%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM601+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:58 PM UTC 2026
% Result : Theorem 12.18s 2.20s
% Output : Refutation 12.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 14 unt; 2 def)
% Number of atoms : 250 ( 28 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 272 ( 82 ~; 69 |; 90 &)
% ( 8 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 64 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(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(f75,axiom,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& 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)
=> ( ( ( ( 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/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
& 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)
=> ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f97,axiom,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f98,conjecture,
( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f99,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xO,xS) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f102,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(f111,plain,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 ) ),
inference(rectify,[],[f97]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f155,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f222,plain,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f227,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,[],[f102]) ).
fof(f228,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,[],[f227]) ).
fof(f230,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f231,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f230]) ).
fof(f245,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f249,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 )
| ( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X1) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f111]) ).
fof(f250,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xO) )
& ~ aSubsetOf0(xO,xS) ),
inference(ennf_transformation,[],[f99]) ).
fof(f260,plain,
! [X2,X0,X1] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f292,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f299,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f394,plain,
aSet0(xS),
inference(cnf_transformation,[],[f222]) ).
fof(f499,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f228]) ).
fof(f507,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f728,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f763,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK56(X0)) = X0 ),
inference(cnf_transformation,[],[f249]) ).
fof(f766,plain,
! [X0] :
( aElementOf0(sK56(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f249]) ).
fof(f767,plain,
aElementOf0(sK57,xO),
inference(cnf_transformation,[],[f250]) ).
fof(f768,plain,
~ aElementOf0(sK57,xS),
inference(cnf_transformation,[],[f250]) ).
fof(f947,plain,
sK57 = sdtlpdtrp0(xe,sK56(sK57)),
inference(resolution,[],[f763,f767]) ).
fof(f960,definition,
( spl58_6
<=> aElementOf0(sK56(sK57),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).
fof(f961,plain,
( aElementOf0(sK56(sK57),szNzAzT0)
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f962,plain,
( ~ aElementOf0(sK56(sK57),szNzAzT0)
| spl58_6 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f982,plain,
( ~ aElementOf0(sK57,xO)
| spl58_6 ),
inference(resolution,[],[f962,f766]) ).
fof(f984,plain,
( $false
| spl58_6 ),
inference(forward_subsumption_resolution,[],[f982,f767]) ).
fof(f985,plain,
spl58_6,
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f1029,plain,
( aElementOf0(sK57,sdtlpdtrp0(xN,sK56(sK57)))
| ~ aElementOf0(sK56(sK57),szNzAzT0) ),
inference(superposition,[],[f728,f947]) ).
fof(f1033,plain,
( aElementOf0(sK57,sdtlpdtrp0(xN,sK56(sK57)))
| ~ spl58_6 ),
inference(forward_subsumption_resolution,[],[f1029,f961]) ).
fof(f1234,plain,
! [X0] :
( ~ aElementOf0(sK57,X0)
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[],[f260,f768]) ).
fof(f1239,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(sK57,X0) ),
inference(forward_subsumption_resolution,[],[f1234,f394]) ).
fof(f2738,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f507,f499]) ).
fof(f2739,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2738,f299]) ).
fof(f2743,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2739,f292]) ).
fof(f7388,definition,
( spl58_64
<=> ! [X0] :
( ~ aElementOf0(sK57,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(definition,[new_symbols(definition,[spl58_64])],[avatar_definition]) ).
fof(f7389,plain,
( ! [X0] :
( ~ aElementOf0(sK57,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl58_64 ),
inference(avatar_component_clause,[],[f7388]) ).
fof(f15769,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK57,sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f2743,f1239]) ).
fof(f18196,plain,
spl58_64,
inference(avatar_split_clause,[],[f15769,f7388]) ).
fof(f18199,plain,
( ~ aElementOf0(sK56(sK57),szNzAzT0)
| ~ spl58_6
| ~ spl58_64 ),
inference(resolution,[],[f7389,f1033]) ).
fof(f18221,plain,
( $false
| ~ spl58_6
| ~ spl58_64 ),
inference(forward_subsumption_resolution,[],[f18199,f961]) ).
fof(f18222,plain,
( ~ spl58_6
| ~ spl58_64 ),
inference(avatar_contradiction_clause,[],[f18221]) ).
cnf(s6,plain,
spl58_6,
inference(sat_conversion,[],[f985]) ).
cnf(s110,plain,
spl58_64,
inference(sat_conversion,[],[f18196]) ).
cnf(s112,plain,
( ~ spl58_6
| ~ spl58_64 ),
inference(sat_conversion,[],[f18222]) ).
cnf(s113,plain,
~ spl58_6,
inference(rat,[],[s112,s110]) ).
cnf(s124,plain,
$false,
inference(rat,[],[s6,s113]) ).
fof(f18225,plain,
$false,
inference(avatar_sat_refutation,[],[s124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM601+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:42:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.18/2.19 % (1582947)Will run a generic schedule for satisfiability detection.
% 12.18/2.19 % (1582953)% WARNING: option uhcvi not known.
% 12.18/2.19 % (1582952)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2556781890_2999 on theBenchmark for (2999ds/0Mi)
% 12.18/2.19 % (1582953)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2663340761:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.18/2.19 % (1582954)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3275298652:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.18/2.19 % (1582955)dis+10_1_sil=32000:sp=arity:random_seed=1451072711:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.18/2.19 % (1582956)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2038374428:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.18/2.19 % (1582957)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2393495561:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.18/2.19 % (1582958)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2956109918:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.18/2.19 % TRYING [1]
% 12.18/2.19 % TRYING [2]
% 12.18/2.19 % (1582956)Instruction limit reached!
% 12.18/2.19 % (1582956)------------------------------
% 12.18/2.19 % (1582956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.19 % (1582956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.19 % (1582956)CaDiCaL version: 2.1.3
% 12.18/2.19 % (1582956)Termination reason: Instruction limit
% 12.18/2.19 % (1582956)Termination phase: Saturation
% 12.18/2.19 % (1582956)Time elapsed: 0.067 s
% 12.18/2.19 % (1582956)Peak memory usage: 13 MB
% 12.18/2.19 % (1582956)Instructions burned: 116 (million)
% 12.18/2.19 % (1582955)Instruction limit reached!
% 12.18/2.19 % (1582955)------------------------------
% 12.18/2.19 % (1582955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.19 % (1582955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.19 % (1582955)CaDiCaL version: 2.1.3
% 12.18/2.19 % (1582955)Termination reason: Instruction limit
% 12.18/2.19 % (1582955)Termination phase: Saturation
% 12.18/2.19 % (1582955)Time elapsed: 0.068 s
% 12.18/2.19 % (1582955)Peak memory usage: 13 MB
% 12.18/2.19 % (1582955)Instructions burned: 104 (million)
% 12.18/2.19 % TRYING [3]
% 12.18/2.19 % (1582957)Instruction limit reached!
% 12.18/2.19 % (1582957)------------------------------
% 12.18/2.19 % (1582957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.19 % (1582957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.19 % (1582957)CaDiCaL version: 2.1.3
% 12.18/2.19 % (1582957)Termination reason: Instruction limit
% 12.18/2.19 % (1582957)Termination phase: Saturation
% 12.18/2.19 % (1582957)Time elapsed: 0.079 s
% 12.18/2.19 % (1582957)Peak memory usage: 13 MB
% 12.18/2.19 % (1582957)Instructions burned: 131 (million)
% 12.18/2.19 % (1582967)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3176087864:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 12.18/2.19 % (1582966)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=19416137:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 12.18/2.19 % (1582968)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=3937051349:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.18/2.19 % (1582958)Instruction limit reached!
% 12.18/2.19 % (1582958)------------------------------
% 12.18/2.19 % (1582958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.19 % (1582958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.19 % (1582958)CaDiCaL version: 2.1.3
% 12.18/2.19 % (1582958)Termination reason: Instruction limit
% 12.18/2.19 % (1582958)Termination phase: Saturation
% 12.18/2.19 % (1582958)Time elapsed: 0.112 s
% 12.18/2.19 % (1582958)Peak memory usage: 14 MB
% 12.18/2.19 % (1582958)Instructions burned: 159 (million)
% 12.18/2.19 % TRYING [1]
% 12.18/2.19 % (1582972)ott-21_1_sil=16000:fs=off:random_seed=502486910:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.18/2.19 % TRYING [2]
% 12.18/2.19 % TRYING [4]
% 12.18/2.19 % TRYING [3]
% 12.18/2.19 % (1582967)Instruction limit reached!
% 12.18/2.19 % (1582967)------------------------------
% 12.18/2.19 % (1582967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.19 % (1582967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582967)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582967)Termination reason: Instruction limit
% 12.18/2.20 % (1582967)Termination phase: Saturation
% 12.18/2.20 % (1582967)Time elapsed: 0.083 s
% 12.18/2.20 % (1582967)Peak memory usage: 13 MB
% 12.18/2.20 % (1582967)Instructions burned: 131 (million)
% 12.18/2.20 % (1582974)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3590222609:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 12.18/2.20 % TRYING [4]
% 12.18/2.20 % (1582972)Instruction limit reached!
% 12.18/2.20 % (1582972)------------------------------
% 12.18/2.20 % (1582972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582972)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582972)Termination reason: Instruction limit
% 12.18/2.20 % (1582972)Termination phase: Saturation
% 12.18/2.20 % (1582972)Time elapsed: 0.101 s
% 12.18/2.20 % (1582972)Peak memory usage: 13 MB
% 12.18/2.20 % (1582972)Instructions burned: 180 (million)
% 12.18/2.20 % (1582976)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1752731658:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.18/2.20 % TRYING [1]
% 12.18/2.20 % TRYING [2]
% 12.18/2.20 % TRYING [5]
% 12.18/2.20 % TRYING [5]
% 12.18/2.20 % TRYING [3]
% 12.18/2.20 % (1582966)Instruction limit reached!
% 12.18/2.20 % (1582966)------------------------------
% 12.18/2.20 % (1582966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582966)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582966)Termination reason: Instruction limit
% 12.18/2.20 % (1582966)Termination phase: Finite model building constraint generation
% 12.18/2.20 % (1582966)Time elapsed: 0.284 s
% 12.18/2.20 % (1582966)Peak memory usage: 33 MB
% 12.18/2.20 % (1582966)Instructions burned: 717 (million)
% 12.18/2.20 % (1582978)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3816104671:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 12.18/2.20 % (1582968)Instruction limit reached!
% 12.18/2.20 % (1582968)------------------------------
% 12.18/2.20 % (1582968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582968)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582968)Termination reason: Instruction limit
% 12.18/2.20 % (1582968)Termination phase: Saturation
% 12.18/2.20 % (1582968)Time elapsed: 0.333 s
% 12.18/2.20 % (1582968)Peak memory usage: 18 MB
% 12.18/2.20 % (1582968)Instructions burned: 685 (million)
% 12.18/2.20 % (1582980)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3997818637:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 12.18/2.20 % (1582974)Instruction limit reached!
% 12.18/2.20 % (1582974)------------------------------
% 12.18/2.20 % (1582974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582974)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582974)Termination reason: Instruction limit
% 12.18/2.20 % (1582974)Termination phase: Saturation
% 12.18/2.20 % (1582974)Time elapsed: 0.331 s
% 12.18/2.20 % (1582974)Peak memory usage: 15 MB
% 12.18/2.20 % (1582974)Instructions burned: 478 (million)
% 12.18/2.20 % (1582982)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=325881000:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 12.18/2.20 % TRYING [4]
% 12.18/2.20 % (1582976)Instruction limit reached!
% 12.18/2.20 % (1582976)------------------------------
% 12.18/2.20 % (1582976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582976)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582976)Termination reason: Instruction limit
% 12.18/2.20 % (1582976)Termination phase: Finite model building constraint generation
% 12.18/2.20 % (1582976)Time elapsed: 0.369 s
% 12.18/2.20 % (1582976)Peak memory usage: 24 MB
% 12.18/2.20 % (1582976)Instructions burned: 866 (million)
% 12.18/2.20 % (1582984)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1580121614:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 12.18/2.20 % (1582980)Instruction limit reached!
% 12.18/2.20 % (1582980)------------------------------
% 12.18/2.20 % (1582980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582980)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582980)Termination reason: Instruction limit
% 12.18/2.20 % (1582980)Termination phase: Finite model building constraint generation
% 12.18/2.20 % (1582980)Time elapsed: 0.411 s
% 12.18/2.20 % (1582980)Peak memory usage: 103 MB
% 12.18/2.20 % (1582980)Instructions burned: 890 (million)
% 12.18/2.20 % TRYING [6]
% 12.18/2.20 % (1582986)fmb+10_1_sil=64000:random_seed=988688247:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 12.18/2.20 % (1582982)Instruction limit reached!
% 12.18/2.20 % (1582982)------------------------------
% 12.18/2.20 % (1582982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582982)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582982)Termination reason: Instruction limit
% 12.18/2.20 % (1582982)Termination phase: Saturation
% 12.18/2.20 % (1582982)Time elapsed: 0.380 s
% 12.18/2.20 % (1582982)Peak memory usage: 22 MB
% 12.18/2.20 % (1582982)Instructions burned: 692 (million)
% 12.18/2.20 % TRYING [1]
% 12.18/2.20 % TRYING [2]
% 12.18/2.20 % (1582989)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2335396066:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.18/2.20 % TRYING [20]
% 12.18/2.20 % TRYING [3]
% 12.18/2.20 % (1582978)Instruction limit reached!
% 12.18/2.20 % (1582978)------------------------------
% 12.18/2.20 % (1582978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582978)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582978)Termination reason: Instruction limit
% 12.18/2.20 % (1582978)Termination phase: Saturation
% 12.18/2.20 % (1582978)Time elapsed: 0.736 s
% 12.18/2.20 % (1582978)Peak memory usage: 27 MB
% 12.18/2.20 % (1582978)Instructions burned: 1179 (million)
% 12.18/2.20 % (1582984)Instruction limit reached!
% 12.18/2.20 % (1582984)------------------------------
% 12.18/2.20 % (1582984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582984)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582984)Termination reason: Instruction limit
% 12.18/2.20 % (1582984)Termination phase: Saturation
% 12.18/2.20 % (1582984)Time elapsed: 0.494 s
% 12.18/2.20 % (1582984)Peak memory usage: 21 MB
% 12.18/2.20 % (1582984)Instructions burned: 880 (million)
% 12.18/2.20 % TRYING [4]
% 12.18/2.20 % (1582991)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2917373432:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 12.18/2.20 % (1582992)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=492499237:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 12.18/2.20 % TRYING [8]
% 12.18/2.20 % (1582991)Instruction limit reached!
% 12.18/2.20 % (1582991)------------------------------
% 12.18/2.20 % (1582991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582991)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582991)Termination reason: Instruction limit
% 12.18/2.20 % (1582991)Termination phase: Finite model building constraint generation
% 12.18/2.20 % (1582991)Time elapsed: 0.322 s
% 12.18/2.20 % (1582991)Peak memory usage: 63 MB
% 12.18/2.20 % (1582991)Instructions burned: 920 (million)
% 12.18/2.20 % (1582995)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2907873087:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 12.18/2.20 % TRYING [5]
% 12.18/2.20 % (1582992) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1582947-1582992"...
% 12.18/2.20 % (1582992)...printing done.
% 12.18/2.20 % (1582992)Refutation found. Thanks to Tanya!
% 12.18/2.20 % SZS status Theorem for theBenchmark
% 12.18/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 12.18/2.20 % (1582992)------------------------------
% 12.18/2.20 % (1582992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.18/2.20 % (1582992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.20 % (1582992)CaDiCaL version: 2.1.3
% 12.18/2.20 % (1582992)Termination reason: Refutation
% 12.18/2.20 % (1582992)Time elapsed: 0.559 s
% 12.18/2.20 % (1582992)Peak memory usage: 19 MB
% 12.18/2.20 % (1582992)Instructions burned: 927 (million)
% 12.18/2.20 % (1582947)Success in time 1.78 s
% 12.18/2.20 % Vampire exiting
%------------------------------------------------------------------------------