%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM579+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 : n006.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 12:15:50 PM UTC 2026
% Result : Theorem 28.05s 5.55s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 47
% Syntax : Number of formulae : 324 ( 53 unt; 26 def)
% Number of atoms : 1341 ( 189 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1730 ( 713 ~; 744 |; 198 &)
% ( 49 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 17 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-3 aty)
% Number of variables : 356 ( 0 sgn 333 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f15,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
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(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f43,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
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(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f76,axiom,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
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,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f85,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
=> aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
=> aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f95,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f98,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f99,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f106,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f107,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f108]) ).
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(f129,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f143,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f145]) ).
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(f168,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f169,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f168]) ).
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))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f199,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f198]) ).
fof(f202,plain,
? [X0] :
( ? [X1] :
( ~ aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f203,plain,
? [X0] :
( ? [X1] :
( ~ aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f202]) ).
fof(f204,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f205,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f206,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f109,f205,f204]) ).
fof(f207,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(f208,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(f209,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f111,f208,f207]) ).
fof(f210,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f211,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f211]) ).
fof(f213,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))],[f212]) ).
fof(f214,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(f215,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,[],[f214]) ).
fof(f216,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,[],[f215]) ).
fof(f217,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))],[f216]) ).
fof(f218,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtpldt0(X0,X1)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtpldt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f205]) ).
fof(f219,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f218]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ( sP0(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) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f204]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ( sP0(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) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0,X1,X2] :
( ( sP0(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) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f221]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK6(X0,X1,X2))
| ( ~ aElementOf0(sK6(X0,X1,X2),X1)
& sK6(X0,X1,X2) != X2 )
| ~ aElementOf0(sK6(X0,X1,X2),X0) )
& ( ( aElement0(sK6(X0,X1,X2))
& ( aElementOf0(sK6(X0,X1,X2),X1)
| sK6(X0,X1,X2) = X2 ) )
| aElementOf0(sK6(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) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f222]) ).
fof(f224,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,[],[f208]) ).
fof(f225,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,[],[f224]) ).
fof(f226,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,[],[f207]) ).
fof(f227,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,[],[f226]) ).
fof(f228,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,[],[f227]) ).
fof(f229,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))],[f228]) ).
fof(f232,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f235,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(f236,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,[],[f235]) ).
fof(f237,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,[],[f236]) ).
fof(f238,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))],[f237]) ).
fof(f251,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f169]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f251]) ).
fof(f253,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f252]) ).
fof(f254,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK14(X0,X1,X2),X0)
& sbrdtbr0(sK14(X0,X1,X2)) = X1 )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f253]) ).
fof(f270,plain,
( ~ aElementOf0(sdtpldt0(sK26,szmzizndt0(sdtlpdtrp0(xN,sK25))),slbdtsldtrb0(xS,xK))
& aSet0(sK26)
& aElementOf0(sK26,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk))
& aElementOf0(sK25,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f203]) ).
fof(f271,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f273,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f213]) ).
fof(f277,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f278,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f279,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f280,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f281,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f286,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f288,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X2 = X4
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f297,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f298,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f300,plain,
! [X2,X0,X1,X4] :
( X2 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f229]) ).
fof(f301,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f309,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f317,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f318,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f325,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f336,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f340,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f346,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f238]) ).
fof(f371,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f372,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f373,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f416,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f420,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f428,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f429,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f432,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f196]) ).
fof(f435,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f436,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f437,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f439,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f270]) ).
fof(f440,plain,
aElementOf0(sK26,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk)),
inference(cnf_transformation,[],[f270]) ).
fof(f441,plain,
aSet0(sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f442,plain,
~ aElementOf0(sdtpldt0(sK26,szmzizndt0(sdtlpdtrp0(xN,sK25))),slbdtsldtrb0(xS,xK)),
inference(cnf_transformation,[],[f270]) ).
fof(f443,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f273]) ).
fof(f445,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f277]) ).
fof(f446,plain,
! [X0,X1] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f286]) ).
fof(f448,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f298]) ).
fof(f449,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f300]) ).
fof(f451,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f346]) ).
fof(f461,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f373]) ).
fof(f462,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f461]) ).
fof(f463,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f372]) ).
fof(f464,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| sbrdtbr0(X4) = X1
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f371]) ).
fof(f480,definition,
sF27 = sdtlpdtrp0(xN,sK25),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f481,plain,
sdtlpdtrp0(xN,sK25) = sF27,
inference(reorient_equations,[],[f480]) ).
fof(f482,definition,
sF28 = szmzizndt0(sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f483,plain,
szmzizndt0(sF27) = sF28,
inference(reorient_equations,[],[f482]) ).
fof(f484,definition,
sF29 = sdtpldt0(sK26,sF28),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f485,plain,
sdtpldt0(sK26,sF28) = sF29,
inference(reorient_equations,[],[f484]) ).
fof(f486,definition,
sF30 = slbdtsldtrb0(xS,xK),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f487,plain,
slbdtsldtrb0(xS,xK) = sF30,
inference(reorient_equations,[],[f486]) ).
fof(f488,plain,
~ aElementOf0(sF29,sF30),
inference(definition_folding,[],[f442,f487,f485,f483,f481]) ).
fof(f489,definition,
sF31 = sdtmndt0(sF27,sF28),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f490,plain,
sdtmndt0(sF27,sF28) = sF31,
inference(reorient_equations,[],[f489]) ).
fof(f491,definition,
sF32 = slbdtsldtrb0(sF31,xk),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f492,plain,
slbdtsldtrb0(sF31,xk) = sF32,
inference(reorient_equations,[],[f491]) ).
fof(f493,plain,
aElementOf0(sK26,sF32),
inference(definition_folding,[],[f440,f492,f490,f483,f481,f481]) ).
fof(f498,definition,
( spl33_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f507,definition,
( spl33_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f509,plain,
( ~ isCountable0(slcrc0)
| spl33_3 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,plain,
( ~ spl33_3
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f445,f498,f507]) ).
fof(f511,plain,
spl33_1,
inference(avatar_split_clause,[],[f443,f498]) ).
fof(f512,plain,
szDzozmdt0(xc) = sF30,
inference(forward_demodulation,[],[f487,f420]) ).
fof(f515,plain,
! [X0] :
( ~ aElementOf0(X0,sF32)
| aSubsetOf0(X0,sF31)
| ~ aSet0(sF31)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f463,f492]) ).
fof(f516,plain,
! [X0] :
( ~ aElementOf0(X0,sF32)
| aSubsetOf0(X0,sF31)
| ~ aSet0(sF31) ),
inference(forward_subsumption_resolution,[],[f515,f429]) ).
fof(f518,definition,
( spl33_4
<=> aSet0(sF31) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f519,plain,
( aSet0(sF31)
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( ~ aSet0(sF31)
| spl33_4 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f522,definition,
( spl33_5
<=> ! [X0] :
( ~ aElementOf0(X0,sF32)
| aSubsetOf0(X0,sF31) ) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f523,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF32)
| aSubsetOf0(X0,sF31) )
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( ~ spl33_4
| spl33_5 ),
inference(avatar_split_clause,[],[f516,f522,f518]) ).
fof(f526,plain,
( aElementOf0(sF28,sF27)
| ~ aSubsetOf0(sF27,szNzAzT0)
| slcrc0 = sF27 ),
inference(superposition,[],[f451,f483]) ).
fof(f528,definition,
( spl33_6
<=> slcrc0 = sF27 ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f530,plain,
( slcrc0 = sF27
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f532,definition,
( spl33_7
<=> aSubsetOf0(sF27,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f533,plain,
( aSubsetOf0(sF27,szNzAzT0)
| ~ spl33_7 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f534,plain,
( ~ aSubsetOf0(sF27,szNzAzT0)
| spl33_7 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl33_8
<=> aElementOf0(sF28,sF27) ),
introduced(definition,[new_symbols(definition,[spl33_8])],[avatar_definition]) ).
fof(f538,plain,
( aElementOf0(sF28,sF27)
| ~ spl33_8 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f539,plain,
( spl33_6
| ~ spl33_7
| spl33_8 ),
inference(avatar_split_clause,[],[f526,f536,f532,f528]) ).
fof(f541,plain,
! [X0] :
( ~ aElementOf0(X0,sF32)
| sbrdtbr0(X0) = xk
| ~ aSet0(sF31)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f464,f492]) ).
fof(f558,plain,
( isCountable0(sF27)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f435,f481]) ).
fof(f559,plain,
isCountable0(sF27),
inference(forward_subsumption_resolution,[],[f558,f439]) ).
fof(f583,plain,
( sP0(sF29,sK26,sF28)
| ~ sP1(sF28,sK26) ),
inference(superposition,[],[f446,f485]) ).
fof(f585,definition,
( spl33_11
<=> sP1(sF28,sK26) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f586,plain,
( sP1(sF28,sK26)
| ~ spl33_11 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( ~ sP1(sF28,sK26)
| spl33_11 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f589,definition,
( spl33_12
<=> sP0(sF29,sK26,sF28) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f591,plain,
( sP0(sF29,sK26,sF28)
| ~ spl33_12 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f592,plain,
( ~ spl33_11
| spl33_12 ),
inference(avatar_split_clause,[],[f583,f589,f585]) ).
fof(f595,definition,
( spl33_13
<=> sP3(sF28,sF27) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f596,plain,
( sP3(sF28,sF27)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f597,plain,
( ~ sP3(sF28,sF27)
| spl33_13 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f604,plain,
( aSubsetOf0(sF27,szNzAzT0)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f436,f481]) ).
fof(f606,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl33_7 ),
inference(forward_subsumption_resolution,[],[f604,f534]) ).
fof(f608,plain,
( $false
| spl33_7 ),
inference(forward_subsumption_resolution,[],[f606,f439]) ).
fof(f609,plain,
spl33_7,
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f613,plain,
( isCountable0(slcrc0)
| ~ spl33_6 ),
inference(superposition,[],[f559,f530]) ).
fof(f616,plain,
( $false
| spl33_3
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f613,f509]) ).
fof(f617,plain,
( spl33_3
| ~ spl33_6 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f623,definition,
( spl33_15
<=> aSet0(sF27) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f624,plain,
( aSet0(sF27)
| ~ spl33_15 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f625,plain,
( ~ aSet0(sF27)
| spl33_15 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f635,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f437,f432]) ).
fof(f636,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f635,f325]) ).
fof(f640,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f636,f318]) ).
fof(f664,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f279,f436]) ).
fof(f668,plain,
( aSet0(sF27)
| ~ aSet0(szNzAzT0)
| ~ spl33_7 ),
inference(resolution,[],[f279,f533]) ).
fof(f669,plain,
( ~ aSet0(szNzAzT0)
| ~ spl33_7
| spl33_15 ),
inference(forward_subsumption_resolution,[],[f668,f625]) ).
fof(f670,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f664,f317]) ).
fof(f671,plain,
( $false
| ~ spl33_7
| spl33_15 ),
inference(forward_subsumption_resolution,[],[f669,f317]) ).
fof(f672,plain,
( ~ spl33_7
| spl33_15 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f674,plain,
( aSet0(xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f670,f432]) ).
fof(f675,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[],[f674,f318]) ).
fof(f709,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f304,f448]) ).
fof(f710,plain,
( aSet0(sF31)
| ~ sP3(sF28,sF27) ),
inference(superposition,[],[f709,f490]) ).
fof(f726,definition,
( spl33_25
<=> aSubsetOf0(sF27,xS) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f728,plain,
( aSubsetOf0(sF27,xS)
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f744,plain,
( aElement0(sF28)
| ~ aSet0(sF27)
| ~ spl33_8 ),
inference(resolution,[],[f271,f538]) ).
fof(f746,plain,
( aElement0(sF28)
| ~ spl33_8
| ~ spl33_15 ),
inference(forward_subsumption_resolution,[],[f744,f624]) ).
fof(f751,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f301,f448]) ).
fof(f754,plain,
! [X0] :
( ~ aElementOf0(X0,sF31)
| aElementOf0(X0,sF27)
| ~ sP3(sF28,sF27) ),
inference(superposition,[],[f751,f490]) ).
fof(f863,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f449,f448]) ).
fof(f865,plain,
( ~ aElementOf0(sF28,sF31)
| ~ sP3(sF28,sF27) ),
inference(superposition,[],[f863,f490]) ).
fof(f877,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,sdtpldt0(X2,X0))
| X0 = X1
| aElementOf0(X1,X2)
| ~ sP1(X0,X2) ),
inference(resolution,[],[f288,f446]) ).
fof(f880,plain,
! [X0] :
( ~ aElementOf0(X0,sF29)
| sF28 = X0
| aElementOf0(X0,sK26)
| ~ sP1(sF28,sK26) ),
inference(superposition,[],[f877,f485]) ).
fof(f976,plain,
( ~ aSet0(sF27)
| ~ aElement0(sF28)
| spl33_13 ),
inference(resolution,[],[f309,f597]) ).
fof(f979,plain,
( ~ aElement0(sF28)
| spl33_13
| ~ spl33_15 ),
inference(forward_subsumption_resolution,[],[f976,f624]) ).
fof(f980,plain,
( $false
| ~ spl33_8
| spl33_13
| ~ spl33_15 ),
inference(forward_subsumption_resolution,[],[f979,f746]) ).
fof(f981,plain,
( ~ spl33_8
| spl33_13
| ~ spl33_15 ),
inference(avatar_contradiction_clause,[],[f980]) ).
fof(f984,plain,
( ~ sP3(sF28,sF27)
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f710,f520]) ).
fof(f993,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF31)
| aElementOf0(X0,sF27) )
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f754,f596]) ).
fof(f994,plain,
( ~ aElementOf0(sF28,sF31)
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f865,f596]) ).
fof(f995,plain,
( $false
| spl33_4
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f984,f596]) ).
fof(f996,plain,
( spl33_4
| ~ spl33_13 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f997,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF32)
| sbrdtbr0(X0) = xk
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f541,f519]) ).
fof(f1003,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF32)
| sbrdtbr0(X0) = xk )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f997,f429]) ).
fof(f1064,plain,
( aSubsetOf0(sK26,sF31)
| ~ spl33_5 ),
inference(resolution,[],[f523,f493]) ).
fof(f1081,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK26)
| aElementOf0(X0,sF31)
| ~ aSet0(sF31) )
| ~ spl33_5 ),
inference(resolution,[],[f1064,f278]) ).
fof(f1082,plain,
( ! [X0] :
( ~ aElementOf0(X0,sK26)
| aElementOf0(X0,sF31) )
| ~ spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f1081,f519]) ).
fof(f1183,plain,
( ~ aSet0(sK26)
| ~ aElement0(sF28)
| spl33_11 ),
inference(resolution,[],[f297,f587]) ).
fof(f1186,plain,
( ~ aElement0(sF28)
| spl33_11 ),
inference(forward_subsumption_resolution,[],[f1183,f441]) ).
fof(f1189,plain,
( $false
| ~ spl33_8
| spl33_11
| ~ spl33_15 ),
inference(forward_subsumption_resolution,[],[f1186,f746]) ).
fof(f1190,plain,
( ~ spl33_8
| spl33_11
| ~ spl33_15 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1192,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF29)
| sF28 = X0
| aElementOf0(X0,sK26) )
| ~ spl33_11 ),
inference(forward_subsumption_resolution,[],[f880,f586]) ).
fof(f1214,definition,
( spl33_78
<=> aSet0(sF29) ),
introduced(definition,[new_symbols(definition,[spl33_78])],[avatar_definition]) ).
fof(f1215,plain,
( aSet0(sF29)
| ~ spl33_78 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1216,plain,
( ~ aSet0(sF29)
| spl33_78 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1295,plain,
( ! [X0] :
( ~ aSet0(sF29)
| aSubsetOf0(sF29,X0)
| ~ aSet0(X0)
| sF28 = sK5(X0,sF29)
| aElementOf0(sK5(X0,sF29),sK26) )
| ~ spl33_11 ),
inference(resolution,[],[f280,f1192]) ).
fof(f1337,plain,
( aSet0(sF29)
| ~ spl33_12 ),
inference(resolution,[],[f292,f591]) ).
fof(f1339,plain,
( $false
| ~ spl33_12
| spl33_78 ),
inference(forward_subsumption_resolution,[],[f1337,f1216]) ).
fof(f1340,plain,
( ~ spl33_12
| spl33_78 ),
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1341,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF29),sK26)
| ~ aSet0(X0)
| sF28 = sK5(X0,sF29)
| aSubsetOf0(sF29,X0) )
| ~ spl33_11
| ~ spl33_78 ),
inference(forward_subsumption_resolution,[],[f1295,f1215]) ).
fof(f1867,definition,
( spl33_114
<=> isFinite0(sK26) ),
introduced(definition,[new_symbols(definition,[spl33_114])],[avatar_definition]) ).
fof(f1868,plain,
( isFinite0(sK26)
| ~ spl33_114 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f1869,plain,
( ~ isFinite0(sK26)
| spl33_114 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f2136,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(sK26,X0)) = szszuzczcdt0(sbrdtbr0(sK26))
| ~ aElement0(X0)
| ~ aSet0(sK26)
| ~ isFinite0(sK26)
| aElementOf0(X0,sF31) )
| ~ spl33_4
| ~ spl33_5 ),
inference(resolution,[],[f340,f1082]) ).
fof(f2252,plain,
( aSubsetOf0(sF27,xS)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f640,f481]) ).
fof(f2256,plain,
aSubsetOf0(sF27,xS),
inference(forward_subsumption_resolution,[],[f2252,f439]) ).
fof(f2314,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF29),sF31)
| sF28 = sK5(X0,sF29)
| aSubsetOf0(sF29,X0)
| ~ aSet0(X0) )
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_78 ),
inference(resolution,[],[f1341,f1082]) ).
fof(f2497,plain,
spl33_25,
inference(avatar_split_clause,[],[f2256,f726]) ).
fof(f2688,plain,
( xk = sbrdtbr0(sK26)
| ~ spl33_4 ),
inference(resolution,[],[f1003,f493]) ).
fof(f2883,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sF27)
| aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSet0(sF27)
| ~ aSet0(xS) )
| ~ spl33_25 ),
inference(resolution,[],[f728,f285]) ).
fof(f2888,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sF27)
| aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSet0(xS) )
| ~ spl33_15
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f2883,f624]) ).
fof(f2890,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sF27)
| aSubsetOf0(X0,xS)
| ~ aSet0(X0) )
| ~ spl33_15
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f2888,f675]) ).
fof(f3189,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF29),sF27)
| aSubsetOf0(sF29,X0)
| ~ aSet0(X0)
| sF28 = sK5(X0,sF29) )
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_13
| ~ spl33_78 ),
inference(resolution,[],[f2314,f993]) ).
fof(f3894,plain,
( ~ aSet0(sF29)
| aSubsetOf0(sF29,sF27)
| ~ aSet0(sF27)
| aSubsetOf0(sF29,sF27)
| ~ aSet0(sF27)
| sF28 = sK5(sF27,sF29)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_13
| ~ spl33_78 ),
inference(resolution,[],[f281,f3189]) ).
fof(f3911,plain,
( ~ aSet0(sF29)
| aSubsetOf0(sF29,sF27)
| ~ aSet0(sF27)
| sF28 = sK5(sF27,sF29)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_13
| ~ spl33_78 ),
inference(duplicate_literal_removal,[],[f3894]) ).
fof(f3922,plain,
( aSubsetOf0(sF29,sF27)
| ~ aSet0(sF27)
| sF28 = sK5(sF27,sF29)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_13
| ~ spl33_78 ),
inference(forward_subsumption_resolution,[],[f3911,f1215]) ).
fof(f3928,plain,
( aSubsetOf0(sF29,sF27)
| sF28 = sK5(sF27,sF29)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_13
| ~ spl33_15
| ~ spl33_78 ),
inference(forward_subsumption_resolution,[],[f3922,f624]) ).
fof(f3940,definition,
( spl33_287
<=> sF28 = sK5(sF27,sF29) ),
introduced(definition,[new_symbols(definition,[spl33_287])],[avatar_definition]) ).
fof(f3942,plain,
( sF28 = sK5(sF27,sF29)
| ~ spl33_287 ),
inference(avatar_component_clause,[],[f3940]) ).
fof(f3944,definition,
( spl33_288
<=> aSubsetOf0(sF29,sF27) ),
introduced(definition,[new_symbols(definition,[spl33_288])],[avatar_definition]) ).
fof(f3946,plain,
( aSubsetOf0(sF29,sF27)
| ~ spl33_288 ),
inference(avatar_component_clause,[],[f3944]) ).
fof(f3947,plain,
( spl33_287
| spl33_288
| ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_13
| ~ spl33_15
| ~ spl33_78 ),
inference(avatar_split_clause,[],[f3928,f1214,f623,f595,f585,f522,f518,f3944,f3940]) ).
fof(f4000,plain,
( ~ aElementOf0(sF28,sF27)
| ~ aSet0(sF29)
| aSubsetOf0(sF29,sF27)
| ~ aSet0(sF27)
| ~ spl33_287 ),
inference(superposition,[],[f281,f3942]) ).
fof(f4003,plain,
( ~ aSet0(sF29)
| aSubsetOf0(sF29,sF27)
| ~ aSet0(sF27)
| ~ spl33_8
| ~ spl33_287 ),
inference(forward_subsumption_resolution,[],[f4000,f538]) ).
fof(f4005,plain,
( aSubsetOf0(sF29,sF27)
| ~ aSet0(sF27)
| ~ spl33_8
| ~ spl33_78
| ~ spl33_287 ),
inference(forward_subsumption_resolution,[],[f4003,f1215]) ).
fof(f4007,plain,
( aSubsetOf0(sF29,sF27)
| ~ spl33_8
| ~ spl33_15
| ~ spl33_78
| ~ spl33_287 ),
inference(forward_subsumption_resolution,[],[f4005,f624]) ).
fof(f4793,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(sK26)
| ~ aSet0(sK26)
| ~ spl33_4 ),
inference(superposition,[],[f336,f2688]) ).
fof(f4794,plain,
( isFinite0(sK26)
| ~ aSet0(sK26)
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f4793,f429]) ).
fof(f4796,plain,
( ~ aSet0(sK26)
| ~ spl33_4
| spl33_114 ),
inference(forward_subsumption_resolution,[],[f4794,f1869]) ).
fof(f4798,plain,
( $false
| ~ spl33_4
| spl33_114 ),
inference(forward_subsumption_resolution,[],[f4796,f441]) ).
fof(f4799,plain,
( ~ spl33_4
| spl33_114 ),
inference(avatar_contradiction_clause,[],[f4798]) ).
fof(f4805,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(sK26,X0)) = szszuzczcdt0(sbrdtbr0(sK26))
| ~ aElement0(X0)
| ~ isFinite0(sK26)
| aElementOf0(X0,sF31) )
| ~ spl33_4
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f2136,f441]) ).
fof(f4831,plain,
( ! [X0] :
( sbrdtbr0(sdtpldt0(sK26,X0)) = szszuzczcdt0(sbrdtbr0(sK26))
| ~ aElement0(X0)
| aElementOf0(X0,sF31) )
| ~ spl33_4
| ~ spl33_5
| ~ spl33_114 ),
inference(forward_subsumption_resolution,[],[f4805,f1868]) ).
fof(f4851,plain,
( ! [X0] :
( szszuzczcdt0(xk) = sbrdtbr0(sdtpldt0(sK26,X0))
| ~ aElement0(X0)
| aElementOf0(X0,sF31) )
| ~ spl33_4
| ~ spl33_5
| ~ spl33_114 ),
inference(forward_demodulation,[],[f4831,f2688]) ).
fof(f4868,plain,
( ! [X0] :
( aElementOf0(X0,sF31)
| ~ aElement0(X0)
| xK = sbrdtbr0(sdtpldt0(sK26,X0)) )
| ~ spl33_4
| ~ spl33_5
| ~ spl33_114 ),
inference(forward_demodulation,[],[f4851,f428]) ).
fof(f4897,plain,
( ~ aElement0(sF28)
| xK = sbrdtbr0(sdtpldt0(sK26,sF28))
| ~ spl33_4
| ~ spl33_5
| ~ spl33_13
| ~ spl33_114 ),
inference(resolution,[],[f4868,f994]) ).
fof(f4898,plain,
( xK = sbrdtbr0(sdtpldt0(sK26,sF28))
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(forward_subsumption_resolution,[],[f4897,f746]) ).
fof(f4901,plain,
( xK = sbrdtbr0(sF29)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(forward_demodulation,[],[f4898,f485]) ).
fof(f5130,plain,
( spl33_288
| ~ spl33_8
| ~ spl33_15
| ~ spl33_78
| ~ spl33_287 ),
inference(avatar_split_clause,[],[f4007,f3940,f1214,f623,f536,f3944]) ).
fof(f5155,plain,
( ! [X0] :
( aElementOf0(sF29,slbdtsldtrb0(X0,xK))
| ~ aSubsetOf0(sF29,X0)
| ~ aSet0(X0)
| ~ aElementOf0(xK,szNzAzT0) )
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(superposition,[],[f462,f4901]) ).
fof(f5156,plain,
( ! [X0] :
( aElementOf0(sF29,slbdtsldtrb0(X0,xK))
| ~ aSubsetOf0(sF29,X0)
| ~ aSet0(X0) )
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(forward_subsumption_resolution,[],[f5155,f416]) ).
fof(f5161,plain,
( aElementOf0(sF29,szDzozmdt0(xc))
| ~ aSubsetOf0(sF29,xS)
| ~ aSet0(xS)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(superposition,[],[f5156,f420]) ).
fof(f5166,plain,
( aElementOf0(sF29,szDzozmdt0(xc))
| ~ aSubsetOf0(sF29,xS)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(forward_subsumption_resolution,[],[f5161,f675]) ).
fof(f5168,plain,
( aElementOf0(sF29,sF30)
| ~ aSubsetOf0(sF29,xS)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(forward_demodulation,[],[f5166,f512]) ).
fof(f5171,plain,
( ~ aSubsetOf0(sF29,xS)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_114 ),
inference(forward_subsumption_resolution,[],[f5168,f488]) ).
fof(f21572,plain,
( aSubsetOf0(sF29,xS)
| ~ aSet0(sF29)
| ~ spl33_15
| ~ spl33_25
| ~ spl33_288 ),
inference(resolution,[],[f2890,f3946]) ).
fof(f21581,plain,
( ~ aSet0(sF29)
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_25
| ~ spl33_114
| ~ spl33_288 ),
inference(forward_subsumption_resolution,[],[f21572,f5171]) ).
fof(f21592,plain,
( $false
| ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_25
| ~ spl33_78
| ~ spl33_114
| ~ spl33_288 ),
inference(forward_subsumption_resolution,[],[f21581,f1215]) ).
fof(f21593,plain,
( ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_25
| ~ spl33_78
| ~ spl33_114
| ~ spl33_288 ),
inference(avatar_contradiction_clause,[],[f21592]) ).
cnf(s2,plain,
( ~ spl33_1
| ~ spl33_3 ),
inference(sat_conversion,[],[f510]) ).
cnf(s3,plain,
spl33_1,
inference(sat_conversion,[],[f511]) ).
cnf(s4,plain,
( ~ spl33_4
| spl33_5 ),
inference(sat_conversion,[],[f524]) ).
cnf(s5,plain,
( spl33_6
| ~ spl33_7
| spl33_8 ),
inference(sat_conversion,[],[f539]) ).
cnf(s7,plain,
( ~ spl33_11
| spl33_12 ),
inference(sat_conversion,[],[f592]) ).
cnf(s9,plain,
spl33_7,
inference(sat_conversion,[],[f609]) ).
cnf(s10,plain,
( spl33_3
| ~ spl33_6 ),
inference(sat_conversion,[],[f617]) ).
cnf(s13,plain,
( ~ spl33_7
| spl33_15 ),
inference(sat_conversion,[],[f672]) ).
cnf(s29,plain,
( ~ spl33_8
| spl33_13
| ~ spl33_15 ),
inference(sat_conversion,[],[f981]) ).
cnf(s31,plain,
( spl33_4
| ~ spl33_13 ),
inference(sat_conversion,[],[f996]) ).
cnf(s47,plain,
( ~ spl33_8
| spl33_11
| ~ spl33_15 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s50,plain,
( ~ spl33_12
| spl33_78 ),
inference(sat_conversion,[],[f1340]) ).
cnf(s113,plain,
spl33_25,
inference(sat_conversion,[],[f2497]) ).
cnf(s227,plain,
( ~ spl33_4
| ~ spl33_5
| ~ spl33_11
| ~ spl33_13
| ~ spl33_15
| ~ spl33_78
| spl33_287
| spl33_288 ),
inference(sat_conversion,[],[f3947]) ).
cnf(s267,plain,
( ~ spl33_4
| spl33_114 ),
inference(sat_conversion,[],[f4799]) ).
cnf(s283,plain,
( ~ spl33_8
| ~ spl33_15
| ~ spl33_78
| ~ spl33_287
| spl33_288 ),
inference(sat_conversion,[],[f5130]) ).
cnf(s1430,plain,
( ~ spl33_4
| ~ spl33_5
| ~ spl33_8
| ~ spl33_13
| ~ spl33_15
| ~ spl33_25
| ~ spl33_78
| ~ spl33_114
| ~ spl33_288 ),
inference(sat_conversion,[],[f21593]) ).
cnf(s1472,plain,
spl33_15,
inference(rat,[],[s13,s9]) ).
cnf(s1473,plain,
( spl33_6
| spl33_8 ),
inference(rat,[],[s5,s9]) ).
cnf(s1474,plain,
~ spl33_3,
inference(rat,[],[s2,s3]) ).
cnf(s1480,plain,
~ spl33_6,
inference(rat,[],[s10,s1474]) ).
cnf(s1486,plain,
spl33_8,
inference(rat,[],[s1473,s1480]) ).
cnf(s1491,plain,
spl33_11,
inference(rat,[],[s47,s1472,s1486]) ).
cnf(s1492,plain,
spl33_13,
inference(rat,[],[s29,s1472,s1486]) ).
cnf(s1497,plain,
spl33_12,
inference(rat,[],[s7,s1491]) ).
cnf(s1501,plain,
spl33_4,
inference(rat,[],[s31,s1492]) ).
cnf(s1505,plain,
spl33_78,
inference(rat,[],[s50,s1497]) ).
cnf(s1507,plain,
spl33_114,
inference(rat,[],[s267,s1501]) ).
cnf(s1511,plain,
spl33_5,
inference(rat,[],[s4,s1501]) ).
cnf(s1538,plain,
~ spl33_288,
inference(rat,[],[s1430,s1507,s1501,s1505,s113,s1472,s1492,s1486,s1511]) ).
cnf(s1542,plain,
spl33_287,
inference(rat,[],[s227,s1538,s1501,s1505,s1472,s1492,s1491,s1511]) ).
cnf(s1555,plain,
$false,
inference(rat,[],[s283,s1505,s1486,s1472,s1538,s1542]) ).
fof(f21597,plain,
$false,
inference(avatar_sat_refutation,[],[s1555]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM579+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:34:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 24.51/4.33 % (3292123)Detected formulas, will run a generic FOF schedule.
% 24.51/4.33 % (3292226)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=2198026844:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 24.51/4.33 % (3292224)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=3734753264:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 24.51/4.33 % (3292225)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=4025397158:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 24.51/4.33 % (3292229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4282837283:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 24.51/4.33 % (3292227)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3735591266:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 24.51/4.33 % (3292228)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=718181183:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 24.51/4.33 % (3292230)dis-21_1_sil=8000:lcm=predicate:random_seed=425748286: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)
% 24.51/4.33 % (3292228)Instruction limit reached!
% 24.51/4.33 % (3292228)------------------------------
% 24.51/4.33 % (3292228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.33 % (3292228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.33 % (3292228)CaDiCaL version: 2.1.3
% 24.51/4.33 % (3292228)Termination reason: Instruction limit
% 24.51/4.33 % (3292228)Termination phase: Saturation
% 24.51/4.33 % (3292228)Time elapsed: 0.078 s
% 24.51/4.33 % (3292228)Peak memory usage: 88 MB
% 24.51/4.33 % (3292228)Instructions burned: 120 (million)
% 24.51/4.33 % (3292227)Instruction limit reached!
% 24.51/4.33 % (3292227)------------------------------
% 24.51/4.33 % (3292227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.33 % (3292227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.33 % (3292227)CaDiCaL version: 2.1.3
% 24.51/4.33 % (3292227)Termination reason: Instruction limit
% 24.51/4.33 % (3292227)Termination phase: Saturation
% 24.51/4.33 % (3292227)Time elapsed: 0.083 s
% 24.51/4.33 % (3292227)Peak memory usage: 89 MB
% 24.51/4.33 % (3292227)Instructions burned: 109 (million)
% 24.51/4.33 % (3292230)Instruction limit reached!
% 24.51/4.33 % (3292230)------------------------------
% 24.51/4.33 % (3292230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.33 % (3292230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.33 % (3292230)CaDiCaL version: 2.1.3
% 24.51/4.33 % (3292230)Termination reason: Instruction limit
% 24.51/4.33 % (3292230)Termination phase: Saturation
% 24.51/4.33 % (3292230)Time elapsed: 0.084 s
% 24.51/4.33 % (3292230)Peak memory usage: 89 MB
% 24.51/4.33 % (3292230)Instructions burned: 132 (million)
% 24.51/4.33 % (3292229)Instruction limit reached!
% 24.51/4.33 % (3292229)------------------------------
% 24.51/4.33 % (3292229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.33 % (3292229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.33 % (3292229)CaDiCaL version: 2.1.3
% 24.51/4.33 % (3292229)Termination reason: Instruction limit
% 24.51/4.33 % (3292229)Termination phase: Saturation
% 24.51/4.33 % (3292229)Time elapsed: 0.128 s
% 24.51/4.33 % (3292229)Peak memory usage: 90 MB
% 24.51/4.33 % (3292229)Instructions burned: 139 (million)
% 24.51/4.33 % (3292265)lrs+10_1_sil=8000:sp=occurrence:random_seed=646637455:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 24.51/4.33 % (3292266)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3727380845:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 24.51/4.33 % (3292267)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3578140122:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 24.51/4.33 % (3292268)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=3800323214:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 24.51/4.33 % (3292266)Instruction limit reached!
% 28.05/5.55 % (3292266)------------------------------
% 28.05/5.55 % (3292266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292266)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292266)Termination reason: Instruction limit
% 28.05/5.55 % (3292266)Termination phase: Saturation
% 28.05/5.55 % (3292266)Time elapsed: 0.153 s
% 28.05/5.55 % (3292266)Peak memory usage: 90 MB
% 28.05/5.55 % (3292266)Instructions burned: 157 (million)
% 28.05/5.55 % (3292265)Instruction limit reached!
% 28.05/5.55 % (3292265)------------------------------
% 28.05/5.55 % (3292265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292265)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292265)Termination reason: Instruction limit
% 28.05/5.55 % (3292265)Termination phase: Saturation
% 28.05/5.55 % (3292265)Time elapsed: 0.290 s
% 28.05/5.55 % (3292265)Peak memory usage: 92 MB
% 28.05/5.55 % (3292265)Instructions burned: 285 (million)
% 28.05/5.55 % (3292268)Instruction limit reached!
% 28.05/5.55 % (3292268)------------------------------
% 28.05/5.55 % (3292268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292268)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292268)Termination reason: Instruction limit
% 28.05/5.55 % (3292268)Termination phase: Saturation
% 28.05/5.55 % (3292268)Time elapsed: 0.252 s
% 28.05/5.55 % (3292268)Peak memory usage: 92 MB
% 28.05/5.55 % (3292268)Instructions burned: 249 (million)
% 28.05/5.55 % (3292267)Instruction limit reached!
% 28.05/5.55 % (3292267)------------------------------
% 28.05/5.55 % (3292267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292267)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292267)Termination reason: Instruction limit
% 28.05/5.55 % (3292267)Termination phase: Saturation
% 28.05/5.55 % (3292267)Time elapsed: 0.307 s
% 28.05/5.55 % (3292267)Peak memory usage: 91 MB
% 28.05/5.55 % (3292267)Instructions burned: 326 (million)
% 28.05/5.55 % (3292285)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1172007418:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 28.05/5.55 % (3292287)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1200173080:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 28.05/5.55 % (3292286)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=962906496:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 28.05/5.55 % (3292288)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=983723470:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 28.05/5.55 % (3292287)Instruction limit reached!
% 28.05/5.55 % (3292287)------------------------------
% 28.05/5.55 % (3292287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292287)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292287)Termination reason: Instruction limit
% 28.05/5.55 % (3292287)Termination phase: Saturation
% 28.05/5.55 % (3292287)Time elapsed: 0.112 s
% 28.05/5.55 % (3292287)Peak memory usage: 91 MB
% 28.05/5.55 % (3292287)Instructions burned: 113 (million)
% 28.05/5.55 % (3292288)Instruction limit reached!
% 28.05/5.55 % (3292288)------------------------------
% 28.05/5.55 % (3292288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292288)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292288)Termination reason: Instruction limit
% 28.05/5.55 % (3292288)Termination phase: Saturation
% 28.05/5.55 % (3292288)Time elapsed: 0.071 s
% 28.05/5.55 % (3292288)Peak memory usage: 89 MB
% 28.05/5.55 % (3292288)Instructions burned: 127 (million)
% 28.05/5.55 % (3292285)Instruction limit reached!
% 28.05/5.55 % (3292285)------------------------------
% 28.05/5.55 % (3292285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292285)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292285)Termination reason: Instruction limit
% 28.05/5.55 % (3292285)Termination phase: Saturation
% 28.05/5.55 % (3292285)Time elapsed: 0.302 s
% 28.05/5.55 % (3292285)Peak memory usage: 90 MB
% 28.05/5.55 % (3292285)Instructions burned: 294 (million)
% 28.05/5.55 % (3292299)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2320981678:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 28.05/5.55 % (3292301)lrs+10_1_sil=8000:sp=occurrence:random_seed=154858712:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 28.05/5.55 % (3292303)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1036083776:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 28.05/5.55 % (3292299)Instruction limit reached!
% 28.05/5.55 % (3292299)------------------------------
% 28.05/5.55 % (3292299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292299)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292299)Termination reason: Instruction limit
% 28.05/5.55 % (3292299)Termination phase: Saturation
% 28.05/5.55 % (3292299)Time elapsed: 0.110 s
% 28.05/5.55 % (3292299)Peak memory usage: 89 MB
% 28.05/5.55 % (3292299)Instructions burned: 115 (million)
% 28.05/5.55 % (3292307)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3538258397:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 28.05/5.55 % (3292303)Instruction limit reached!
% 28.05/5.55 % (3292303)------------------------------
% 28.05/5.55 % (3292303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292303)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292303)Termination reason: Instruction limit
% 28.05/5.55 % (3292303)Termination phase: Saturation
% 28.05/5.55 % (3292303)Time elapsed: 0.421 s
% 28.05/5.55 % (3292303)Peak memory usage: 92 MB
% 28.05/5.55 % (3292303)Instructions burned: 437 (million)
% 28.05/5.55 % (3292313)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=690348394:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 28.05/5.55 % (3292301)Instruction limit reached!
% 28.05/5.55 % (3292301)------------------------------
% 28.05/5.55 % (3292301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292301)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292301)Termination reason: Instruction limit
% 28.05/5.55 % (3292301)Termination phase: Saturation
% 28.05/5.55 % (3292301)Time elapsed: 0.880 s
% 28.05/5.55 % (3292301)Peak memory usage: 98 MB
% 28.05/5.55 % (3292301)Instructions burned: 908 (million)
% 28.05/5.55 % (3292313)Instruction limit reached!
% 28.05/5.55 % (3292313)------------------------------
% 28.05/5.55 % (3292313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292313)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292313)Termination reason: Instruction limit
% 28.05/5.55 % (3292313)Termination phase: Saturation
% 28.05/5.55 % (3292313)Time elapsed: 0.134 s
% 28.05/5.55 % (3292313)Peak memory usage: 90 MB
% 28.05/5.55 % (3292313)Instructions burned: 134 (million)
% 28.05/5.55 % (3292319)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3848252629:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 28.05/5.55 % (3292320)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=332247234:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 28.05/5.55 % (3292319)Instruction limit reached!
% 28.05/5.55 % (3292319)------------------------------
% 28.05/5.55 % (3292319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292319)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292319)Termination reason: Instruction limit
% 28.05/5.55 % (3292319)Termination phase: Saturation
% 28.05/5.55 % (3292319)Time elapsed: 0.609 s
% 28.05/5.55 % (3292319)Peak memory usage: 95 MB
% 28.05/5.55 % (3292319)Instructions burned: 592 (million)
% 28.05/5.55 % (3292325)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2402668575:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 28.05/5.55 % (3292325)Instruction limit reached!
% 28.05/5.55 % (3292325)------------------------------
% 28.05/5.55 % (3292325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292325)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292325)Termination reason: Instruction limit
% 28.05/5.55 % (3292325)Termination phase: Saturation
% 28.05/5.55 % (3292325)Time elapsed: 0.135 s
% 28.05/5.55 % (3292325)Peak memory usage: 91 MB
% 28.05/5.55 % (3292325)Instructions burned: 125 (million)
% 28.05/5.55 % (3292286)Instruction limit reached!
% 28.05/5.55 % (3292286)------------------------------
% 28.05/5.55 % (3292286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292286)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292286)Termination reason: Instruction limit
% 28.05/5.55 % (3292286)Termination phase: Saturation
% 28.05/5.55 % (3292286)Time elapsed: 2.663 s
% 28.05/5.55 % (3292286)Peak memory usage: 142 MB
% 28.05/5.55 % (3292286)Instructions burned: 2350 (million)
% 28.05/5.55 % (3292327)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2872956201:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 28.05/5.55 % (3292328)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2747723605:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/141Mi)
% 28.05/5.55 % (3292327)Instruction limit reached!
% 28.05/5.55 % (3292327)------------------------------
% 28.05/5.55 % (3292327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292327)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292327)Termination reason: Instruction limit
% 28.05/5.55 % (3292327)Termination phase: Saturation
% 28.05/5.55 % (3292327)Time elapsed: 0.134 s
% 28.05/5.55 % (3292327)Peak memory usage: 91 MB
% 28.05/5.55 % (3292327)Instructions burned: 134 (million)
% 28.05/5.55 % (3292328)Instruction limit reached!
% 28.05/5.55 % (3292328)------------------------------
% 28.05/5.55 % (3292328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.05/5.55 % (3292328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.05/5.55 % (3292328)CaDiCaL version: 2.1.3
% 28.05/5.55 % (3292328)Termination reason: Instruction limit
% 28.05/5.55 % (3292328)Termination phase: Saturation
% 28.05/5.55 % (3292328)Time elapsed: 0.151 s
% 28.05/5.55 % (3292328)Peak memory usage: 91 MB
% 28.05/5.55 % (3292328)Instructions burned: 141 (million)
% 28.05/5.55 % (3292224)First to succeed.
% 28.05/5.55 % (3292224)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3292123"
% 28.05/5.55 % (3292333)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1799383886:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2959 on theBenchmark for (2959ds/431Mi)
% 28.05/5.55 % (3292334)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=844527500:i=6060:aac=none:ins=25_2958 on theBenchmark for (2958ds/6060Mi)
% 28.05/5.55 % (3292224)Refutation found. Thanks to Tanya!
% 28.05/5.55 % SZS status Theorem for theBenchmark
% 28.05/5.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/5.80 % (3292224)------------------------------
% 0.15/5.80 % (3292224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/5.80 % (3292224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.80 % (3292224)CaDiCaL version: 2.1.3
% 0.15/5.80 % (3292224)Termination reason: Refutation
% 0.15/5.80 % (3292224)Time elapsed: 4.073 s
% 0.15/5.80 % (3292224)Peak memory usage: 154 MB
% 0.15/5.80 % (3292224)Instructions burned: 3565 (million)
% 0.15/5.80 % (3292224)------------------------------
% 0.15/5.80 % (3292224)------------------------------
% 0.15/5.80 % (3292123)Success in time 4.699 s
% 0.15/5.80 % Vampire exiting
%------------------------------------------------------------------------------