%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM570+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 : n026.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 12:15:47 PM UTC 2026
% Result : Theorem 12.30s 2.77s
% Output : Refutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 33
% Syntax : Number of formulae : 239 ( 29 unt; 20 def)
% Number of atoms : 891 ( 104 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1135 ( 483 ~; 487 |; 116 &)
% ( 33 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 18 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 209 ( 0 sgn 191 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
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(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
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(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,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3702) ).
fof(f83,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( iLess0(X0,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f84,conjecture,
( xi != sz00
=> ( ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f85,negated_conjecture,
~ ( xi != sz00
=> ( ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(negated_conjecture,[status(cth)],[f84]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f94,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f97,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f98,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f109]) ).
fof(f125,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f126,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f125]) ).
fof(f140,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f152,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(f153,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f152]) ).
fof(f194,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(f195,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,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f197,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
( ( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& xi != sz00 ),
inference(ennf_transformation,[],[f85]) ).
fof(f202,definition,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f203,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> sP2(X2,X0,X1) )
| ~ sP3(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f204,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f110,f203,f202]) ).
fof(f205,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f206,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f206]) ).
fof(f208,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))],[f207]) ).
fof(f209,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,[],[f99]) ).
fof(f210,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,[],[f209]) ).
fof(f211,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,[],[f210]) ).
fof(f212,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))],[f211]) ).
fof(f219,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ sP2(X2,X0,X1) )
& ( sP2(X2,X0,X1)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f203]) ).
fof(f220,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f219]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f202]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| X2 = X3
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& aElementOf0(X3,X1)
& X2 != X3 )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f222]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| sK7(X0,X1,X2) = X2
| ~ aElementOf0(sK7(X0,X1,X2),X0) )
& ( ( aElement0(sK7(X0,X1,X2))
& aElementOf0(sK7(X0,X1,X2),X1)
& sK7(X0,X1,X2) != X2 )
| aElementOf0(sK7(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f223]) ).
fof(f225,plain,
! [X0] :
( X0 = sz00
| ( aElementOf0(sK8(X0),szNzAzT0)
& szszuzczcdt0(sK8(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f126]) ).
fof(f230,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,[],[f153]) ).
fof(f231,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,[],[f230]) ).
fof(f232,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,[],[f231]) ).
fof(f233,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))],[f232]) ).
fof(f265,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f267,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f208]) ).
fof(f271,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f273,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f274,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f275,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f292,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f295,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f303,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f311,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f316,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f225]) ).
fof(f317,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f328,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f340,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f233]) ).
fof(f424,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f425,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f429,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f82]) ).
fof(f430,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f431,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f432,plain,
sz00 != xi,
inference(cnf_transformation,[],[f198]) ).
fof(f433,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f434,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f267]) ).
fof(f436,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f271]) ).
fof(f439,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f292]) ).
fof(f442,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f340]) ).
fof(f471,definition,
sF25 = sdtlpdtrp0(xN,xi),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f472,plain,
sdtlpdtrp0(xN,xi) = sF25,
inference(reorient_equations,[],[f471]) ).
fof(f473,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi
| ~ aSubsetOf0(sF25,szNzAzT0)
| ~ isCountable0(sF25) ),
inference(definition_folding,[],[f433,f472,f472]) ).
fof(f476,definition,
( spl26_1
<=> isCountable0(sF25) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f478,plain,
( ~ isCountable0(sF25)
| spl26_1 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f480,definition,
( spl26_2
<=> aSubsetOf0(sF25,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f482,plain,
( ~ aSubsetOf0(sF25,szNzAzT0)
| spl26_2 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f484,definition,
( spl26_3
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi ) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
fof(f485,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( ~ spl26_1
| ~ spl26_2
| spl26_3 ),
inference(avatar_split_clause,[],[f473,f484,f480,f476]) ).
fof(f488,definition,
( spl26_4
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).
fof(f497,definition,
( spl26_6
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl26_6])],[avatar_definition]) ).
fof(f499,plain,
( ~ isCountable0(slcrc0)
| spl26_6 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,plain,
( ~ spl26_6
| ~ spl26_4 ),
inference(avatar_split_clause,[],[f436,f488,f497]) ).
fof(f501,plain,
spl26_4,
inference(avatar_split_clause,[],[f434,f488]) ).
fof(f507,plain,
! [X0] :
( ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f431,f424]) ).
fof(f510,plain,
! [X0] :
( ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(duplicate_literal_removal,[],[f507]) ).
fof(f512,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ iLess0(X0,xi) ),
inference(forward_subsumption_resolution,[],[f510,f430]) ).
fof(f524,plain,
( xi = szszuzczcdt0(sK8(xi))
| sz00 = xi ),
inference(resolution,[],[f316,f429]) ).
fof(f528,plain,
xi = szszuzczcdt0(sK8(xi)),
inference(forward_subsumption_resolution,[],[f524,f432]) ).
fof(f529,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ iLess0(sK8(xi),xi) ),
inference(superposition,[],[f512,f528]) ).
fof(f530,plain,
( isCountable0(sF25)
| ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ iLess0(sK8(xi),xi) ),
inference(forward_demodulation,[],[f529,f472]) ).
fof(f531,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ iLess0(sK8(xi),xi)
| spl26_1 ),
inference(forward_subsumption_resolution,[],[f530,f478]) ).
fof(f533,definition,
( spl26_8
<=> iLess0(sK8(xi),xi) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f534,plain,
( iLess0(sK8(xi),xi)
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f535,plain,
( ~ iLess0(sK8(xi),xi)
| spl26_8 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f537,definition,
( spl26_9
<=> aElementOf0(sK8(xi),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f538,plain,
( aElementOf0(sK8(xi),szNzAzT0)
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f539,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| spl26_9 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f540,plain,
( ~ spl26_8
| ~ spl26_9
| spl26_1 ),
inference(avatar_split_clause,[],[f531,f476,f537,f533]) ).
fof(f545,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElementOf0(sK8(xi),szNzAzT0) ),
inference(superposition,[],[f425,f528]) ).
fof(f549,plain,
( aSubsetOf0(sF25,sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElementOf0(sK8(xi),szNzAzT0) ),
inference(forward_demodulation,[],[f545,f472]) ).
fof(f552,definition,
( spl26_10
<=> isCountable0(sdtlpdtrp0(xN,sK8(xi))) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f553,plain,
( isCountable0(sdtlpdtrp0(xN,sK8(xi)))
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( ~ isCountable0(sdtlpdtrp0(xN,sK8(xi)))
| spl26_10 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl26_11
<=> aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl26_11])],[avatar_definition]) ).
fof(f557,plain,
( aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| spl26_11 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl26_12
<=> aSubsetOf0(sF25,sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi))))) ),
introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).
fof(f562,plain,
( aSubsetOf0(sF25,sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))))
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( ~ spl26_9
| ~ spl26_10
| ~ spl26_11
| spl26_12 ),
inference(avatar_split_clause,[],[f549,f560,f556,f552,f537]) ).
fof(f565,plain,
( sz00 = xi
| ~ aElementOf0(xi,szNzAzT0)
| spl26_9 ),
inference(resolution,[],[f539,f317]) ).
fof(f566,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl26_9 ),
inference(forward_subsumption_resolution,[],[f565,f432]) ).
fof(f567,plain,
( $false
| spl26_9 ),
inference(forward_subsumption_resolution,[],[f566,f429]) ).
fof(f568,plain,
spl26_9,
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f594,plain,
( ~ iLess0(sK8(xi),xi)
| ~ aElementOf0(sK8(xi),szNzAzT0)
| spl26_11 ),
inference(resolution,[],[f558,f431]) ).
fof(f605,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ iLess0(X1,xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f272,f431]) ).
fof(f606,plain,
! [X0,X1] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f272,f425]) ).
fof(f612,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ iLess0(X1,xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f605,f311]) ).
fof(f631,plain,
( iLess0(sK8(xi),xi)
| ~ aElementOf0(sK8(xi),szNzAzT0) ),
inference(superposition,[],[f328,f528]) ).
fof(f632,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f631,f535]) ).
fof(f633,plain,
( $false
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f632,f538]) ).
fof(f634,plain,
( spl26_8
| ~ spl26_9 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f635,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ spl26_8
| spl26_11 ),
inference(forward_subsumption_resolution,[],[f594,f534]) ).
fof(f636,plain,
( $false
| ~ spl26_8
| ~ spl26_9
| spl26_11 ),
inference(forward_subsumption_resolution,[],[f635,f538]) ).
fof(f637,plain,
( ~ spl26_8
| ~ spl26_9
| spl26_11 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f638,plain,
( ~ iLess0(sK8(xi),xi)
| ~ aElementOf0(sK8(xi),szNzAzT0)
| spl26_10 ),
inference(resolution,[],[f554,f430]) ).
fof(f639,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ spl26_8
| spl26_10 ),
inference(forward_subsumption_resolution,[],[f638,f534]) ).
fof(f640,plain,
( $false
| ~ spl26_8
| ~ spl26_9
| spl26_10 ),
inference(forward_subsumption_resolution,[],[f639,f538]) ).
fof(f641,plain,
( ~ spl26_8
| ~ spl26_9
| spl26_10 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f643,plain,
( aSet0(sF25)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))))
| ~ spl26_12 ),
inference(resolution,[],[f562,f273]) ).
fof(f645,definition,
( spl26_19
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi))))) ),
introduced(definition,[new_symbols(definition,[spl26_19])],[avatar_definition]) ).
fof(f647,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))))
| spl26_19 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f649,definition,
( spl26_20
<=> aSet0(sF25) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f651,plain,
( aSet0(sF25)
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f652,plain,
( ~ spl26_19
| spl26_20
| ~ spl26_12 ),
inference(avatar_split_clause,[],[f643,f560,f649,f645]) ).
fof(f658,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl26_11 ),
inference(resolution,[],[f557,f272]) ).
fof(f659,plain,
( aSet0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aSet0(szNzAzT0)
| ~ spl26_11 ),
inference(resolution,[],[f557,f273]) ).
fof(f660,plain,
( aSet0(sdtlpdtrp0(xN,sK8(xi)))
| ~ spl26_11 ),
inference(forward_subsumption_resolution,[],[f659,f311]) ).
fof(f661,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| aElementOf0(X0,szNzAzT0) )
| ~ spl26_11 ),
inference(forward_subsumption_resolution,[],[f658,f311]) ).
fof(f691,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f439,f298]) ).
fof(f693,plain,
( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))),sdtlpdtrp0(xN,sK8(xi)))
| spl26_19 ),
inference(resolution,[],[f691,f647]) ).
fof(f694,plain,
( ~ aSet0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))))
| spl26_19 ),
inference(resolution,[],[f693,f303]) ).
fof(f695,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))))
| ~ spl26_11
| spl26_19 ),
inference(forward_subsumption_resolution,[],[f694,f660]) ).
fof(f1168,definition,
( spl26_50
<=> ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,szNzAzT0) ) ),
introduced(definition,[new_symbols(definition,[spl26_50])],[avatar_definition]) ).
fof(f1169,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,szNzAzT0) )
| ~ spl26_50 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1291,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f295,f439]) ).
fof(f1752,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP3(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ),
inference(resolution,[],[f606,f1291]) ).
fof(f1763,plain,
! [X0,X1] :
( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(forward_subsumption_resolution,[],[f1752,f691]) ).
fof(f1782,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(resolution,[],[f1763,f303]) ).
fof(f1791,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElementOf0(sK8(xi),szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))) ),
inference(superposition,[],[f1782,f528]) ).
fof(f1815,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,sK8(xi))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))),szNzAzT0)
| ~ spl26_11 ),
inference(resolution,[],[f442,f661]) ).
fof(f1821,plain,
( slcrc0 = sdtlpdtrp0(xN,sK8(xi))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))),szNzAzT0)
| ~ spl26_11 ),
inference(forward_subsumption_resolution,[],[f1815,f557]) ).
fof(f2009,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(sK8(xi),szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))) )
| ~ spl26_10 ),
inference(forward_subsumption_resolution,[],[f1791,f553]) ).
fof(f2023,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(xi)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))) )
| ~ spl26_9
| ~ spl26_10 ),
inference(forward_subsumption_resolution,[],[f2009,f538]) ).
fof(f2038,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aSet0(sdtlpdtrp0(xN,sK8(xi)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))) )
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_subsumption_resolution,[],[f2023,f557]) ).
fof(f2047,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))) )
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_subsumption_resolution,[],[f2038,f660]) ).
fof(f2056,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))) )
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f2047,f472]) ).
fof(f2224,definition,
( spl26_110
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl26_110])],[avatar_definition]) ).
fof(f2226,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))),szNzAzT0)
| ~ spl26_110 ),
inference(avatar_component_clause,[],[f2224]) ).
fof(f2228,definition,
( spl26_111
<=> slcrc0 = sdtlpdtrp0(xN,sK8(xi)) ),
introduced(definition,[new_symbols(definition,[spl26_111])],[avatar_definition]) ).
fof(f2230,plain,
( slcrc0 = sdtlpdtrp0(xN,sK8(xi))
| ~ spl26_111 ),
inference(avatar_component_clause,[],[f2228]) ).
fof(f2231,plain,
( spl26_110
| spl26_111
| ~ spl26_11 ),
inference(avatar_split_clause,[],[f1821,f556,f2228,f2224]) ).
fof(f2282,plain,
( isCountable0(slcrc0)
| ~ iLess0(sK8(xi),xi)
| ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ spl26_111 ),
inference(superposition,[],[f430,f2230]) ).
fof(f2308,plain,
( ~ iLess0(sK8(xi),xi)
| ~ aElementOf0(sK8(xi),szNzAzT0)
| spl26_6
| ~ spl26_111 ),
inference(forward_subsumption_resolution,[],[f2282,f499]) ).
fof(f2314,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| spl26_6
| ~ spl26_8
| ~ spl26_111 ),
inference(forward_subsumption_resolution,[],[f2308,f534]) ).
fof(f2316,plain,
( $false
| spl26_6
| ~ spl26_8
| ~ spl26_9
| ~ spl26_111 ),
inference(forward_subsumption_resolution,[],[f2314,f538]) ).
fof(f2317,plain,
( spl26_6
| ~ spl26_8
| ~ spl26_9
| ~ spl26_111 ),
inference(avatar_contradiction_clause,[],[f2316]) ).
fof(f2353,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))))
| ~ aSet0(szNzAzT0)
| ~ spl26_110 ),
inference(resolution,[],[f2226,f265]) ).
fof(f2354,plain,
( ~ aSet0(szNzAzT0)
| ~ spl26_11
| spl26_19
| ~ spl26_110 ),
inference(forward_subsumption_resolution,[],[f2353,f695]) ).
fof(f2369,plain,
( $false
| ~ spl26_11
| spl26_19
| ~ spl26_110 ),
inference(forward_subsumption_resolution,[],[f2354,f311]) ).
fof(f2370,plain,
( ~ spl26_11
| spl26_19
| ~ spl26_110 ),
inference(avatar_contradiction_clause,[],[f2369]) ).
fof(f2379,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi))))
| ~ spl26_110 ),
inference(forward_subsumption_resolution,[],[f2353,f311]) ).
fof(f2386,definition,
( spl26_122
<=> ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi))) ) ),
introduced(definition,[new_symbols(definition,[spl26_122])],[avatar_definition]) ).
fof(f2387,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aElementOf0(X0,sF25) )
| ~ spl26_122 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f2414,definition,
( spl26_127
<=> aElement0(szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))) ),
introduced(definition,[new_symbols(definition,[spl26_127])],[avatar_definition]) ).
fof(f2417,plain,
( ~ spl26_127
| spl26_122
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11 ),
inference(avatar_split_clause,[],[f2056,f556,f552,f537,f2386,f2414]) ).
fof(f2420,plain,
( spl26_127
| ~ spl26_110 ),
inference(avatar_split_clause,[],[f2379,f2224,f2414]) ).
fof(f2422,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,szNzAzT0)
| ~ iLess0(sK8(xi),xi)
| ~ aElementOf0(sK8(xi),szNzAzT0) )
| ~ spl26_122 ),
inference(resolution,[],[f2387,f612]) ).
fof(f2427,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK8(xi),szNzAzT0) )
| ~ spl26_8
| ~ spl26_122 ),
inference(forward_subsumption_resolution,[],[f2422,f534]) ).
fof(f2429,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,szNzAzT0) )
| ~ spl26_8
| ~ spl26_9
| ~ spl26_122 ),
inference(forward_subsumption_resolution,[],[f2427,f538]) ).
fof(f2430,plain,
( spl26_50
| ~ spl26_8
| ~ spl26_9
| ~ spl26_122 ),
inference(avatar_split_clause,[],[f2429,f2386,f537,f533,f1168]) ).
fof(f2448,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF25),szNzAzT0)
| ~ aSet0(sF25)
| aSubsetOf0(sF25,X0)
| ~ aSet0(X0) )
| ~ spl26_50 ),
inference(resolution,[],[f1169,f274]) ).
fof(f2450,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF25),szNzAzT0)
| aSubsetOf0(sF25,X0)
| ~ aSet0(X0) )
| ~ spl26_20
| ~ spl26_50 ),
inference(forward_subsumption_resolution,[],[f2448,f651]) ).
fof(f2451,plain,
( aSubsetOf0(sF25,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(sF25)
| aSubsetOf0(sF25,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl26_20
| ~ spl26_50 ),
inference(resolution,[],[f2450,f275]) ).
fof(f2457,plain,
( aSubsetOf0(sF25,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(sF25)
| ~ spl26_20
| ~ spl26_50 ),
inference(duplicate_literal_removal,[],[f2451]) ).
fof(f2459,plain,
( ~ aSet0(szNzAzT0)
| ~ aSet0(sF25)
| spl26_2
| ~ spl26_20
| ~ spl26_50 ),
inference(forward_subsumption_resolution,[],[f2457,f482]) ).
fof(f2460,plain,
( ~ aSet0(sF25)
| spl26_2
| ~ spl26_20
| ~ spl26_50 ),
inference(forward_subsumption_resolution,[],[f2459,f311]) ).
fof(f2461,plain,
( $false
| spl26_2
| ~ spl26_20
| ~ spl26_50 ),
inference(forward_subsumption_resolution,[],[f2460,f651]) ).
fof(f2462,plain,
( spl26_2
| ~ spl26_20
| ~ spl26_50 ),
inference(avatar_contradiction_clause,[],[f2461]) ).
fof(f2593,plain,
( xi != xi
| ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ spl26_3 ),
inference(superposition,[],[f485,f528]) ).
fof(f2595,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ spl26_3 ),
inference(trivial_inequality_removal,[],[f2593]) ).
fof(f2596,plain,
( $false
| ~ spl26_3
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2595,f538]) ).
fof(f2597,plain,
( ~ spl26_3
| ~ spl26_9 ),
inference(avatar_contradiction_clause,[],[f2596]) ).
cnf(s1,plain,
( ~ spl26_1
| ~ spl26_2
| spl26_3 ),
inference(sat_conversion,[],[f486]) ).
cnf(s3,plain,
( ~ spl26_4
| ~ spl26_6 ),
inference(sat_conversion,[],[f500]) ).
cnf(s4,plain,
spl26_4,
inference(sat_conversion,[],[f501]) ).
cnf(s6,plain,
( spl26_1
| ~ spl26_8
| ~ spl26_9 ),
inference(sat_conversion,[],[f540]) ).
cnf(s7,plain,
( ~ spl26_9
| ~ spl26_10
| ~ spl26_11
| spl26_12 ),
inference(sat_conversion,[],[f563]) ).
cnf(s8,plain,
spl26_9,
inference(sat_conversion,[],[f568]) ).
cnf(s14,plain,
( spl26_8
| ~ spl26_9 ),
inference(sat_conversion,[],[f634]) ).
cnf(s15,plain,
( ~ spl26_8
| ~ spl26_9
| spl26_11 ),
inference(sat_conversion,[],[f637]) ).
cnf(s16,plain,
( ~ spl26_8
| ~ spl26_9
| spl26_10 ),
inference(sat_conversion,[],[f641]) ).
cnf(s17,plain,
( ~ spl26_12
| ~ spl26_19
| spl26_20 ),
inference(sat_conversion,[],[f652]) ).
cnf(s106,plain,
( ~ spl26_11
| spl26_110
| spl26_111 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s111,plain,
( spl26_6
| ~ spl26_8
| ~ spl26_9
| ~ spl26_111 ),
inference(sat_conversion,[],[f2317]) ).
cnf(s117,plain,
( ~ spl26_11
| spl26_19
| ~ spl26_110 ),
inference(sat_conversion,[],[f2370]) ).
cnf(s123,plain,
( ~ spl26_9
| ~ spl26_10
| ~ spl26_11
| spl26_122
| ~ spl26_127 ),
inference(sat_conversion,[],[f2417]) ).
cnf(s126,plain,
( ~ spl26_110
| spl26_127 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s128,plain,
( ~ spl26_8
| ~ spl26_9
| spl26_50
| ~ spl26_122 ),
inference(sat_conversion,[],[f2430]) ).
cnf(s130,plain,
( spl26_2
| ~ spl26_20
| ~ spl26_50 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s147,plain,
( ~ spl26_3
| ~ spl26_9 ),
inference(sat_conversion,[],[f2597]) ).
cnf(s160,plain,
~ spl26_3,
inference(rat,[],[s147,s8]) ).
cnf(s161,plain,
spl26_8,
inference(rat,[],[s14,s8]) ).
cnf(s162,plain,
spl26_10,
inference(rat,[],[s16,s8,s161]) ).
cnf(s163,plain,
spl26_11,
inference(rat,[],[s15,s8,s161]) ).
cnf(s164,plain,
spl26_12,
inference(rat,[],[s7,s163,s162,s8]) ).
cnf(s165,plain,
spl26_1,
inference(rat,[],[s6,s8,s161]) ).
cnf(s166,plain,
~ spl26_6,
inference(rat,[],[s3,s4]) ).
cnf(s167,plain,
~ spl26_111,
inference(rat,[],[s111,s161,s8,s166]) ).
cnf(s169,plain,
spl26_110,
inference(rat,[],[s106,s163,s167]) ).
cnf(s171,plain,
spl26_127,
inference(rat,[],[s126,s169]) ).
cnf(s172,plain,
spl26_19,
inference(rat,[],[s117,s163,s169]) ).
cnf(s174,plain,
spl26_122,
inference(rat,[],[s123,s163,s162,s8,s171]) ).
cnf(s176,plain,
spl26_20,
inference(rat,[],[s17,s164,s172]) ).
cnf(s178,plain,
spl26_50,
inference(rat,[],[s128,s161,s8,s174]) ).
cnf(s179,plain,
spl26_2,
inference(rat,[],[s130,s178,s176]) ).
cnf(s182,plain,
$false,
inference(rat,[],[s1,s160,s179,s165]) ).
fof(f2598,plain,
$false,
inference(avatar_sat_refutation,[],[s182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM570+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 20:35:27 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 12.30/2.77 % (3187581)Detected formulas, will run a generic FOF schedule.
% 12.30/2.77 % (3187593)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=3223815062:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.30/2.77 % (3187596)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2102876289:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.30/2.77 % (3187591)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=3365735309:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.30/2.77 % (3187594)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3267423057:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.30/2.77 % (3187592)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=803216094:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.30/2.77 % (3187595)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=315332279:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.30/2.77 % (3187597)dis-21_1_sil=8000:lcm=predicate:random_seed=4190341223: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)
% 12.30/2.77 % (3187595)Instruction limit reached!
% 12.30/2.77 % (3187595)------------------------------
% 12.30/2.77 % (3187595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187595)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187595)Termination reason: Instruction limit
% 12.30/2.77 % (3187595)Termination phase: Saturation
% 12.30/2.77 % (3187595)Time elapsed: 0.090 s
% 12.30/2.77 % (3187595)Peak memory usage: 88 MB
% 12.30/2.77 % (3187595)Instructions burned: 119 (million)
% 12.30/2.77 % (3187597)Instruction limit reached!
% 12.30/2.77 % (3187597)------------------------------
% 12.30/2.77 % (3187597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187597)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187597)Termination reason: Instruction limit
% 12.30/2.77 % (3187597)Termination phase: Saturation
% 12.30/2.77 % (3187597)Time elapsed: 0.095 s
% 12.30/2.77 % (3187597)Peak memory usage: 88 MB
% 12.30/2.77 % (3187597)Instructions burned: 131 (million)
% 12.30/2.77 % (3187594)Instruction limit reached!
% 12.30/2.77 % (3187594)------------------------------
% 12.30/2.77 % (3187594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187594)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187594)Termination reason: Instruction limit
% 12.30/2.77 % (3187594)Termination phase: Saturation
% 12.30/2.77 % (3187594)Time elapsed: 0.113 s
% 12.30/2.77 % (3187594)Peak memory usage: 89 MB
% 12.30/2.77 % (3187594)Instructions burned: 110 (million)
% 12.30/2.77 % (3187596)Instruction limit reached!
% 12.30/2.77 % (3187596)------------------------------
% 12.30/2.77 % (3187596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187596)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187596)Termination reason: Instruction limit
% 12.30/2.77 % (3187596)Termination phase: Saturation
% 12.30/2.77 % (3187596)Time elapsed: 0.155 s
% 12.30/2.77 % (3187596)Peak memory usage: 90 MB
% 12.30/2.77 % (3187596)Instructions burned: 139 (million)
% 12.30/2.77 % (3187611)lrs+10_1_sil=32000:urr=on:br=off:random_seed=851062120:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.30/2.77 % (3187609)lrs+10_1_sil=8000:sp=occurrence:random_seed=2148596900:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.30/2.77 % (3187613)lrs+1011_1_sil=32000:sp=occurrence:random_seed=588806335:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.30/2.77 % (3187615)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=1539798256:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.30/2.77 % (3187611)Instruction limit reached!
% 12.30/2.77 % (3187611)------------------------------
% 12.30/2.77 % (3187611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187611)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187611)Termination reason: Instruction limit
% 12.30/2.77 % (3187611)Termination phase: Saturation
% 12.30/2.77 % (3187611)Time elapsed: 0.152 s
% 12.30/2.77 % (3187611)Peak memory usage: 89 MB
% 12.30/2.77 % (3187611)Instructions burned: 157 (million)
% 12.30/2.77 % (3187609)Instruction limit reached!
% 12.30/2.77 % (3187609)------------------------------
% 12.30/2.77 % (3187609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187609)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187609)Termination reason: Instruction limit
% 12.30/2.77 % (3187609)Termination phase: Saturation
% 12.30/2.77 % (3187609)Time elapsed: 0.286 s
% 12.30/2.77 % (3187609)Peak memory usage: 92 MB
% 12.30/2.77 % (3187609)Instructions burned: 285 (million)
% 12.30/2.77 % (3187615)Instruction limit reached!
% 12.30/2.77 % (3187615)------------------------------
% 12.30/2.77 % (3187615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187615)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187615)Termination reason: Instruction limit
% 12.30/2.77 % (3187615)Termination phase: Saturation
% 12.30/2.77 % (3187615)Time elapsed: 0.243 s
% 12.30/2.77 % (3187615)Peak memory usage: 91 MB
% 12.30/2.77 % (3187615)Instructions burned: 248 (million)
% 12.30/2.77 % (3187613)Instruction limit reached!
% 12.30/2.77 % (3187613)------------------------------
% 12.30/2.77 % (3187613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187613)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187613)Termination reason: Instruction limit
% 12.30/2.77 % (3187613)Termination phase: Saturation
% 12.30/2.77 % (3187613)Time elapsed: 0.329 s
% 12.30/2.77 % (3187613)Peak memory usage: 91 MB
% 12.30/2.77 % (3187613)Instructions burned: 325 (million)
% 12.30/2.77 % (3187620)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=332564870:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 12.30/2.77 % (3187621)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3872881522:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.30/2.77 % (3187622)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=315350973:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 12.30/2.77 % (3187623)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=305989589:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.30/2.77 % (3187622)Instruction limit reached!
% 12.30/2.77 % (3187622)------------------------------
% 12.30/2.77 % (3187622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187622)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187622)Termination reason: Instruction limit
% 12.30/2.77 % (3187622)Termination phase: Saturation
% 12.30/2.77 % (3187622)Time elapsed: 0.117 s
% 12.30/2.77 % (3187622)Peak memory usage: 90 MB
% 12.30/2.77 % (3187622)Instructions burned: 113 (million)
% 12.30/2.77 % (3187620)Instruction limit reached!
% 12.30/2.77 % (3187620)------------------------------
% 12.30/2.77 % (3187620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187620)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187620)Termination reason: Instruction limit
% 12.30/2.77 % (3187620)Termination phase: Saturation
% 12.30/2.77 % (3187620)Time elapsed: 0.296 s
% 12.30/2.77 % (3187620)Peak memory usage: 89 MB
% 12.30/2.77 % (3187620)Instructions burned: 294 (million)
% 12.30/2.77 % (3187623)Instruction limit reached!
% 12.30/2.77 % (3187623)------------------------------
% 12.30/2.77 % (3187623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187623)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187623)Termination reason: Instruction limit
% 12.30/2.77 % (3187623)Termination phase: Saturation
% 12.30/2.77 % (3187623)Time elapsed: 0.114 s
% 12.30/2.77 % (3187623)Peak memory usage: 89 MB
% 12.30/2.77 % (3187623)Instructions burned: 128 (million)
% 12.30/2.77 % (3187632)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=621681272:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 12.30/2.77 % (3187630)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2227180738:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 12.30/2.77 % (3187631)lrs+10_1_sil=8000:sp=occurrence:random_seed=1032796465:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 12.30/2.77 % (3187591)First to succeed.
% 12.30/2.77 % (3187591)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3187581"
% 12.30/2.77 % (3187630)Instruction limit reached!
% 12.30/2.77 % (3187630)------------------------------
% 12.30/2.77 % (3187630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187630)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187630)Termination reason: Instruction limit
% 12.30/2.77 % (3187630)Termination phase: Saturation
% 12.30/2.77 % (3187630)Time elapsed: 0.110 s
% 12.30/2.77 % (3187630)Peak memory usage: 89 MB
% 12.30/2.77 % (3187630)Instructions burned: 115 (million)
% 12.30/2.77 % (3187636)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1279909274:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 12.30/2.77 % (3187632)Instruction limit reached!
% 12.30/2.77 % (3187632)------------------------------
% 12.30/2.77 % (3187632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.30/2.77 % (3187632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.77 % (3187632)CaDiCaL version: 2.1.3
% 12.30/2.77 % (3187632)Termination reason: Instruction limit
% 12.30/2.77 % (3187632)Termination phase: Saturation
% 12.30/2.77 % (3187632)Time elapsed: 0.377 s
% 12.30/2.77 % (3187632)Peak memory usage: 91 MB
% 12.30/2.77 % (3187632)Instructions burned: 437 (million)
% 12.30/2.77 % (3187591)Refutation found. Thanks to Tanya!
% 12.30/2.77 % SZS status Theorem for theBenchmark
% 12.30/2.77 % SZS output start Proof for theBenchmark
% See solution above
% 14.03/3.05 % (3187591)------------------------------
% 14.03/3.05 % (3187591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.03/3.05 % (3187591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/3.05 % (3187591)CaDiCaL version: 2.1.3
% 14.03/3.05 % (3187591)Termination reason: Refutation
% 14.03/3.05 % (3187591)Time elapsed: 1.255 s
% 14.03/3.05 % (3187591)Peak memory usage: 133 MB
% 14.03/3.05 % (3187591)Instructions burned: 1208 (million)
% 14.03/3.05 % (3187591)------------------------------
% 14.03/3.05 % (3187591)------------------------------
% 14.03/3.05 % (3187581)Success in time 1.887 s
% 14.03/3.05 % Vampire exiting
%------------------------------------------------------------------------------