%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM573+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:15:48 PM UTC 2026
% Result : Theorem 5.61s 1.82s
% Output : Refutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 29
% Syntax : Number of formulae : 201 ( 36 unt; 13 def)
% Number of atoms : 732 ( 89 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 895 ( 364 ~; 371 |; 115 &)
% ( 22 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 9 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 224 ( 0 sgn 211 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f8,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
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(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).
fof(f84,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( iLess0(X0,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f85,conjecture,
( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f96,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f97,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f96]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f103,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
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(ennf_transformation,[],[f16]) ).
fof(f111,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,[],[f110]) ).
fof(f135,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f136,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f135]) ).
fof(f139,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f140,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f153,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(f154,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f153]) ).
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(ennf_transformation,[],[f81]) ).
fof(f196,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,[],[f195]) ).
fof(f197,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f198,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f199,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi)
& sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f201,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi)
& sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) ),
inference(flattening,[],[f200]) ).
fof(f205,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(f206,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(f207,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f111,f206,f205]) ).
fof(f212,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,[],[f100]) ).
fof(f213,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,[],[f212]) ).
fof(f214,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,[],[f213]) ).
fof(f215,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))],[f214]) ).
fof(f222,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,[],[f206]) ).
fof(f223,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,[],[f222]) ).
fof(f224,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,[],[f205]) ).
fof(f225,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,[],[f224]) ).
fof(f226,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,[],[f225]) ).
fof(f227,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))],[f226]) ).
fof(f233,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,[],[f154]) ).
fof(f234,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,[],[f233]) ).
fof(f235,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,[],[f234]) ).
fof(f236,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))],[f235]) ).
fof(f268,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi)
& sdtlseqdt0(xj,xi)
& aElementOf0(sK25,szNzAzT0)
& xi = szszuzczcdt0(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f201]) ).
fof(f269,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f273,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f276,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f277,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f278,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f279,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f281,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f296,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f299,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f307,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f315,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f331,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f332,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f344,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f236]) ).
fof(f429,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,[],[f196]) ).
fof(f433,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f434,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f435,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f436,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f437,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f438,plain,
xi = szszuzczcdt0(sK25),
inference(cnf_transformation,[],[f268]) ).
fof(f439,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f268]) ).
fof(f440,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f268]) ).
fof(f442,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f268]) ).
fof(f448,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f296]) ).
fof(f451,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f344]) ).
fof(f480,definition,
sF26 = sdtlpdtrp0(xN,xi),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f481,plain,
sdtlpdtrp0(xN,xi) = sF26,
inference(reorient_equations,[],[f480]) ).
fof(f482,definition,
sF27 = sdtlpdtrp0(xN,xj),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f483,plain,
sdtlpdtrp0(xN,xj) = sF27,
inference(reorient_equations,[],[f482]) ).
fof(f484,plain,
~ aSubsetOf0(sF26,sF27),
inference(definition_folding,[],[f442,f483,f481]) ).
fof(f485,definition,
sF28 = szszuzczcdt0(sK25),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f486,plain,
szszuzczcdt0(sK25) = sF28,
inference(reorient_equations,[],[f485]) ).
fof(f487,plain,
xi = sF28,
inference(definition_folding,[],[f438,f486]) ).
fof(f490,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f429,f434]) ).
fof(f506,plain,
xi = szszuzczcdt0(sK25),
inference(forward_demodulation,[],[f486,f487]) ).
fof(f508,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f490,f433]) ).
fof(f537,plain,
! [X0] :
( sdtlseqdt0(xi,X0)
| sdtlseqdt0(X0,sK25)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f331,f506]) ).
fof(f538,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK25)
| sdtlseqdt0(xi,X0) ),
inference(forward_subsumption_resolution,[],[f537,f439]) ).
fof(f564,plain,
( iLess0(sK25,xi)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f332,f506]) ).
fof(f565,plain,
iLess0(sK25,xi),
inference(forward_subsumption_resolution,[],[f564,f439]) ).
fof(f570,plain,
( ~ sdtlseqdt0(xi,xj)
| xj = xi
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f440,f329]) ).
fof(f571,plain,
( ~ sdtlseqdt0(xi,xj)
| xj = xi
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f570,f435]) ).
fof(f572,plain,
( ~ sdtlseqdt0(xi,xj)
| xj = xi ),
inference(forward_subsumption_resolution,[],[f571,f436]) ).
fof(f574,definition,
( spl29_12
<=> xj = xi ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f576,plain,
( xj = xi
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f578,definition,
( spl29_13
<=> sdtlseqdt0(xi,xj) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f580,plain,
( ~ sdtlseqdt0(xi,xj)
| spl29_13 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
( spl29_12
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f572,f578,f574]) ).
fof(f588,plain,
( aSubsetOf0(sF26,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f434,f481]) ).
fof(f589,plain,
( aSubsetOf0(sF27,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(superposition,[],[f434,f483]) ).
fof(f590,plain,
aSubsetOf0(sF27,szNzAzT0),
inference(forward_subsumption_resolution,[],[f589,f436]) ).
fof(f591,plain,
aSubsetOf0(sF26,szNzAzT0),
inference(forward_subsumption_resolution,[],[f588,f435]) ).
fof(f592,plain,
( sdtlseqdt0(xj,sK25)
| sdtlseqdt0(xi,xj) ),
inference(resolution,[],[f436,f538]) ).
fof(f593,plain,
( sdtlseqdt0(xj,sK25)
| spl29_13 ),
inference(forward_subsumption_resolution,[],[f592,f580]) ).
fof(f670,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f277,f434]) ).
fof(f675,plain,
( aSet0(sF26)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f277,f591]) ).
fof(f677,plain,
( aSet0(sF27)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f277,f590]) ).
fof(f679,plain,
aSet0(sF27),
inference(forward_subsumption_resolution,[],[f677,f315]) ).
fof(f685,definition,
( spl29_23
<=> aSet0(sF26) ),
introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).
fof(f687,plain,
( aSet0(sF26)
| ~ spl29_23 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f689,plain,
aSet0(sF26),
inference(forward_subsumption_resolution,[],[f675,f315]) ).
fof(f691,definition,
( spl29_24
<=> aSet0(sF27) ),
introduced(definition,[new_symbols(definition,[spl29_24])],[avatar_definition]) ).
fof(f692,plain,
( aSet0(sF27)
| ~ spl29_24 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f702,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f670,f315]) ).
fof(f703,plain,
spl29_24,
inference(avatar_split_clause,[],[f679,f691]) ).
fof(f704,plain,
spl29_23,
inference(avatar_split_clause,[],[f689,f685]) ).
fof(f716,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f276,f434]) ).
fof(f717,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,sdtlpdtrp0(xN,X2))
| ~ aSet0(sdtlpdtrp0(xN,X2))
| ~ iLess0(X1,xi)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(resolution,[],[f276,f437]) ).
fof(f720,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))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f276,f508]) ).
fof(f733,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,sdtlpdtrp0(xN,X2))
| ~ iLess0(X1,xi)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f717,f702]) ).
fof(f734,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f716,f315]) ).
fof(f1102,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(resolution,[],[f734,f451]) ).
fof(f1106,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(forward_subsumption_resolution,[],[f1102,f434]) ).
fof(f1111,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1106,f269]) ).
fof(f1116,plain,
! [X0] :
( aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1111,f315]) ).
fof(f1774,plain,
( sdtlpdtrp0(xN,xi) = sF27
| ~ spl29_12 ),
inference(superposition,[],[f483,f576]) ).
fof(f1781,plain,
( sF26 = sF27
| ~ spl29_12 ),
inference(forward_demodulation,[],[f1774,f481]) ).
fof(f1796,plain,
( ~ aSubsetOf0(sF26,sF26)
| ~ spl29_12 ),
inference(superposition,[],[f484,f1781]) ).
fof(f1806,plain,
( ~ aSet0(sF26)
| ~ spl29_12 ),
inference(resolution,[],[f1796,f281]) ).
fof(f1807,plain,
( $false
| ~ spl29_12
| ~ spl29_23 ),
inference(forward_subsumption_resolution,[],[f1806,f687]) ).
fof(f1808,plain,
( ~ spl29_12
| ~ spl29_23 ),
inference(avatar_contradiction_clause,[],[f1807]) ).
fof(f2412,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f448,f302]) ).
fof(f2637,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f299,f448]) ).
fof(f2835,definition,
( spl29_135
<=> ! [X0] :
( aElementOf0(X0,sF27)
| ~ aElementOf0(X0,sF26) ) ),
introduced(definition,[new_symbols(definition,[spl29_135])],[avatar_definition]) ).
fof(f2836,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF26)
| aElementOf0(X0,sF27) )
| ~ spl29_135 ),
inference(avatar_component_clause,[],[f2835]) ).
fof(f2843,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF26),sF27)
| ~ aSet0(sF26)
| aSubsetOf0(sF26,X0)
| ~ aSet0(X0) )
| ~ spl29_135 ),
inference(resolution,[],[f2836,f278]) ).
fof(f2844,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF26),sF27)
| aSubsetOf0(sF26,X0)
| ~ aSet0(X0) )
| ~ spl29_23
| ~ spl29_135 ),
inference(forward_subsumption_resolution,[],[f2843,f687]) ).
fof(f2848,plain,
( aSubsetOf0(sF26,sF27)
| ~ aSet0(sF27)
| ~ aSet0(sF26)
| aSubsetOf0(sF26,sF27)
| ~ aSet0(sF27)
| ~ spl29_23
| ~ spl29_135 ),
inference(resolution,[],[f2844,f279]) ).
fof(f2855,plain,
( aSubsetOf0(sF26,sF27)
| ~ aSet0(sF27)
| ~ aSet0(sF26)
| ~ spl29_23
| ~ spl29_135 ),
inference(duplicate_literal_removal,[],[f2848]) ).
fof(f2858,plain,
( ~ aSet0(sF27)
| ~ aSet0(sF26)
| ~ spl29_23
| ~ spl29_135 ),
inference(forward_subsumption_resolution,[],[f2855,f484]) ).
fof(f2861,plain,
( ~ aSet0(sF26)
| ~ spl29_23
| ~ spl29_24
| ~ spl29_135 ),
inference(forward_subsumption_resolution,[],[f2858,f692]) ).
fof(f2865,plain,
( $false
| ~ spl29_23
| ~ spl29_24
| ~ spl29_135 ),
inference(forward_subsumption_resolution,[],[f2861,f687]) ).
fof(f2866,plain,
( ~ spl29_23
| ~ spl29_24
| ~ spl29_135 ),
inference(avatar_contradiction_clause,[],[f2865]) ).
fof(f3403,plain,
! [X0] :
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f274,f433]) ).
fof(f3419,plain,
! [X0] :
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f3403,f702]) ).
fof(f3984,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP3(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ),
inference(resolution,[],[f720,f2637]) ).
fof(f3992,plain,
! [X0,X1] :
( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(forward_subsumption_resolution,[],[f3984,f2412]) ).
fof(f4049,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(resolution,[],[f3992,f307]) ).
fof(f4055,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(forward_subsumption_resolution,[],[f4049,f702]) ).
fof(f4742,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,sdtlpdtrp0(xN,sK25))
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25))) ),
inference(superposition,[],[f4055,f506]) ).
fof(f4743,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,sdtlpdtrp0(xN,sK25))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25))) ),
inference(forward_subsumption_resolution,[],[f4742,f439]) ).
fof(f4750,plain,
! [X0] :
( ~ aElementOf0(X0,sF26)
| aElementOf0(X0,sdtlpdtrp0(xN,sK25))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25))) ),
inference(forward_demodulation,[],[f4743,f481]) ).
fof(f5960,definition,
( spl29_278
<=> aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25))) ),
introduced(definition,[new_symbols(definition,[spl29_278])],[avatar_definition]) ).
fof(f5962,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25)))
| spl29_278 ),
inference(avatar_component_clause,[],[f5960]) ).
fof(f5964,definition,
( spl29_279
<=> ! [X0] :
( ~ aElementOf0(X0,sF26)
| aElementOf0(X0,sdtlpdtrp0(xN,sK25)) ) ),
introduced(definition,[new_symbols(definition,[spl29_279])],[avatar_definition]) ).
fof(f5965,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,sK25))
| ~ aElementOf0(X0,sF26) )
| ~ spl29_279 ),
inference(avatar_component_clause,[],[f5964]) ).
fof(f5966,plain,
( ~ spl29_278
| spl29_279 ),
inference(avatar_split_clause,[],[f4750,f5964,f5960]) ).
fof(f6092,definition,
( spl29_305
<=> slcrc0 = sdtlpdtrp0(xN,sK25) ),
introduced(definition,[new_symbols(definition,[spl29_305])],[avatar_definition]) ).
fof(f6093,plain,
( slcrc0 != sdtlpdtrp0(xN,sK25)
| spl29_305 ),
inference(avatar_component_clause,[],[f6092]) ).
fof(f6094,plain,
( slcrc0 = sdtlpdtrp0(xN,sK25)
| ~ spl29_305 ),
inference(avatar_component_clause,[],[f6092]) ).
fof(f6180,plain,
( ~ isFinite0(slcrc0)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ spl29_305 ),
inference(superposition,[],[f3419,f6094]) ).
fof(f6192,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| ~ spl29_305 ),
inference(forward_subsumption_resolution,[],[f6180,f273]) ).
fof(f6213,plain,
( $false
| ~ spl29_305 ),
inference(forward_subsumption_resolution,[],[f6192,f439]) ).
fof(f6214,plain,
~ spl29_305,
inference(avatar_contradiction_clause,[],[f6213]) ).
fof(f6262,plain,
( slcrc0 = sdtlpdtrp0(xN,sK25)
| ~ aElementOf0(sK25,szNzAzT0)
| spl29_278 ),
inference(resolution,[],[f5962,f1116]) ).
fof(f6263,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl29_278
| spl29_305 ),
inference(forward_subsumption_resolution,[],[f6262,f6093]) ).
fof(f6264,plain,
( $false
| spl29_278
| spl29_305 ),
inference(forward_subsumption_resolution,[],[f6263,f439]) ).
fof(f6265,plain,
( spl29_278
| spl29_305 ),
inference(avatar_contradiction_clause,[],[f6264]) ).
fof(f6268,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sF26)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ iLess0(sK25,xi)
| ~ sdtlseqdt0(X1,sK25)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl29_279 ),
inference(resolution,[],[f5965,f733]) ).
fof(f6276,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sF26)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,sK25)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl29_279 ),
inference(forward_subsumption_resolution,[],[f6268,f565]) ).
fof(f6287,plain,
( ! [X0,X1] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,sF26)
| ~ sdtlseqdt0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl29_279 ),
inference(forward_subsumption_resolution,[],[f6276,f439]) ).
fof(f6311,plain,
( ! [X0] :
( aElementOf0(X0,sF27)
| ~ aElementOf0(X0,sF26)
| ~ sdtlseqdt0(xj,sK25)
| ~ aElementOf0(xj,szNzAzT0) )
| ~ spl29_279 ),
inference(superposition,[],[f6287,f483]) ).
fof(f6320,plain,
( ! [X0] :
( aElementOf0(X0,sF27)
| ~ aElementOf0(X0,sF26)
| ~ aElementOf0(xj,szNzAzT0) )
| spl29_13
| ~ spl29_279 ),
inference(forward_subsumption_resolution,[],[f6311,f593]) ).
fof(f6330,plain,
( ! [X0] :
( aElementOf0(X0,sF27)
| ~ aElementOf0(X0,sF26) )
| spl29_13
| ~ spl29_279 ),
inference(forward_subsumption_resolution,[],[f6320,f436]) ).
fof(f6567,plain,
( spl29_135
| spl29_13
| ~ spl29_279 ),
inference(avatar_split_clause,[],[f6330,f5964,f578,f2835]) ).
cnf(s8,plain,
( spl29_12
| ~ spl29_13 ),
inference(sat_conversion,[],[f581]) ).
cnf(s16,plain,
spl29_24,
inference(sat_conversion,[],[f703]) ).
cnf(s17,plain,
spl29_23,
inference(sat_conversion,[],[f704]) ).
cnf(s115,plain,
( ~ spl29_12
| ~ spl29_23 ),
inference(sat_conversion,[],[f1808]) ).
cnf(s164,plain,
( ~ spl29_23
| ~ spl29_24
| ~ spl29_135 ),
inference(sat_conversion,[],[f2866]) ).
cnf(s332,plain,
( ~ spl29_278
| spl29_279 ),
inference(sat_conversion,[],[f5966]) ).
cnf(s373,plain,
~ spl29_305,
inference(sat_conversion,[],[f6214]) ).
cnf(s378,plain,
( spl29_278
| spl29_305 ),
inference(sat_conversion,[],[f6265]) ).
cnf(s410,plain,
( spl29_13
| spl29_135
| ~ spl29_279 ),
inference(sat_conversion,[],[f6567]) ).
cnf(s416,plain,
spl29_278,
inference(rat,[],[s378,s373]) ).
cnf(s420,plain,
spl29_279,
inference(rat,[],[s332,s416]) ).
cnf(s446,plain,
~ spl29_12,
inference(rat,[],[s115,s17]) ).
cnf(s459,plain,
~ spl29_135,
inference(rat,[],[s164,s17,s16]) ).
cnf(s460,plain,
spl29_13,
inference(rat,[],[s410,s420,s459]) ).
cnf(s464,plain,
$false,
inference(rat,[],[s8,s460,s446]) ).
fof(f6598,plain,
$false,
inference(avatar_sat_refutation,[],[s464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM573+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 20:35:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.61/1.81 % (2703367)Detected formulas, will run a generic FOF schedule.
% 5.61/1.81 % (2703372)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=1033454493:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.61/1.81 % (2703373)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=2496994019:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.61/1.81 % (2703376)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3821703639:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.61/1.81 % (2703374)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=1696879926:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.61/1.81 % (2703375)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=998365770:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.61/1.81 % (2703378)dis-21_1_sil=8000:lcm=predicate:random_seed=4177725816: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)
% 5.61/1.81 % (2703377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2889725458:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.61/1.81 % (2703378)Instruction limit reached!
% 5.61/1.81 % (2703378)------------------------------
% 5.61/1.81 % (2703378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.81 % (2703378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.81 % (2703378)CaDiCaL version: 2.1.3
% 5.61/1.81 % (2703378)Termination reason: Instruction limit
% 5.61/1.81 % (2703378)Termination phase: Saturation
% 5.61/1.81 % (2703378)Time elapsed: 0.062 s
% 5.61/1.81 % (2703378)Peak memory usage: 88 MB
% 5.61/1.81 % (2703378)Instructions burned: 130 (million)
% 5.61/1.81 % (2703375)Instruction limit reached!
% 5.61/1.81 % (2703375)------------------------------
% 5.61/1.81 % (2703375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703375)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703375)Termination reason: Instruction limit
% 5.61/1.82 % (2703375)Termination phase: Saturation
% 5.61/1.82 % (2703375)Time elapsed: 0.071 s
% 5.61/1.82 % (2703375)Peak memory usage: 89 MB
% 5.61/1.82 % (2703375)Instructions burned: 110 (million)
% 5.61/1.82 % (2703376)Instruction limit reached!
% 5.61/1.82 % (2703376)------------------------------
% 5.61/1.82 % (2703376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703376)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703376)Termination reason: Instruction limit
% 5.61/1.82 % (2703376)Termination phase: Saturation
% 5.61/1.82 % (2703376)Time elapsed: 0.075 s
% 5.61/1.82 % (2703376)Peak memory usage: 88 MB
% 5.61/1.82 % (2703376)Instructions burned: 119 (million)
% 5.61/1.82 % (2703377)Instruction limit reached!
% 5.61/1.82 % (2703377)------------------------------
% 5.61/1.82 % (2703377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703377)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703377)Termination reason: Instruction limit
% 5.61/1.82 % (2703377)Termination phase: Saturation
% 5.61/1.82 % (2703377)Time elapsed: 0.100 s
% 5.61/1.82 % (2703377)Peak memory usage: 90 MB
% 5.61/1.82 % (2703377)Instructions burned: 139 (million)
% 5.61/1.82 % (2703386)lrs+10_1_sil=8000:sp=occurrence:random_seed=3460684889:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.61/1.82 % (2703387)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3559474040:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.61/1.82 % (2703388)lrs+1011_1_sil=32000:sp=occurrence:random_seed=31548271:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.61/1.82 % (2703387)Refutation not found, incomplete strategy
% 5.61/1.82 % (2703387)------------------------------
% 5.61/1.82 % (2703387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703387)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703387)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.82 % (2703387)Time elapsed: 0.007 s
% 5.61/1.82 % (2703387)Peak memory usage: 88 MB
% 5.61/1.82 % (2703387)Instructions burned: 8 (million)
% 5.61/1.82 % (2703389)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=2539699637:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.61/1.82 % (2703386)Instruction limit reached!
% 5.61/1.82 % (2703386)------------------------------
% 5.61/1.82 % (2703386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703386)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703386)Termination reason: Instruction limit
% 5.61/1.82 % (2703386)Termination phase: Saturation
% 5.61/1.82 % (2703386)Time elapsed: 0.185 s
% 5.61/1.82 % (2703386)Peak memory usage: 92 MB
% 5.61/1.82 % (2703386)Instructions burned: 286 (million)
% 5.61/1.82 % (2703389)Instruction limit reached!
% 5.61/1.82 % (2703389)------------------------------
% 5.61/1.82 % (2703389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703389)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703389)Termination reason: Instruction limit
% 5.61/1.82 % (2703389)Termination phase: Saturation
% 5.61/1.82 % (2703389)Time elapsed: 0.145 s
% 5.61/1.82 % (2703389)Peak memory usage: 91 MB
% 5.61/1.82 % (2703389)Instructions burned: 248 (million)
% 5.61/1.82 % (2703388)Instruction limit reached!
% 5.61/1.82 % (2703388)------------------------------
% 5.61/1.82 % (2703388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703388)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703388)Termination reason: Instruction limit
% 5.61/1.82 % (2703388)Termination phase: Saturation
% 5.61/1.82 % (2703388)Time elapsed: 0.221 s
% 5.61/1.82 % (2703388)Peak memory usage: 92 MB
% 5.61/1.82 % (2703388)Instructions burned: 326 (million)
% 5.61/1.82 % (2703387)------------------------------
% 5.61/1.82 % (2703387)------------------------------
% 5.61/1.82 % (2703394)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3616713427:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.61/1.82 % (2703395)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1986933975:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.61/1.82 % (2703396)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3251191314:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.61/1.82 % (2703372)First to succeed.
% 5.61/1.82 % (2703372)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2703367"
% 5.61/1.82 % (2703397)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4146542695:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.61/1.82 % (2703396)Instruction limit reached!
% 5.61/1.82 % (2703396)------------------------------
% 5.61/1.82 % (2703396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703396)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703396)Termination reason: Instruction limit
% 5.61/1.82 % (2703396)Termination phase: Saturation
% 5.61/1.82 % (2703396)Time elapsed: 0.077 s
% 5.61/1.82 % (2703396)Peak memory usage: 91 MB
% 5.61/1.82 % (2703396)Instructions burned: 113 (million)
% 5.61/1.82 % (2703397)Instruction limit reached!
% 5.61/1.82 % (2703397)------------------------------
% 5.61/1.82 % (2703397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703397)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703397)Termination reason: Instruction limit
% 5.61/1.82 % (2703397)Termination phase: Saturation
% 5.61/1.82 % (2703397)Time elapsed: 0.069 s
% 5.61/1.82 % (2703397)Peak memory usage: 89 MB
% 5.61/1.82 % (2703397)Instructions burned: 129 (million)
% 5.61/1.82 % (2703394)Instruction limit reached!
% 5.61/1.82 % (2703394)------------------------------
% 5.61/1.82 % (2703394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.82 % (2703394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.82 % (2703394)CaDiCaL version: 2.1.3
% 5.61/1.82 % (2703394)Termination reason: Instruction limit
% 5.61/1.82 % (2703394)Termination phase: Saturation
% 5.61/1.82 % (2703394)Time elapsed: 0.175 s
% 5.61/1.82 % (2703394)Peak memory usage: 89 MB
% 5.61/1.82 % (2703394)Instructions burned: 296 (million)
% 5.61/1.82 % (2703372)Refutation found. Thanks to Tanya!
% 5.61/1.82 % SZS status Theorem for theBenchmark
% 5.61/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 7.32/2.00 % (2703372)------------------------------
% 7.32/2.00 % (2703372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.00 % (2703372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.00 % (2703372)CaDiCaL version: 2.1.3
% 7.32/2.00 % (2703372)Termination reason: Refutation
% 7.32/2.00 % (2703372)Time elapsed: 0.654 s
% 7.32/2.00 % (2703372)Peak memory usage: 136 MB
% 7.32/2.00 % (2703372)Instructions burned: 1568 (million)
% 7.32/2.00 % (2703372)------------------------------
% 7.32/2.00 % (2703372)------------------------------
% 7.32/2.00 % (2703367)Success in time 0.961 s
% 7.32/2.00 % Vampire exiting
%------------------------------------------------------------------------------