%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM574+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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:52 PM UTC 2026
% Result : Theorem 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 75 ( 15 unt; 4 def)
% Number of atoms : 281 ( 53 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 311 ( 105 ~; 98 |; 76 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 48 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
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(f83,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).
fof(f85,axiom,
( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786_02) ).
fof(f86,conjecture,
( sdtlseqdt0(xj,xi)
=> ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f87,negated_conjecture,
~ ( sdtlseqdt0(xj,xi)
=> ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f90,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(f91,plain,
( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
inference(rectify,[],[f85]) ).
fof(f130,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f131,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f130]) ).
fof(f135,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f141,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f142,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f141]) ).
fof(f207,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,[],[f90]) ).
fof(f208,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,[],[f207]) ).
fof(f212,plain,
( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) )
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f213,plain,
( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) )
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi ) ),
inference(flattening,[],[f212]) ).
fof(f214,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi) ),
inference(ennf_transformation,[],[f87]) ).
fof(f215,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi) ),
inference(flattening,[],[f214]) ).
fof(f257,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f261,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f262,plain,
! [X0] :
( aElementOf0(sK4(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f264,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f270,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f142]) ).
fof(f464,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f208]) ).
fof(f471,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f472,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f476,plain,
! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xj,xi)
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(cnf_transformation,[],[f213]) ).
fof(f477,plain,
aElementOf0(sK34,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f215]) ).
fof(f478,plain,
~ aElementOf0(sK34,sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f215]) ).
fof(f479,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f215]) ).
fof(f480,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f215]) ).
fof(f536,plain,
! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(forward_subsumption_resolution,[],[f476,f479]) ).
fof(f578,definition,
( spl35_5
<=> ! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(definition,[new_symbols(definition,[spl35_5])],[avatar_definition]) ).
fof(f579,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi )
| ~ spl35_5 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f536,f480]) ).
fof(f604,plain,
spl35_5,
inference(avatar_split_clause,[],[f581,f578]) ).
fof(f897,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| xi != szszuzczcdt0(sK4(X0)) )
| ~ spl35_5 ),
inference(resolution,[],[f262,f579]) ).
fof(f911,plain,
( sz00 = xi
| xi != szszuzczcdt0(sK4(xi))
| ~ spl35_5 ),
inference(resolution,[],[f897,f471]) ).
fof(f914,definition,
( spl35_18
<=> xi = szszuzczcdt0(sK4(xi)) ),
introduced(definition,[new_symbols(definition,[spl35_18])],[avatar_definition]) ).
fof(f916,plain,
( xi != szszuzczcdt0(sK4(xi))
| spl35_18 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f918,definition,
( spl35_19
<=> sz00 = xi ),
introduced(definition,[new_symbols(definition,[spl35_19])],[avatar_definition]) ).
fof(f920,plain,
( sz00 = xi
| ~ spl35_19 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f921,plain,
( ~ spl35_18
| spl35_19
| ~ spl35_5 ),
inference(avatar_split_clause,[],[f911,f578,f918,f914]) ).
fof(f927,definition,
( spl35_21
<=> sz00 = xj ),
introduced(definition,[new_symbols(definition,[spl35_21])],[avatar_definition]) ).
fof(f928,plain,
( sz00 != xj
| spl35_21 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f929,plain,
( sz00 = xj
| ~ spl35_21 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f1048,plain,
( xi = szszuzczcdt0(sK4(xi))
| sz00 = xi ),
inference(resolution,[],[f261,f471]) ).
fof(f1056,plain,
( sz00 = xi
| spl35_18 ),
inference(forward_subsumption_resolution,[],[f1048,f916]) ).
fof(f1069,plain,
( spl35_19
| spl35_18 ),
inference(avatar_split_clause,[],[f1056,f914,f918]) ).
fof(f1071,plain,
( aElementOf0(sK34,sdtlpdtrp0(xN,sz00))
| ~ spl35_19 ),
inference(superposition,[],[f477,f920]) ).
fof(f1072,plain,
( sdtlseqdt0(xj,sz00)
| ~ spl35_19 ),
inference(superposition,[],[f479,f920]) ).
fof(f1087,plain,
( aElementOf0(sK34,xS)
| ~ spl35_19 ),
inference(forward_demodulation,[],[f1071,f464]) ).
fof(f1103,plain,
( ~ aElementOf0(sK34,sdtlpdtrp0(xN,sz00))
| ~ spl35_21 ),
inference(superposition,[],[f478,f929]) ).
fof(f1119,plain,
( ~ aElementOf0(sK34,xS)
| ~ spl35_21 ),
inference(forward_demodulation,[],[f1103,f464]) ).
fof(f1125,plain,
( $false
| ~ spl35_19
| ~ spl35_21 ),
inference(forward_subsumption_resolution,[],[f1119,f1087]) ).
fof(f1126,plain,
( ~ spl35_19
| ~ spl35_21 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f2260,plain,
( ~ sdtlseqdt0(sz00,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = xj
| ~ spl35_19 ),
inference(resolution,[],[f270,f1072]) ).
fof(f2299,plain,
( ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = xj
| ~ spl35_19 ),
inference(forward_subsumption_resolution,[],[f2260,f264]) ).
fof(f2311,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| sz00 = xj
| ~ spl35_19 ),
inference(forward_subsumption_resolution,[],[f2299,f472]) ).
fof(f2319,plain,
( sz00 = xj
| ~ spl35_19 ),
inference(forward_subsumption_resolution,[],[f2311,f257]) ).
fof(f2326,plain,
( $false
| ~ spl35_19
| spl35_21 ),
inference(forward_subsumption_resolution,[],[f2319,f928]) ).
fof(f2327,plain,
( ~ spl35_19
| spl35_21 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
cnf(s5,plain,
spl35_5,
inference(sat_conversion,[],[f604]) ).
cnf(s13,plain,
( ~ spl35_5
| ~ spl35_18
| spl35_19 ),
inference(sat_conversion,[],[f921]) ).
cnf(s21,plain,
( spl35_18
| spl35_19 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s23,plain,
( ~ spl35_19
| ~ spl35_21 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s74,plain,
( ~ spl35_19
| spl35_21 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s82,plain,
~ spl35_19,
inference(rat,[],[s23,s74]) ).
cnf(s83,plain,
spl35_18,
inference(rat,[],[s21,s82]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s13,s5,s82,s83]) ).
fof(f2331,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM574+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n004.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 20:34:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.16/0.52 % (3857158)Will run a generic schedule for satisfiability detection.
% 0.16/0.52 % (3857166)dis+10_1_sil=32000:sp=arity:random_seed=1317643354:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.52 % (3857164)% WARNING: option uhcvi not known.
% 0.16/0.52 % (3857163)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2448740683_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.52 % (3857164)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1232269368:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.52 % (3857165)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2185270191:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.52 % (3857167)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=35663267:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.52 % (3857168)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3096635549:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.52 % (3857169)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=501381984:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.52 % TRYING [1]
% 0.16/0.52 % TRYING [2]
% 0.16/0.52 % (3857166)Instruction limit reached!
% 0.16/0.52 % (3857166)------------------------------
% 0.16/0.52 % (3857166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (3857166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (3857166)CaDiCaL version: 2.1.3
% 0.16/0.52 % (3857166)Termination reason: Instruction limit
% 0.16/0.52 % (3857166)Termination phase: Saturation
% 0.16/0.52 % (3857166)Time elapsed: 0.039 s
% 0.16/0.52 % (3857166)Peak memory usage: 13 MB
% 0.16/0.52 % (3857166)Instructions burned: 104 (million)
% 0.16/0.52 % TRYING [3]
% 0.16/0.52 % (3857177)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=683758427:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.52 % (3857167) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3857158-3857167"...
% 0.16/0.52 % (3857167)...printing done.
% 0.16/0.52 % (3857167)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status Theorem for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (3857167)------------------------------
% 0.16/0.53 % (3857167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.53 % (3857167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.53 % (3857167)CaDiCaL version: 2.1.3
% 0.16/0.53 % (3857167)Termination reason: Refutation
% 0.16/0.53 % (3857167)Time elapsed: 0.057 s
% 0.16/0.53 % (3857167)Peak memory usage: 14 MB
% 0.16/0.53 % (3857167)Instructions burned: 92 (million)
% 0.16/0.53 % (3857158)Success in time 0.105 s
% 0.16/0.53 % Vampire exiting
%------------------------------------------------------------------------------