: 14 MB
% 0.15/5.71 % (2381212)Instructions burned: 131 (million)
% 0.15/5.71 % TRYING [5]
% 0.15/5.71 % (2381218)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1267567474:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 0.15/5.71 % (2381210)Instruction limit reached!
% 0.15/5.71 % (2381210)------------------------------
% 0.15/5.71 % (2381210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381210)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381210)Termination reason: Instruction limit
% 0.15/5.71 % (2381210)Termination phase: Finite model building constraint generation
% 0.15/5.71 % (2381210)Time elapsed: 0.154 s
% 0.15/5.71 % (2381210)Peak memory usage: 33 MB
% 0.15/5.71 % (2381210)Instructions burned: 719 (million)
% 0.15/5.71 % (2381220)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1263234287:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.15/5.71 % (2381215)Instruction limit reached!
% 0.15/5.71 % (2381215)------------------------------
% 0.15/5.71 % (2381215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381215)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381215)Termination reason: Instruction limit
% 0.15/5.71 % (2381215)Termination phase: Saturation
% 0.15/5.71 % (2381215)Time elapsed: 0.102 s
% 0.15/5.71 % (2381215)Peak memory usage: 13 MB
% 0.15/5.71 % (2381215)Instructions burned: 181 (million)
% 0.15/5.71 % TRYING [1]
% 0.15/5.71 % TRYING [2]
% 0.15/5.71 % (2381222)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1878487088:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 0.15/5.71 % (2381197) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2381191-2381197"...
% 0.15/5.71 % (2381197)...printing done.
% 0.15/5.71 % (2381197)Refutation found. Thanks to Tanya!
% 0.15/5.71 % SZS status Theorem for theBenchmark
% 0.15/5.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/5.71 % (2381197)------------------------------
% 0.15/5.71 % (2381197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.71 % (2381197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.71 % (2381197)CaDiCaL version: 2.1.3
% 0.15/5.71 % (2381197)Termination reason: Refutation
% 0.15/5.71 % (2381197)Time elapsed: 0.251 s
% 0.15/5.71 % (2381197)Peak memory usage: 16 MB
% 0.15/5.71 % (2381197)Instructions burned: 376 (million)
% 0.15/5.71 % (2381191)Success in time 0.292 s
% 0.15/5.71 % Vampire exiting
%------------------------------------------------------------------------------