%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM589+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:15:53 PM UTC 2026
% Result : Theorem 11.27s 2.45s
% Output : Refutation 11.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 38
% Syntax : Number of formulae : 295 ( 46 unt; 23 def)
% Number of atoms : 1224 ( 161 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1660 ( 731 ~; 736 |; 138 &)
% ( 31 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 16 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 13 con; 0-3 aty)
% Number of variables : 313 ( 0 sgn 286 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isCountable0(X1) )
=> ! [X2] :
( ( aFunction0(X2)
& szDzozmdt0(X2) = slbdtsldtrb0(X1,X0)
& aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(X4,X0))
=> sdtlpdtrp0(X2,X5) = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f86,axiom,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(f87,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4182) ).
fof(f89,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f90,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f89]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f99,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f102,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f103,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f114,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(f115,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,[],[f114]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isCountable0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isCountable0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f121]) ).
fof(f145,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f157,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(f158,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f157]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) ) ) )
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) ) ) )
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f197]) ).
fof(f201,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f208,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f209,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f213,plain,
? [X0] :
( ! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(X2)
| ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) != X1
& aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f214,plain,
? [X0] :
( ! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(X2)
| ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) != X1
& aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f213]) ).
fof(f218,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(f219,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(f220,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f115,f219,f218]) ).
fof(f221,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f222,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f222]) ).
fof(f224,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))],[f223]) ).
fof(f225,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,[],[f104]) ).
fof(f226,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,[],[f225]) ).
fof(f227,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,[],[f226]) ).
fof(f228,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))],[f227]) ).
fof(f235,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,[],[f219]) ).
fof(f236,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,[],[f235]) ).
fof(f237,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,[],[f218]) ).
fof(f238,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,[],[f237]) ).
fof(f239,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,[],[f238]) ).
fof(f240,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))],[f239]) ).
fof(f246,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,[],[f158]) ).
fof(f247,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,[],[f246]) ).
fof(f248,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,[],[f247]) ).
fof(f249,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))],[f248]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( aElementOf0(sK23(X0,X1,X2),xT)
& aSubsetOf0(sK24(X0,X1,X2),X1)
& isCountable0(sK24(X0,X1,X2))
& ! [X5] :
( sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK24(X0,X1,X2),X0)) ) )
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X3,sK23(X0,X1,X2)),skolemize(X4,sK24(X0,X1,X2))],[f198]) ).
fof(f281,plain,
( ! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ isCountable0(X2)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,sK25),sK26(X1,X2)) != X1
& aSet0(sK26(X1,X2))
& aElementOf0(sK26(X1,X2),slbdtsldtrb0(X2,xk)) ) ) )
& aElementOf0(sK25,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X3,sK26(X1,X2))],[f214]) ).
fof(f282,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f284,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f224]) ).
fof(f288,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f289,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f290,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f291,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f292,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f309,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f312,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f320,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f324,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f328,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f345,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f357,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f249]) ).
fof(f433,plain,
! [X2,X0,X1,X5] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK24(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f434,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| isCountable0(sK24(X0,X1,X2))
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f435,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| aSubsetOf0(sK24(X0,X1,X2),X1)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f436,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| aElementOf0(sK23(X0,X1,X2),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f439,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f440,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f446,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f447,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f452,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f453,plain,
! [X0] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f456,plain,
! [X0] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f458,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f281]) ).
fof(f459,plain,
! [X2,X1] :
( ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ isCountable0(X2)
| aElementOf0(sK26(X1,X2),slbdtsldtrb0(X2,xk)) ),
inference(cnf_transformation,[],[f281]) ).
fof(f461,plain,
! [X2,X1] :
( ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ isCountable0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,sK25),sK26(X1,X2)) != X1 ),
inference(cnf_transformation,[],[f281]) ).
fof(f462,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f284]) ).
fof(f464,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f288]) ).
fof(f467,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f309]) ).
fof(f470,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f357]) ).
fof(f499,definition,
sF27 = sdtlpdtrp0(xN,sK25),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f500,plain,
sdtlpdtrp0(xN,sK25) = sF27,
inference(reorient_equations,[],[f499]) ).
fof(f501,definition,
sF28 = szmzizndt0(sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f502,plain,
szmzizndt0(sF27) = sF28,
inference(reorient_equations,[],[f501]) ).
fof(f503,definition,
sF29 = sdtmndt0(sF27,sF28),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f504,plain,
sdtmndt0(sF27,sF28) = sF29,
inference(reorient_equations,[],[f503]) ).
fof(f505,definition,
sF30 = sdtlpdtrp0(xC,sK25),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f506,plain,
sdtlpdtrp0(xC,sK25) = sF30,
inference(reorient_equations,[],[f505]) ).
fof(f507,definition,
! [X2,X1] : sF31(X1,X2) = sdtlpdtrp0(sF30,sK26(X1,X2)),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f508,plain,
! [X2,X1] : sdtlpdtrp0(sF30,sK26(X1,X2)) = sF31(X1,X2),
inference(reorient_equations,[],[f507]) ).
fof(f509,plain,
! [X2,X1] :
( sF31(X1,X2) != X1
| ~ aSubsetOf0(X2,sF29)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(definition_folding,[],[f461,f508,f506,f504,f502,f500,f500]) ).
fof(f511,definition,
! [X2] : sF32(X2) = slbdtsldtrb0(X2,xk),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f512,plain,
! [X2] : slbdtsldtrb0(X2,xk) = sF32(X2),
inference(reorient_equations,[],[f511]) ).
fof(f513,plain,
! [X2,X1] :
( aElementOf0(sK26(X1,X2),sF32(X2))
| ~ aSubsetOf0(X2,sF29)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(definition_folding,[],[f459,f512,f504,f502,f500,f500]) ).
fof(f518,definition,
( spl33_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f527,definition,
( spl33_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f529,plain,
( ~ isCountable0(slcrc0)
| spl33_3 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,plain,
( ~ spl33_3
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f464,f518,f527]) ).
fof(f531,plain,
spl33_1,
inference(avatar_split_clause,[],[f462,f518]) ).
fof(f534,plain,
( aFunction0(sF30)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f453,f506]) ).
fof(f535,plain,
aFunction0(sF30),
inference(forward_subsumption_resolution,[],[f534,f458]) ).
fof(f536,plain,
( isCountable0(sF27)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f446,f500]) ).
fof(f537,plain,
isCountable0(sF27),
inference(forward_subsumption_resolution,[],[f536,f458]) ).
fof(f538,plain,
( aElementOf0(sF28,sF27)
| ~ aSubsetOf0(sF27,szNzAzT0)
| slcrc0 = sF27 ),
inference(superposition,[],[f470,f502]) ).
fof(f540,definition,
( spl33_4
<=> slcrc0 = sF27 ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f542,plain,
( slcrc0 = sF27
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f544,definition,
( spl33_5
<=> aSubsetOf0(sF27,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f545,plain,
( aSubsetOf0(sF27,szNzAzT0)
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( ~ aSubsetOf0(sF27,szNzAzT0)
| spl33_5 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl33_6
<=> aElementOf0(sF28,sF27) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f550,plain,
( aElementOf0(sF28,sF27)
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f551,plain,
( spl33_4
| ~ spl33_5
| spl33_6 ),
inference(avatar_split_clause,[],[f538,f548,f544,f540]) ).
fof(f552,plain,
( aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f456,f506]) ).
fof(f553,plain,
aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT),
inference(forward_subsumption_resolution,[],[f552,f458]) ).
fof(f566,plain,
szDzozmdt0(sdtlpdtrp0(xC,sK25)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk),
inference(resolution,[],[f452,f458]) ).
fof(f569,plain,
szDzozmdt0(sdtlpdtrp0(xC,sK25)) = sF32(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))),
inference(forward_demodulation,[],[f566,f512]) ).
fof(f583,plain,
szDzozmdt0(sdtlpdtrp0(xC,sK25)) = sF32(sdtmndt0(sF27,szmzizndt0(sF27))),
inference(forward_demodulation,[],[f569,f500]) ).
fof(f584,plain,
szDzozmdt0(sdtlpdtrp0(xC,sK25)) = sF32(sdtmndt0(sF27,sF28)),
inference(forward_demodulation,[],[f583,f502]) ).
fof(f585,plain,
szDzozmdt0(sdtlpdtrp0(xC,sK25)) = sF32(sF29),
inference(forward_demodulation,[],[f584,f504]) ).
fof(f586,plain,
szDzozmdt0(sF30) = sF32(sF29),
inference(forward_demodulation,[],[f585,f506]) ).
fof(f587,plain,
( aSubsetOf0(sF27,szNzAzT0)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f447,f500]) ).
fof(f588,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl33_5 ),
inference(forward_subsumption_resolution,[],[f587,f546]) ).
fof(f589,plain,
( $false
| spl33_5 ),
inference(forward_subsumption_resolution,[],[f588,f458]) ).
fof(f590,plain,
spl33_5,
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f611,plain,
( isCountable0(slcrc0)
| ~ spl33_4 ),
inference(superposition,[],[f537,f542]) ).
fof(f614,plain,
( $false
| spl33_3
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f611,f529]) ).
fof(f615,plain,
( spl33_3
| ~ spl33_4 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f631,definition,
( spl33_13
<=> sP3(sF28,sF27) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f632,plain,
( sP3(sF28,sF27)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( ~ sP3(sF28,sF27)
| spl33_13 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f715,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl33_5 ),
inference(resolution,[],[f289,f545]) ).
fof(f716,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,szNzAzT0) )
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f715,f328]) ).
fof(f718,definition,
( spl33_23
<=> aSet0(sF29) ),
introduced(definition,[new_symbols(definition,[spl33_23])],[avatar_definition]) ).
fof(f719,plain,
( aSet0(sF29)
| ~ spl33_23 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f720,plain,
( ~ aSet0(sF29)
| spl33_23 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f726,definition,
( spl33_25
<=> aSet0(sF27) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f727,plain,
( aSet0(sF27)
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f728,plain,
( ~ aSet0(sF27)
| spl33_25 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f761,plain,
( isCountable0(sF29)
| ~ aSet0(sF27)
| ~ isCountable0(sF27)
| ~ aElement0(sF28) ),
inference(superposition,[],[f324,f504]) ).
fof(f765,definition,
( spl33_28
<=> aElement0(sF28) ),
introduced(definition,[new_symbols(definition,[spl33_28])],[avatar_definition]) ).
fof(f766,plain,
( aElement0(sF28)
| ~ spl33_28 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f767,plain,
( ~ aElement0(sF28)
| spl33_28 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f773,definition,
( spl33_30
<=> isCountable0(sF29) ),
introduced(definition,[new_symbols(definition,[spl33_30])],[avatar_definition]) ).
fof(f774,plain,
( ~ isCountable0(sF29)
| spl33_30 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( isCountable0(sF29)
| ~ spl33_30 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f786,plain,
( aSet0(sF27)
| ~ aSet0(szNzAzT0)
| ~ spl33_5 ),
inference(resolution,[],[f290,f545]) ).
fof(f787,plain,
( ~ aSet0(szNzAzT0)
| ~ spl33_5
| spl33_25 ),
inference(forward_subsumption_resolution,[],[f786,f728]) ).
fof(f792,plain,
( $false
| ~ spl33_5
| spl33_25 ),
inference(forward_subsumption_resolution,[],[f787,f328]) ).
fof(f793,plain,
( ~ spl33_5
| spl33_25 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f874,plain,
! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ iLess0(xk,xK)
| ~ aFunction0(X1)
| isCountable0(sK24(xk,X0,X1))
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f434,f512]) ).
fof(f875,plain,
! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ iLess0(xk,xK)
| ~ aFunction0(X1)
| isCountable0(sK24(xk,X0,X1))
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0) ),
inference(forward_subsumption_resolution,[],[f874,f440]) ).
fof(f877,definition,
( spl33_36
<=> iLess0(xk,xK) ),
introduced(definition,[new_symbols(definition,[spl33_36])],[avatar_definition]) ).
fof(f878,plain,
( iLess0(xk,xK)
| ~ spl33_36 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f879,plain,
( ~ iLess0(xk,xK)
| spl33_36 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f881,definition,
( spl33_37
<=> ! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| isCountable0(sK24(xk,X0,X1))
| ~ aFunction0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl33_37])],[avatar_definition]) ).
fof(f882,plain,
( ! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| isCountable0(sK24(xk,X0,X1))
| ~ aFunction0(X1) )
| ~ spl33_37 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f883,plain,
( ~ spl33_36
| spl33_37 ),
inference(avatar_split_clause,[],[f875,f881,f877]) ).
fof(f899,plain,
! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ iLess0(xk,xK)
| ~ aFunction0(X1)
| aElementOf0(sK23(xk,X0,X1),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f436,f512]) ).
fof(f929,plain,
( aElement0(sF28)
| ~ aSet0(sF27)
| ~ spl33_6 ),
inference(resolution,[],[f282,f550]) ).
fof(f932,plain,
( ~ aSet0(sF27)
| ~ spl33_6
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f929,f767]) ).
fof(f935,plain,
( $false
| ~ spl33_6
| ~ spl33_25
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f932,f727]) ).
fof(f936,plain,
( ~ spl33_6
| ~ spl33_25
| spl33_28 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f939,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f315,f467]) ).
fof(f991,plain,
! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ iLess0(xk,xK)
| ~ aFunction0(X1)
| aSubsetOf0(sK24(xk,X0,X1),X0)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f435,f512]) ).
fof(f992,plain,
! [X2,X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(sK24(xk,X0,X1),xk))
| ~ iLess0(xk,xK)
| ~ aFunction0(X1)
| sK23(xk,X0,X1) = sdtlpdtrp0(X1,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f433,f512]) ).
fof(f1285,plain,
( ~ aSet0(sF27)
| ~ aElement0(sF28)
| spl33_13 ),
inference(resolution,[],[f320,f633]) ).
fof(f1286,plain,
( ~ aElement0(sF28)
| spl33_13
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f1285,f727]) ).
fof(f1287,plain,
( $false
| spl33_13
| ~ spl33_25
| ~ spl33_28 ),
inference(forward_subsumption_resolution,[],[f1286,f766]) ).
fof(f1288,plain,
( spl33_13
| ~ spl33_25
| ~ spl33_28 ),
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1749,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f312,f467]) ).
fof(f1753,plain,
! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2)),X1)
| ~ sP3(X2,X1)
| ~ aSet0(sdtmndt0(X1,X2))
| aSubsetOf0(sdtmndt0(X1,X2),X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f1749,f291]) ).
fof(f1757,plain,
! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2)),X1)
| ~ sP3(X2,X1)
| aSubsetOf0(sdtmndt0(X1,X2),X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f1753,f939]) ).
fof(f1773,definition,
( spl33_85
<=> aSubsetOf0(sF29,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl33_85])],[avatar_definition]) ).
fof(f1774,plain,
( aSubsetOf0(sF29,szNzAzT0)
| ~ spl33_85 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f1775,plain,
( ~ aSubsetOf0(sF29,szNzAzT0)
| spl33_85 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f1861,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(X1,X0))
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(X1) ),
inference(resolution,[],[f1757,f292]) ).
fof(f1884,plain,
! [X0] :
( aElementOf0(sK5(X0,sF29),sF27)
| ~ sP3(sF28,sF27)
| aSubsetOf0(sF29,X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f1757,f504]) ).
fof(f1886,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(X1,X0)) ),
inference(duplicate_literal_removal,[],[f1861]) ).
fof(f1891,plain,
! [X0,X1] :
( aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ sP3(X0,X1)
| ~ aSet0(X1) ),
inference(forward_subsumption_resolution,[],[f1886,f939]) ).
fof(f1902,plain,
( aSubsetOf0(sF29,sF27)
| ~ sP3(sF28,sF27)
| ~ aSet0(sF27) ),
inference(superposition,[],[f1891,f504]) ).
fof(f1910,plain,
( aSubsetOf0(sF29,sF27)
| ~ sP3(sF28,sF27)
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f1902,f727]) ).
fof(f2450,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF29),sF27)
| aSubsetOf0(sF29,X0)
| ~ aSet0(X0) )
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f1884,f632]) ).
fof(f2451,plain,
( aSubsetOf0(sF29,sF27)
| ~ spl33_13
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f1910,f632]) ).
fof(f2559,plain,
( aSet0(sF29)
| ~ aSet0(sF27)
| ~ spl33_13
| ~ spl33_25 ),
inference(resolution,[],[f2451,f290]) ).
fof(f2653,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF29),szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(sF29,X0) )
| ~ spl33_5
| ~ spl33_13 ),
inference(resolution,[],[f2450,f716]) ).
fof(f4402,plain,
( ~ aSet0(szNzAzT0)
| aSubsetOf0(sF29,szNzAzT0)
| ~ aSet0(sF29)
| aSubsetOf0(sF29,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl33_5
| ~ spl33_13 ),
inference(resolution,[],[f2653,f292]) ).
fof(f4411,plain,
( ~ aSet0(szNzAzT0)
| aSubsetOf0(sF29,szNzAzT0)
| ~ aSet0(sF29)
| ~ spl33_5
| ~ spl33_13 ),
inference(duplicate_literal_removal,[],[f4402]) ).
fof(f4414,plain,
( aSubsetOf0(sF29,szNzAzT0)
| ~ aSet0(sF29)
| ~ spl33_5
| ~ spl33_13 ),
inference(forward_subsumption_resolution,[],[f4411,f328]) ).
fof(f4415,plain,
( ~ aSet0(sF29)
| ~ spl33_5
| ~ spl33_13
| spl33_85 ),
inference(forward_subsumption_resolution,[],[f4414,f1775]) ).
fof(f4416,plain,
( $false
| ~ spl33_5
| ~ spl33_13
| ~ spl33_23
| spl33_85 ),
inference(forward_subsumption_resolution,[],[f4415,f719]) ).
fof(f4417,plain,
( ~ spl33_5
| ~ spl33_13
| ~ spl33_23
| spl33_85 ),
inference(avatar_contradiction_clause,[],[f4416]) ).
fof(f4434,plain,
( ~ aSet0(sF27)
| ~ spl33_13
| spl33_23
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f2559,f720]) ).
fof(f4448,plain,
( $false
| ~ spl33_13
| spl33_23
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f4434,f727]) ).
fof(f4449,plain,
( ~ spl33_13
| spl33_23
| ~ spl33_25 ),
inference(avatar_contradiction_clause,[],[f4448]) ).
fof(f4903,plain,
( iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f345,f439]) ).
fof(f4904,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl33_36 ),
inference(forward_subsumption_resolution,[],[f4903,f879]) ).
fof(f4907,plain,
( $false
| spl33_36 ),
inference(forward_subsumption_resolution,[],[f4904,f440]) ).
fof(f4908,plain,
spl33_36,
inference(avatar_contradiction_clause,[],[f4907]) ).
fof(f4910,plain,
( ! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aFunction0(X1)
| aElementOf0(sK23(xk,X0,X1),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f899,f878]) ).
fof(f4911,plain,
( ! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aFunction0(X1)
| aSubsetOf0(sK24(xk,X0,X1),X0)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f991,f878]) ).
fof(f4912,plain,
( ! [X2,X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(sK24(xk,X0,X1),xk))
| ~ aFunction0(X1)
| sK23(xk,X0,X1) = sdtlpdtrp0(X1,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f992,f878]) ).
fof(f4913,plain,
( ! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aFunction0(X1)
| aElementOf0(sK23(xk,X0,X1),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0) )
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f4910,f440]) ).
fof(f4914,plain,
( ! [X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aFunction0(X1)
| aSubsetOf0(sK24(xk,X0,X1),X0)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0) )
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f4911,f440]) ).
fof(f4915,plain,
( ! [X2,X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(sK24(xk,X0,X1),xk))
| ~ aFunction0(X1)
| sK23(xk,X0,X1) = sdtlpdtrp0(X1,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0) )
| ~ spl33_36 ),
inference(forward_subsumption_resolution,[],[f4912,f440]) ).
fof(f4916,plain,
( ! [X2,X0,X1] :
( sF32(X0) != szDzozmdt0(X1)
| ~ aElementOf0(X2,sF32(sK24(xk,X0,X1)))
| ~ aFunction0(X1)
| sK23(xk,X0,X1) = sdtlpdtrp0(X1,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X1,szDzozmdt0(X1)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0) )
| ~ spl33_36 ),
inference(forward_demodulation,[],[f4915,f512]) ).
fof(f4917,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ isCountable0(sF29)
| ~ aSubsetOf0(sF29,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| isCountable0(sK24(xk,sF29,X0))
| ~ aFunction0(X0) )
| ~ spl33_37 ),
inference(superposition,[],[f882,f586]) ).
fof(f4931,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aSubsetOf0(sF29,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| isCountable0(sK24(xk,sF29,X0))
| ~ aFunction0(X0) )
| ~ spl33_30
| ~ spl33_37 ),
inference(forward_subsumption_resolution,[],[f4917,f775]) ).
fof(f4948,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| isCountable0(sK24(xk,sF29,X0))
| ~ aFunction0(X0) )
| ~ spl33_30
| ~ spl33_37
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f4931,f1774]) ).
fof(f4954,plain,
( ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT)
| isCountable0(sK24(xk,sF29,sF30))
| ~ aFunction0(sF30)
| ~ spl33_30
| ~ spl33_37
| ~ spl33_85 ),
inference(equality_resolution,[],[f4948]) ).
fof(f4955,plain,
( isCountable0(sK24(xk,sF29,sF30))
| ~ aFunction0(sF30)
| ~ spl33_30
| ~ spl33_37
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f4954,f553]) ).
fof(f4958,plain,
( isCountable0(sK24(xk,sF29,sF30))
| ~ spl33_30
| ~ spl33_37
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f4955,f535]) ).
fof(f4991,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,sF29,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(sF29,szNzAzT0)
| ~ isCountable0(sF29) )
| ~ spl33_36 ),
inference(superposition,[],[f4913,f586]) ).
fof(f4995,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,sF29,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ isCountable0(sF29) )
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f4991,f1774]) ).
fof(f4997,plain,
( ! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aElementOf0(X1,sF32(sK24(xk,sF29,X0)))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,sF29,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(sF29,szNzAzT0)
| ~ isCountable0(sF29) )
| ~ spl33_36 ),
inference(superposition,[],[f4916,f586]) ).
fof(f5001,plain,
( ! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aElementOf0(X1,sF32(sK24(xk,sF29,X0)))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,sF29,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ isCountable0(sF29) )
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f4997,f1774]) ).
fof(f5002,plain,
( ! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aElementOf0(X1,sF32(sK24(xk,sF29,X0)))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,sF29,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5001,f775]) ).
fof(f5003,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,sF29,X0),sF29)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(sF29,szNzAzT0)
| ~ isCountable0(sF29) )
| ~ spl33_36 ),
inference(superposition,[],[f4914,f586]) ).
fof(f5007,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,sF29,X0),sF29)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ isCountable0(sF29) )
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5003,f1774]) ).
fof(f5008,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,sF29,X0),sF29)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5007,f775]) ).
fof(f5017,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF32(sK24(xk,sF29,sF30)))
| ~ aFunction0(sF30)
| sdtlpdtrp0(sF30,X0) = sK23(xk,sF29,sF30)
| ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(equality_resolution,[],[f5002]) ).
fof(f5018,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF32(sK24(xk,sF29,sF30)))
| sdtlpdtrp0(sF30,X0) = sK23(xk,sF29,sF30)
| ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5017,f535]) ).
fof(f5019,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF32(sK24(xk,sF29,sF30)))
| sdtlpdtrp0(sF30,X0) = sK23(xk,sF29,sF30) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5018,f553]) ).
fof(f5024,plain,
( ! [X0] :
( sK23(xk,sF29,sF30) = sdtlpdtrp0(sF30,sK26(X0,sK24(xk,sF29,sF30)))
| ~ aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ isCountable0(sK24(xk,sF29,sF30))
| ~ aElementOf0(X0,xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(resolution,[],[f5019,f513]) ).
fof(f5025,plain,
( ! [X0] :
( sK23(xk,sF29,sF30) = sdtlpdtrp0(sF30,sK26(X0,sK24(xk,sF29,sF30)))
| ~ aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ aElementOf0(X0,xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5024,f4958]) ).
fof(f5047,plain,
( ! [X0] :
( sK23(xk,sF29,sF30) = sF31(X0,sK24(xk,sF29,sF30))
| ~ aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ aElementOf0(X0,xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85 ),
inference(forward_demodulation,[],[f5025,f508]) ).
fof(f5049,definition,
( spl33_320
<=> aSubsetOf0(sK24(xk,sF29,sF30),sF29) ),
introduced(definition,[new_symbols(definition,[spl33_320])],[avatar_definition]) ).
fof(f5050,plain,
( aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ spl33_320 ),
inference(avatar_component_clause,[],[f5049]) ).
fof(f5051,plain,
( ~ aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| spl33_320 ),
inference(avatar_component_clause,[],[f5049]) ).
fof(f5053,definition,
( spl33_321
<=> ! [X0] :
( sK23(xk,sF29,sF30) = sF31(X0,sK24(xk,sF29,sF30))
| ~ aElementOf0(X0,xT) ) ),
introduced(definition,[new_symbols(definition,[spl33_321])],[avatar_definition]) ).
fof(f5054,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| sK23(xk,sF29,sF30) = sF31(X0,sK24(xk,sF29,sF30)) )
| ~ spl33_321 ),
inference(avatar_component_clause,[],[f5053]) ).
fof(f5060,plain,
( ~ aFunction0(sF30)
| aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(equality_resolution,[],[f5008]) ).
fof(f5061,plain,
( aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5060,f535]) ).
fof(f5062,plain,
( ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| spl33_320 ),
inference(forward_subsumption_resolution,[],[f5061,f5051]) ).
fof(f5063,plain,
( $false
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| spl33_320 ),
inference(forward_subsumption_resolution,[],[f5062,f553]) ).
fof(f5064,plain,
( ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| spl33_320 ),
inference(avatar_contradiction_clause,[],[f5063]) ).
fof(f5065,plain,
( ~ aSet0(sF27)
| ~ isCountable0(sF27)
| ~ aElement0(sF28)
| spl33_30 ),
inference(forward_subsumption_resolution,[],[f761,f774]) ).
fof(f5074,plain,
( ~ isCountable0(sF27)
| ~ aElement0(sF28)
| ~ spl33_25
| spl33_30 ),
inference(forward_subsumption_resolution,[],[f5065,f727]) ).
fof(f5098,plain,
( ~ aElement0(sF28)
| ~ spl33_25
| spl33_30 ),
inference(forward_subsumption_resolution,[],[f5074,f537]) ).
fof(f5118,plain,
( $false
| ~ spl33_25
| ~ spl33_28
| spl33_30 ),
inference(forward_subsumption_resolution,[],[f5098,f766]) ).
fof(f5119,plain,
( ~ spl33_25
| ~ spl33_28
| spl33_30 ),
inference(avatar_contradiction_clause,[],[f5118]) ).
fof(f5120,plain,
( ~ spl33_320
| spl33_321
| ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85 ),
inference(avatar_split_clause,[],[f5047,f1773,f881,f877,f773,f5053,f5049]) ).
fof(f5123,plain,
( ! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(sF30)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,sF29,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) )
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f4995,f775]) ).
fof(f5226,plain,
( ~ aFunction0(sF30)
| aElementOf0(sK23(xk,sF29,sF30),xT)
| ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(equality_resolution,[],[f5123]) ).
fof(f5227,plain,
( aElementOf0(sK23(xk,sF29,sF30),xT)
| ~ aSubsetOf0(sdtlcdtrc0(sF30,szDzozmdt0(sF30)),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5226,f535]) ).
fof(f5228,plain,
( aElementOf0(sK23(xk,sF29,sF30),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85 ),
inference(forward_subsumption_resolution,[],[f5227,f553]) ).
fof(f5233,plain,
( sK23(xk,sF29,sF30) = sF31(sK23(xk,sF29,sF30),sK24(xk,sF29,sF30))
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| ~ spl33_321 ),
inference(resolution,[],[f5228,f5054]) ).
fof(f5242,plain,
( sK23(xk,sF29,sF30) != sK23(xk,sF29,sF30)
| ~ aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ isCountable0(sK24(xk,sF29,sF30))
| ~ aElementOf0(sK23(xk,sF29,sF30),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| ~ spl33_321 ),
inference(superposition,[],[f509,f5233]) ).
fof(f5243,plain,
( ~ aSubsetOf0(sK24(xk,sF29,sF30),sF29)
| ~ isCountable0(sK24(xk,sF29,sF30))
| ~ aElementOf0(sK23(xk,sF29,sF30),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| ~ spl33_321 ),
inference(trivial_inequality_removal,[],[f5242]) ).
fof(f5244,plain,
( ~ isCountable0(sK24(xk,sF29,sF30))
| ~ aElementOf0(sK23(xk,sF29,sF30),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| ~ spl33_320
| ~ spl33_321 ),
inference(forward_subsumption_resolution,[],[f5243,f5050]) ).
fof(f5254,plain,
( ~ aElementOf0(sK23(xk,sF29,sF30),xT)
| ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85
| ~ spl33_320
| ~ spl33_321 ),
inference(forward_subsumption_resolution,[],[f5244,f4958]) ).
fof(f5255,plain,
( $false
| ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85
| ~ spl33_320
| ~ spl33_321 ),
inference(forward_subsumption_resolution,[],[f5254,f5228]) ).
fof(f5256,plain,
( ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85
| ~ spl33_320
| ~ spl33_321 ),
inference(avatar_contradiction_clause,[],[f5255]) ).
cnf(s2,plain,
( ~ spl33_1
| ~ spl33_3 ),
inference(sat_conversion,[],[f530]) ).
cnf(s3,plain,
spl33_1,
inference(sat_conversion,[],[f531]) ).
cnf(s4,plain,
( spl33_4
| ~ spl33_5
| spl33_6 ),
inference(sat_conversion,[],[f551]) ).
cnf(s6,plain,
spl33_5,
inference(sat_conversion,[],[f590]) ).
cnf(s8,plain,
( spl33_3
| ~ spl33_4 ),
inference(sat_conversion,[],[f615]) ).
cnf(s20,plain,
( ~ spl33_5
| spl33_25 ),
inference(sat_conversion,[],[f793]) ).
cnf(s28,plain,
( ~ spl33_36
| spl33_37 ),
inference(sat_conversion,[],[f883]) ).
cnf(s30,plain,
( ~ spl33_6
| ~ spl33_25
| spl33_28 ),
inference(sat_conversion,[],[f936]) ).
cnf(s47,plain,
( spl33_13
| ~ spl33_25
| ~ spl33_28 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s251,plain,
( ~ spl33_5
| ~ spl33_13
| ~ spl33_23
| spl33_85 ),
inference(sat_conversion,[],[f4417]) ).
cnf(s257,plain,
( ~ spl33_13
| spl33_23
| ~ spl33_25 ),
inference(sat_conversion,[],[f4449]) ).
cnf(s281,plain,
spl33_36,
inference(sat_conversion,[],[f4908]) ).
cnf(s293,plain,
( ~ spl33_30
| ~ spl33_36
| ~ spl33_85
| spl33_320 ),
inference(sat_conversion,[],[f5064]) ).
cnf(s301,plain,
( ~ spl33_25
| ~ spl33_28
| spl33_30 ),
inference(sat_conversion,[],[f5119]) ).
cnf(s302,plain,
( ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85
| ~ spl33_320
| spl33_321 ),
inference(sat_conversion,[],[f5120]) ).
cnf(s308,plain,
( ~ spl33_30
| ~ spl33_36
| ~ spl33_37
| ~ spl33_85
| ~ spl33_320
| ~ spl33_321 ),
inference(sat_conversion,[],[f5256]) ).
cnf(s341,plain,
spl33_37,
inference(rat,[],[s28,s281]) ).
cnf(s345,plain,
spl33_25,
inference(rat,[],[s20,s6]) ).
cnf(s348,plain,
( spl33_4
| spl33_6 ),
inference(rat,[],[s4,s6]) ).
cnf(s350,plain,
~ spl33_3,
inference(rat,[],[s2,s3]) ).
cnf(s352,plain,
~ spl33_4,
inference(rat,[],[s8,s350]) ).
cnf(s356,plain,
spl33_6,
inference(rat,[],[s348,s352]) ).
cnf(s359,plain,
spl33_28,
inference(rat,[],[s30,s345,s356]) ).
cnf(s361,plain,
spl33_30,
inference(rat,[],[s301,s345,s359]) ).
cnf(s362,plain,
spl33_13,
inference(rat,[],[s47,s345,s359]) ).
cnf(s364,plain,
spl33_23,
inference(rat,[],[s257,s345,s362]) ).
cnf(s376,plain,
spl33_85,
inference(rat,[],[s251,s362,s6,s364]) ).
cnf(s380,plain,
spl33_320,
inference(rat,[],[s293,s361,s281,s376]) ).
cnf(s382,plain,
~ spl33_321,
inference(rat,[],[s308,s376,s361,s341,s281,s380]) ).
cnf(s383,plain,
$false,
inference(rat,[],[s302,s376,s361,s341,s281,s382,s380]) ).
fof(f5257,plain,
$false,
inference(avatar_sat_refutation,[],[s383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM589+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.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 20:38:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.27/2.45 % (1291010)Detected formulas, will run a generic FOF schedule.
% 11.27/2.45 % (1291017)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=2308528846:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.27/2.45 % (1291015)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=3569927405:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.27/2.45 % (1291018)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4158341250:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.27/2.45 % (1291021)dis-21_1_sil=8000:lcm=predicate:random_seed=1188984083: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)
% 11.27/2.45 % (1291016)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=2464389301:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.27/2.45 % (1291019)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4086925618:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.27/2.45 % (1291020)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2149870512:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.27/2.45 % (1291018)Instruction limit reached!
% 11.27/2.45 % (1291018)------------------------------
% 11.27/2.45 % (1291018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291018)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291018)Termination reason: Instruction limit
% 11.27/2.45 % (1291018)Termination phase: Saturation
% 11.27/2.45 % (1291018)Time elapsed: 0.067 s
% 11.27/2.45 % (1291018)Peak memory usage: 89 MB
% 11.27/2.45 % (1291018)Instructions burned: 110 (million)
% 11.27/2.45 % (1291019)Instruction limit reached!
% 11.27/2.45 % (1291019)------------------------------
% 11.27/2.45 % (1291019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291019)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291019)Termination reason: Instruction limit
% 11.27/2.45 % (1291019)Termination phase: Saturation
% 11.27/2.45 % (1291019)Time elapsed: 0.071 s
% 11.27/2.45 % (1291019)Peak memory usage: 88 MB
% 11.27/2.45 % (1291019)Instructions burned: 120 (million)
% 11.27/2.45 % (1291021)Instruction limit reached!
% 11.27/2.45 % (1291021)------------------------------
% 11.27/2.45 % (1291021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291021)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291021)Termination reason: Instruction limit
% 11.27/2.45 % (1291021)Termination phase: Saturation
% 11.27/2.45 % (1291021)Time elapsed: 0.081 s
% 11.27/2.45 % (1291021)Peak memory usage: 90 MB
% 11.27/2.45 % (1291021)Instructions burned: 129 (million)
% 11.27/2.45 % (1291020)Instruction limit reached!
% 11.27/2.45 % (1291020)------------------------------
% 11.27/2.45 % (1291020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291020)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291020)Termination reason: Instruction limit
% 11.27/2.45 % (1291020)Termination phase: Saturation
% 11.27/2.45 % (1291020)Time elapsed: 0.101 s
% 11.27/2.45 % (1291020)Peak memory usage: 90 MB
% 11.27/2.45 % (1291020)Instructions burned: 140 (million)
% 11.27/2.45 % (1291029)lrs+10_1_sil=8000:sp=occurrence:random_seed=1293672085:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.27/2.45 % (1291030)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2760331807:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.27/2.45 % (1291031)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1631391174:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.27/2.45 % (1291032)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=667322415:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.27/2.45 % (1291030)Instruction limit reached!
% 11.27/2.45 % (1291030)------------------------------
% 11.27/2.45 % (1291030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291030)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291030)Termination reason: Instruction limit
% 11.27/2.45 % (1291030)Termination phase: Saturation
% 11.27/2.45 % (1291030)Time elapsed: 0.091 s
% 11.27/2.45 % (1291030)Peak memory usage: 89 MB
% 11.27/2.45 % (1291030)Instructions burned: 158 (million)
% 11.27/2.45 % (1291032)Instruction limit reached!
% 11.27/2.45 % (1291032)------------------------------
% 11.27/2.45 % (1291032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291029)Instruction limit reached!
% 11.27/2.45 % (1291029)------------------------------
% 11.27/2.45 % (1291029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291032)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291032)Termination reason: Instruction limit
% 11.27/2.45 % (1291032)Termination phase: Saturation
% 11.27/2.45 % (1291029)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291029)Termination reason: Instruction limit
% 11.27/2.45 % (1291029)Termination phase: Saturation
% 11.27/2.45 % (1291029)Time elapsed: 0.185 s
% 11.27/2.45 % (1291029)Peak memory usage: 92 MB
% 11.27/2.45 % (1291032)Time elapsed: 0.141 s
% 11.27/2.45 % (1291029)Instructions burned: 285 (million)
% 11.27/2.45 % (1291032)Peak memory usage: 92 MB
% 11.27/2.45 % (1291032)Instructions burned: 249 (million)
% 11.27/2.45 % (1291037)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1517549656:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.27/2.45 % (1291031)Instruction limit reached!
% 11.27/2.45 % (1291031)------------------------------
% 11.27/2.45 % (1291031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291031)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291031)Termination reason: Instruction limit
% 11.27/2.45 % (1291031)Termination phase: Saturation
% 11.27/2.45 % (1291031)Time elapsed: 0.226 s
% 11.27/2.45 % (1291031)Peak memory usage: 92 MB
% 11.27/2.45 % (1291031)Instructions burned: 325 (million)
% 11.27/2.45 % (1291039)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2847843759:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.27/2.45 % (1291038)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3730239200:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.27/2.45 % (1291039)Instruction limit reached!
% 11.27/2.45 % (1291039)------------------------------
% 11.27/2.45 % (1291039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291039)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291039)Termination reason: Instruction limit
% 11.27/2.45 % (1291039)Termination phase: Saturation
% 11.27/2.45 % (1291039)Time elapsed: 0.042 s
% 11.27/2.45 % (1291039)Peak memory usage: 91 MB
% 11.27/2.45 % (1291039)Instructions burned: 114 (million)
% 11.27/2.45 % (1291041)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2030478873:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.27/2.45 % (1291037)Instruction limit reached!
% 11.27/2.45 % (1291037)------------------------------
% 11.27/2.45 % (1291037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291037)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291037)Termination reason: Instruction limit
% 11.27/2.45 % (1291037)Termination phase: Saturation
% 11.27/2.45 % (1291037)Time elapsed: 0.187 s
% 11.27/2.45 % (1291037)Peak memory usage: 90 MB
% 11.27/2.45 % (1291037)Instructions burned: 294 (million)
% 11.27/2.45 % (1291044)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=707039212:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.27/2.45 % (1291041)Instruction limit reached!
% 11.27/2.45 % (1291041)------------------------------
% 11.27/2.45 % (1291041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291041)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291041)Termination reason: Instruction limit
% 11.27/2.45 % (1291041)Termination phase: Saturation
% 11.27/2.45 % (1291041)Time elapsed: 0.069 s
% 11.27/2.45 % (1291041)Peak memory usage: 89 MB
% 11.27/2.45 % (1291041)Instructions burned: 129 (million)
% 11.27/2.45 % (1291044)Instruction limit reached!
% 11.27/2.45 % (1291044)------------------------------
% 11.27/2.45 % (1291044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291044)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291044)Termination reason: Instruction limit
% 11.27/2.45 % (1291044)Termination phase: Saturation
% 11.27/2.45 % (1291044)Time elapsed: 0.037 s
% 11.27/2.45 % (1291044)Peak memory usage: 89 MB
% 11.27/2.45 % (1291044)Instructions burned: 115 (million)
% 11.27/2.45 % (1291046)lrs+10_1_sil=8000:sp=occurrence:random_seed=2471827888:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.27/2.45 % (1291049)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=201195886:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 11.27/2.45 % (1291048)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3211781216:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.27/2.45 % (1291048)Instruction limit reached!
% 11.27/2.45 % (1291048)------------------------------
% 11.27/2.45 % (1291048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291048)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291048)Termination reason: Instruction limit
% 11.27/2.45 % (1291048)Termination phase: Saturation
% 11.27/2.45 % (1291048)Time elapsed: 0.265 s
% 11.27/2.45 % (1291048)Peak memory usage: 91 MB
% 11.27/2.45 % (1291048)Instructions burned: 437 (million)
% 11.27/2.45 % (1291015)First to succeed.
% 11.27/2.45 % (1291015)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1291010"
% 11.27/2.45 % (1291053)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1481057445:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.27/2.45 % (1291053)Instruction limit reached!
% 11.27/2.45 % (1291053)------------------------------
% 11.27/2.45 % (1291053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291053)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291053)Termination reason: Instruction limit
% 11.27/2.45 % (1291053)Termination phase: Saturation
% 11.27/2.45 % (1291053)Time elapsed: 0.080 s
% 11.27/2.45 % (1291053)Peak memory usage: 90 MB
% 11.27/2.45 % (1291053)Instructions burned: 135 (million)
% 11.27/2.45 % (1291046)Instruction limit reached!
% 11.27/2.45 % (1291046)------------------------------
% 11.27/2.45 % (1291046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.45 % (1291046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.45 % (1291046)CaDiCaL version: 2.1.3
% 11.27/2.45 % (1291046)Termination reason: Instruction limit
% 11.27/2.45 % (1291046)Termination phase: Saturation
% 11.27/2.45 % (1291046)Time elapsed: 0.553 s
% 11.27/2.45 % (1291046)Peak memory usage: 98 MB
% 11.27/2.45 % (1291046)Instructions burned: 907 (million)
% 11.27/2.45 % (1291015)Refutation found. Thanks to Tanya!
% 11.27/2.45 % SZS status Theorem for theBenchmark
% 11.27/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 11.81/2.64 % (1291015)------------------------------
% 11.81/2.64 % (1291015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/2.64 % (1291015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.64 % (1291015)CaDiCaL version: 2.1.3
% 11.81/2.64 % (1291015)Termination reason: Refutation
% 11.81/2.64 % (1291015)Time elapsed: 1.154 s
% 11.81/2.64 % (1291015)Peak memory usage: 136 MB
% 11.81/2.64 % (1291015)Instructions burned: 1685 (million)
% 11.81/2.64 % (1291015)------------------------------
% 11.81/2.64 % (1291015)------------------------------
% 11.81/2.64 % (1291010)Success in time 1.591 s
% 11.81/2.64 % Vampire exiting
%------------------------------------------------------------------------------