%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM585+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 : n020.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 12:15:51 PM UTC 2026
% Result : Theorem 11.38s 2.44s
% Output : Refutation 11.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 37
% Syntax : Number of formulae : 258 ( 40 unt; 18 def)
% Number of atoms : 985 ( 159 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1216 ( 489 ~; 508 |; 160 &)
% ( 37 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 14 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 13 con; 0-3 aty)
% Number of variables : 300 ( 0 sgn 276 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f8,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
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(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/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f73,axiom,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f76,axiom,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
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(f85,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',m__3965) ).
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,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f88,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT) ),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f98,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f99,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f98]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f105,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f112,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(f113,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,[],[f112]) ).
fof(f155,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(f156,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f155]) ).
fof(f170,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(f171,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,[],[f170]) ).
fof(f182,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f199,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f204,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,[],[f85]) ).
fof(f205,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,[],[f204]) ).
fof(f206,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(f207,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,[],[f206]) ).
fof(f208,plain,
? [X0] :
( ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f212,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(f213,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(f214,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f113,f213,f212]) ).
fof(f219,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,[],[f102]) ).
fof(f220,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,[],[f219]) ).
fof(f221,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,[],[f220]) ).
fof(f222,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))],[f221]) ).
fof(f229,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,[],[f213]) ).
fof(f230,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,[],[f229]) ).
fof(f231,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,[],[f212]) ).
fof(f232,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,[],[f231]) ).
fof(f233,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,[],[f232]) ).
fof(f234,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))],[f233]) ).
fof(f240,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,[],[f156]) ).
fof(f241,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,[],[f240]) ).
fof(f242,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,[],[f241]) ).
fof(f243,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))],[f242]) ).
fof(f256,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,[],[f171]) ).
fof(f257,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,[],[f256]) ).
fof(f258,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,[],[f257]) ).
fof(f259,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))],[f258]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f188]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f265]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( aElementOf0(X5,X1)
& sdtlpdtrp0(X0,X5) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 ) )
& ( ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = X6 )
| ~ aElementOf0(X6,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f266]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != sK17(X0,X1,X2) )
| ~ aElementOf0(sK17(X0,X1,X2),X2) )
& ( ( aElementOf0(sK18(X0,X1,X2),X1)
& sK17(X0,X1,X2) = sdtlpdtrp0(X0,sK18(X0,X1,X2)) )
| aElementOf0(sK17(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 ) )
& ( ( aElementOf0(sK19(X0,X1,X6),X1)
& sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6 )
| ~ aElementOf0(X6,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X3,sK17(X0,X1,X2)),skolemize(X5,sK18(X0,X1,X2)),skolemize(X8,sK19(X0,X1,X6))],[f267]) ).
fof(f275,plain,
( ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,sK25),szDzozmdt0(sdtlpdtrp0(xC,sK25))),xT)
& aElementOf0(sK25,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f208]) ).
fof(f276,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f280,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f283,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f284,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f285,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f286,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f288,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f303,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f314,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f322,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f351,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f243]) ).
fof(f377,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f390,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f400,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f401,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK19(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f403,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f407,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f420,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f424,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f425,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f426,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f434,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f440,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f441,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f444,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1)
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f445,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f446,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f447,plain,
! [X0] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f450,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f275]) ).
fof(f451,plain,
~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,sK25),szDzozmdt0(sdtlpdtrp0(xC,sK25))),xT),
inference(cnf_transformation,[],[f275]) ).
fof(f457,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f303]) ).
fof(f460,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f351]) ).
fof(f472,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f377]) ).
fof(f479,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aSet0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f403]) ).
fof(f482,plain,
! [X0,X1,X6] :
( aElementOf0(sK19(X0,X1,X6),X1)
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f401]) ).
fof(f483,plain,
! [X0,X1,X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f400]) ).
fof(f489,definition,
sF26 = sdtlpdtrp0(xC,sK25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f490,plain,
sdtlpdtrp0(xC,sK25) = sF26,
inference(reorient_equations,[],[f489]) ).
fof(f491,definition,
sF27 = szDzozmdt0(sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f492,plain,
szDzozmdt0(sF26) = sF27,
inference(reorient_equations,[],[f491]) ).
fof(f493,definition,
sF28 = sdtlcdtrc0(sF26,sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f494,plain,
sdtlcdtrc0(sF26,sF27) = sF28,
inference(reorient_equations,[],[f493]) ).
fof(f495,plain,
~ aSubsetOf0(sF28,xT),
inference(definition_folding,[],[f451,f494,f492,f490,f490]) ).
fof(f516,plain,
( aFunction0(sF26)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f447,f490]) ).
fof(f517,plain,
aFunction0(sF26),
inference(forward_subsumption_resolution,[],[f516,f450]) ).
fof(f518,plain,
szDzozmdt0(sdtlpdtrp0(xC,sK25)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk),
inference(resolution,[],[f446,f450]) ).
fof(f519,plain,
szDzozmdt0(sF26) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk),
inference(forward_demodulation,[],[f518,f490]) ).
fof(f520,plain,
sF27 = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk),
inference(forward_demodulation,[],[f519,f492]) ).
fof(f526,plain,
! [X0] :
( ~ aElementOf0(X0,sF27)
| aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f472,f520]) ).
fof(f527,plain,
! [X0] :
( ~ aElementOf0(X0,sF27)
| aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ),
inference(forward_subsumption_resolution,[],[f526,f434]) ).
fof(f530,definition,
( spl29_4
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f531,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| spl29_4 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f534,definition,
( spl29_5
<=> ! [X0] :
( ~ aElementOf0(X0,sF27)
| aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f535,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aElementOf0(X0,sF27) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( ~ spl29_4
| spl29_5 ),
inference(avatar_split_clause,[],[f527,f534,f530]) ).
fof(f542,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f283,f424]) ).
fof(f546,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(forward_subsumption_resolution,[],[f542,f420]) ).
fof(f549,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aFunction0(xc)
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(resolution,[],[f407,f546]) ).
fof(f556,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(forward_subsumption_resolution,[],[f549,f426]) ).
fof(f561,plain,
( aSet0(sF27)
| ~ aFunction0(sF26) ),
inference(superposition,[],[f390,f492]) ).
fof(f563,plain,
aSet0(sF27),
inference(forward_subsumption_resolution,[],[f561,f517]) ).
fof(f564,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f441,f283]) ).
fof(f565,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f441,f284]) ).
fof(f566,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f565,f322]) ).
fof(f567,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f564,f322]) ).
fof(f570,plain,
! [X0] :
( ~ aElementOf0(X0,sF27)
| ~ aSet0(X0)
| sdtlpdtrp0(sdtlpdtrp0(xC,sK25),X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f445,f520]) ).
fof(f571,plain,
! [X0] :
( ~ aElementOf0(X0,sF27)
| ~ aSet0(X0)
| sdtlpdtrp0(sdtlpdtrp0(xC,sK25),X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK25)))) ),
inference(forward_subsumption_resolution,[],[f570,f450]) ).
fof(f572,plain,
! [X0] :
( ~ aElementOf0(X0,sF27)
| sdtlpdtrp0(sF26,X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aSet0(X0) ),
inference(forward_demodulation,[],[f571,f490]) ).
fof(f586,plain,
! [X0] :
( ~ aSubsetOf0(X0,sF27)
| aSet0(sdtlcdtrc0(sF26,X0))
| ~ aFunction0(sF26) ),
inference(superposition,[],[f479,f492]) ).
fof(f589,plain,
! [X0] :
( aSet0(sdtlcdtrc0(sF26,X0))
| ~ aSubsetOf0(X0,sF27) ),
inference(forward_subsumption_resolution,[],[f586,f517]) ).
fof(f611,plain,
! [X0] :
( ~ aElementOf0(X0,sF28)
| sdtlpdtrp0(sF26,sK19(sF26,sF27,X0)) = X0
| ~ aSubsetOf0(sF27,szDzozmdt0(sF26))
| ~ aFunction0(sF26) ),
inference(superposition,[],[f483,f494]) ).
fof(f614,plain,
! [X0] :
( ~ aElementOf0(X0,sF28)
| sdtlpdtrp0(sF26,sK19(sF26,sF27,X0)) = X0
| ~ aSubsetOf0(sF27,szDzozmdt0(sF26)) ),
inference(forward_subsumption_resolution,[],[f611,f517]) ).
fof(f618,plain,
! [X0] :
( ~ aSubsetOf0(sF27,sF27)
| ~ aElementOf0(X0,sF28)
| sdtlpdtrp0(sF26,sK19(sF26,sF27,X0)) = X0 ),
inference(forward_demodulation,[],[f614,f492]) ).
fof(f622,definition,
( spl29_6
<=> ! [X0] :
( ~ aElementOf0(X0,sF28)
| sdtlpdtrp0(sF26,sK19(sF26,sF27,X0)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f623,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF28)
| sdtlpdtrp0(sF26,sK19(sF26,sF27,X0)) = X0 )
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f625,definition,
( spl29_7
<=> aSubsetOf0(sF27,sF27) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f626,plain,
( aSubsetOf0(sF27,sF27)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f627,plain,
( ~ aSubsetOf0(sF27,sF27)
| spl29_7 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f628,plain,
( spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f618,f625,f622]) ).
fof(f642,plain,
( ~ aSet0(sF27)
| spl29_7 ),
inference(resolution,[],[f627,f288]) ).
fof(f643,plain,
( $false
| spl29_7 ),
inference(forward_subsumption_resolution,[],[f642,f563]) ).
fof(f644,plain,
spl29_7,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f650,plain,
( ! [X0] :
( sK5(X0,sF28) = sdtlpdtrp0(sF26,sK19(sF26,sF27,sK5(X0,sF28)))
| ~ aSet0(sF28)
| aSubsetOf0(sF28,X0)
| ~ aSet0(X0) )
| ~ spl29_6 ),
inference(resolution,[],[f623,f285]) ).
fof(f653,definition,
( spl29_11
<=> aSet0(sF28) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f654,plain,
( aSet0(sF28)
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f655,plain,
( ~ aSet0(sF28)
| spl29_11 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f657,definition,
( spl29_12
<=> ! [X0] :
( sK5(X0,sF28) = sdtlpdtrp0(sF26,sK19(sF26,sF27,sK5(X0,sF28)))
| ~ aSet0(X0)
| aSubsetOf0(sF28,X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f658,plain,
( ! [X0] :
( aSubsetOf0(sF28,X0)
| ~ aSet0(X0)
| sK5(X0,sF28) = sdtlpdtrp0(sF26,sK19(sF26,sF27,sK5(X0,sF28))) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f659,plain,
( ~ spl29_11
| spl29_12
| ~ spl29_6 ),
inference(avatar_split_clause,[],[f650,f622,f657,f653]) ).
fof(f661,plain,
! [X0] :
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f281,f440]) ).
fof(f662,plain,
! [X0] :
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f661,f566]) ).
fof(f877,plain,
( aSet0(sF28)
| ~ aSubsetOf0(sF27,sF27) ),
inference(superposition,[],[f589,f494]) ).
fof(f878,plain,
( ~ aSubsetOf0(sF27,sF27)
| spl29_11 ),
inference(forward_subsumption_resolution,[],[f877,f655]) ).
fof(f879,plain,
( $false
| ~ spl29_7
| spl29_11 ),
inference(forward_subsumption_resolution,[],[f878,f626]) ).
fof(f880,plain,
( ~ spl29_7
| spl29_11 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f882,plain,
( ~ aSet0(xT)
| sK5(xT,sF28) = sdtlpdtrp0(sF26,sK19(sF26,sF27,sK5(xT,sF28)))
| ~ spl29_12 ),
inference(resolution,[],[f658,f495]) ).
fof(f906,plain,
( sK5(xT,sF28) = sdtlpdtrp0(sF26,sK19(sF26,sF27,sK5(xT,sF28)))
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f882,f420]) ).
fof(f915,definition,
( spl29_38
<=> aElementOf0(sK19(sF26,sF27,sK5(xT,sF28)),sF27) ),
introduced(definition,[new_symbols(definition,[spl29_38])],[avatar_definition]) ).
fof(f916,plain,
( aElementOf0(sK19(sF26,sF27,sK5(xT,sF28)),sF27)
| ~ spl29_38 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f917,plain,
( ~ aElementOf0(sK19(sF26,sF27,sK5(xT,sF28)),sF27)
| spl29_38 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl29_39
<=> aElementOf0(sK5(xT,sF28),sF28) ),
introduced(definition,[new_symbols(definition,[spl29_39])],[avatar_definition]) ).
fof(f920,plain,
( ~ aElementOf0(sK5(xT,sF28),sF28)
| spl29_39 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f928,plain,
( ~ aElementOf0(sK5(xT,sF28),sdtlcdtrc0(sF26,sF27))
| ~ aSubsetOf0(sF27,szDzozmdt0(sF26))
| ~ aFunction0(sF26)
| spl29_38 ),
inference(resolution,[],[f917,f482]) ).
fof(f929,plain,
( ~ aElementOf0(sK5(xT,sF28),sdtlcdtrc0(sF26,sF27))
| ~ aSubsetOf0(sF27,szDzozmdt0(sF26))
| spl29_38 ),
inference(forward_subsumption_resolution,[],[f928,f517]) ).
fof(f930,plain,
( ~ aElementOf0(sK5(xT,sF28),sF28)
| ~ aSubsetOf0(sF27,szDzozmdt0(sF26))
| spl29_38 ),
inference(forward_demodulation,[],[f929,f494]) ).
fof(f931,plain,
( ~ aSubsetOf0(sF27,sF27)
| ~ aElementOf0(sK5(xT,sF28),sF28)
| spl29_38 ),
inference(forward_demodulation,[],[f930,f492]) ).
fof(f932,plain,
( ~ aElementOf0(sK5(xT,sF28),sF28)
| ~ spl29_7
| spl29_38 ),
inference(forward_subsumption_resolution,[],[f931,f626]) ).
fof(f933,plain,
( ~ spl29_39
| ~ spl29_7
| spl29_38 ),
inference(avatar_split_clause,[],[f932,f915,f625,f919]) ).
fof(f934,plain,
( ~ aSet0(sF28)
| aSubsetOf0(sF28,xT)
| ~ aSet0(xT)
| spl29_39 ),
inference(resolution,[],[f920,f285]) ).
fof(f935,plain,
( aSubsetOf0(sF28,xT)
| ~ aSet0(xT)
| ~ spl29_11
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f934,f654]) ).
fof(f936,plain,
( ~ aSet0(xT)
| ~ spl29_11
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f935,f495]) ).
fof(f937,plain,
( $false
| ~ spl29_11
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f936,f420]) ).
fof(f938,plain,
( ~ spl29_11
| spl29_39 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f942,plain,
( sdtlpdtrp0(sF26,sK19(sF26,sF27,sK5(xT,sF28))) = sdtlpdtrp0(xc,sdtpldt0(sK19(sF26,sF27,sK5(xT,sF28)),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aSet0(sK19(sF26,sF27,sK5(xT,sF28)))
| ~ spl29_38 ),
inference(resolution,[],[f916,f572]) ).
fof(f949,definition,
( spl29_40
<=> aSet0(sK19(sF26,sF27,sK5(xT,sF28))) ),
introduced(definition,[new_symbols(definition,[spl29_40])],[avatar_definition]) ).
fof(f950,plain,
( aSet0(sK19(sF26,sF27,sK5(xT,sF28)))
| ~ spl29_40 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f951,plain,
( ~ aSet0(sK19(sF26,sF27,sK5(xT,sF28)))
| spl29_40 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f987,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(resolution,[],[f567,f460]) ).
fof(f991,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(forward_subsumption_resolution,[],[f987,f441]) ).
fof(f1363,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f457,f309]) ).
fof(f1410,plain,
( ~ sP3(szmzizndt0(sdtlpdtrp0(xN,sK25)),sdtlpdtrp0(xN,sK25))
| spl29_4 ),
inference(resolution,[],[f1363,f532]) ).
fof(f1789,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f991,f276]) ).
fof(f1791,plain,
! [X0] :
( aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1789,f322]) ).
fof(f3382,plain,
( ~ aSet0(sdtlpdtrp0(xN,sK25))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25)))
| spl29_4 ),
inference(resolution,[],[f1410,f314]) ).
fof(f3569,plain,
! [X0] :
( ~ aElementOf0(X0,sF27)
| ~ aSet0(X0)
| aElementOf0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK25))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f444,f520]) ).
fof(f3570,plain,
! [X0] :
( ~ aElementOf0(X0,sF27)
| ~ aSet0(X0)
| aElementOf0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK25))),slbdtsldtrb0(xS,xK)) ),
inference(forward_subsumption_resolution,[],[f3569,f450]) ).
fof(f3581,plain,
! [X0] :
( aElementOf0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK25))),szDzozmdt0(xc))
| ~ aElementOf0(X0,sF27)
| ~ aSet0(X0) ),
inference(forward_demodulation,[],[f3570,f425]) ).
fof(f3983,plain,
( sdtlpdtrp0(sF26,sK19(sF26,sF27,sK5(xT,sF28))) = sdtlpdtrp0(xc,sdtpldt0(sK19(sF26,sF27,sK5(xT,sF28)),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ spl29_38
| ~ spl29_40 ),
inference(forward_subsumption_resolution,[],[f942,f950]) ).
fof(f4070,definition,
( spl29_208
<=> aElementOf0(sK5(xT,sF28),xT) ),
introduced(definition,[new_symbols(definition,[spl29_208])],[avatar_definition]) ).
fof(f4072,plain,
( aElementOf0(sK5(xT,sF28),xT)
| ~ spl29_208 ),
inference(avatar_component_clause,[],[f4070]) ).
fof(f4141,plain,
( sK5(xT,sF28) = sdtlpdtrp0(xc,sdtpldt0(sK19(sF26,sF27,sK5(xT,sF28)),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ spl29_12
| ~ spl29_38
| ~ spl29_40 ),
inference(forward_demodulation,[],[f3983,f906]) ).
fof(f4239,plain,
( aElementOf0(sK5(xT,sF28),xT)
| ~ aElementOf0(sdtpldt0(sK19(sF26,sF27,sK5(xT,sF28)),szmzizndt0(sdtlpdtrp0(xN,sK25))),szDzozmdt0(xc))
| ~ spl29_12
| ~ spl29_38
| ~ spl29_40 ),
inference(superposition,[],[f556,f4141]) ).
fof(f4245,definition,
( spl29_221
<=> aElementOf0(sdtpldt0(sK19(sF26,sF27,sK5(xT,sF28)),szmzizndt0(sdtlpdtrp0(xN,sK25))),szDzozmdt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl29_221])],[avatar_definition]) ).
fof(f4247,plain,
( ~ aElementOf0(sdtpldt0(sK19(sF26,sF27,sK5(xT,sF28)),szmzizndt0(sdtlpdtrp0(xN,sK25))),szDzozmdt0(xc))
| spl29_221 ),
inference(avatar_component_clause,[],[f4245]) ).
fof(f4248,plain,
( ~ spl29_221
| spl29_208
| ~ spl29_12
| ~ spl29_38
| ~ spl29_40 ),
inference(avatar_split_clause,[],[f4239,f949,f915,f657,f4070,f4245]) ).
fof(f4366,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aSet0(X0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) )
| ~ spl29_5 ),
inference(resolution,[],[f535,f284]) ).
fof(f4367,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aSet0(X0) )
| ~ spl29_4
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f4366,f531]) ).
fof(f4376,definition,
( spl29_227
<=> aSet0(sdtlpdtrp0(xN,sK25)) ),
introduced(definition,[new_symbols(definition,[spl29_227])],[avatar_definition]) ).
fof(f4378,plain,
( ~ aSet0(sdtlpdtrp0(xN,sK25))
| spl29_227 ),
inference(avatar_component_clause,[],[f4376]) ).
fof(f4398,definition,
( spl29_229
<=> aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25))) ),
introduced(definition,[new_symbols(definition,[spl29_229])],[avatar_definition]) ).
fof(f4400,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25)))
| spl29_229 ),
inference(avatar_component_clause,[],[f4398]) ).
fof(f4401,plain,
( ~ spl29_229
| ~ spl29_227
| spl29_4 ),
inference(avatar_split_clause,[],[f3382,f530,f4376,f4398]) ).
fof(f4402,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl29_227 ),
inference(resolution,[],[f4378,f566]) ).
fof(f4403,plain,
( $false
| spl29_227 ),
inference(forward_subsumption_resolution,[],[f4402,f450]) ).
fof(f4404,plain,
spl29_227,
inference(avatar_contradiction_clause,[],[f4403]) ).
fof(f4405,plain,
( slcrc0 = sdtlpdtrp0(xN,sK25)
| ~ aElementOf0(sK25,szNzAzT0)
| spl29_229 ),
inference(resolution,[],[f4400,f1791]) ).
fof(f4406,plain,
( slcrc0 = sdtlpdtrp0(xN,sK25)
| spl29_229 ),
inference(forward_subsumption_resolution,[],[f4405,f450]) ).
fof(f4426,plain,
( ~ isFinite0(slcrc0)
| ~ aElementOf0(sK25,szNzAzT0)
| spl29_229 ),
inference(superposition,[],[f662,f4406]) ).
fof(f4439,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl29_229 ),
inference(forward_subsumption_resolution,[],[f4426,f280]) ).
fof(f4452,plain,
( $false
| spl29_229 ),
inference(forward_subsumption_resolution,[],[f4439,f450]) ).
fof(f4453,plain,
spl29_229,
inference(avatar_contradiction_clause,[],[f4452]) ).
fof(f4483,plain,
( aSet0(sK19(sF26,sF27,sK5(xT,sF28)))
| ~ spl29_4
| ~ spl29_5
| ~ spl29_38 ),
inference(resolution,[],[f4367,f916]) ).
fof(f5071,plain,
( ~ aElementOf0(sK19(sF26,sF27,sK5(xT,sF28)),sF27)
| ~ aSet0(sK19(sF26,sF27,sK5(xT,sF28)))
| spl29_221 ),
inference(resolution,[],[f4247,f3581]) ).
fof(f5073,plain,
( ~ aElementOf0(sK19(sF26,sF27,sK5(xT,sF28)),sF27)
| ~ spl29_4
| ~ spl29_5
| spl29_221 ),
inference(forward_subsumption_resolution,[],[f5071,f4367]) ).
fof(f5074,plain,
( $false
| ~ spl29_4
| ~ spl29_5
| ~ spl29_38
| spl29_221 ),
inference(forward_subsumption_resolution,[],[f5073,f916]) ).
fof(f5075,plain,
( ~ spl29_4
| ~ spl29_5
| ~ spl29_38
| spl29_221 ),
inference(avatar_contradiction_clause,[],[f5074]) ).
fof(f5104,plain,
( $false
| ~ spl29_4
| ~ spl29_5
| ~ spl29_38
| spl29_40 ),
inference(forward_subsumption_resolution,[],[f4483,f951]) ).
fof(f5105,plain,
( ~ spl29_4
| ~ spl29_5
| ~ spl29_38
| spl29_40 ),
inference(avatar_contradiction_clause,[],[f5104]) ).
fof(f5109,plain,
( ~ aSet0(sF28)
| aSubsetOf0(sF28,xT)
| ~ aSet0(xT)
| ~ spl29_208 ),
inference(resolution,[],[f4072,f286]) ).
fof(f5113,plain,
( aSubsetOf0(sF28,xT)
| ~ aSet0(xT)
| ~ spl29_11
| ~ spl29_208 ),
inference(forward_subsumption_resolution,[],[f5109,f654]) ).
fof(f5114,plain,
( ~ aSet0(xT)
| ~ spl29_11
| ~ spl29_208 ),
inference(forward_subsumption_resolution,[],[f5113,f495]) ).
fof(f5115,plain,
( $false
| ~ spl29_11
| ~ spl29_208 ),
inference(forward_subsumption_resolution,[],[f5114,f420]) ).
fof(f5116,plain,
( ~ spl29_11
| ~ spl29_208 ),
inference(avatar_contradiction_clause,[],[f5115]) ).
cnf(s4,plain,
( ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f536]) ).
cnf(s5,plain,
( spl29_6
| ~ spl29_7 ),
inference(sat_conversion,[],[f628]) ).
cnf(s8,plain,
spl29_7,
inference(sat_conversion,[],[f644]) ).
cnf(s9,plain,
( ~ spl29_6
| ~ spl29_11
| spl29_12 ),
inference(sat_conversion,[],[f659]) ).
cnf(s22,plain,
( ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f880]) ).
cnf(s26,plain,
( ~ spl29_7
| spl29_38
| ~ spl29_39 ),
inference(sat_conversion,[],[f933]) ).
cnf(s27,plain,
( ~ spl29_11
| spl29_39 ),
inference(sat_conversion,[],[f938]) ).
cnf(s227,plain,
( ~ spl29_12
| ~ spl29_38
| ~ spl29_40
| spl29_208
| ~ spl29_221 ),
inference(sat_conversion,[],[f4248]) ).
cnf(s234,plain,
( spl29_4
| ~ spl29_227
| ~ spl29_229 ),
inference(sat_conversion,[],[f4401]) ).
cnf(s235,plain,
spl29_227,
inference(sat_conversion,[],[f4404]) ).
cnf(s236,plain,
spl29_229,
inference(sat_conversion,[],[f4453]) ).
cnf(s274,plain,
( ~ spl29_4
| ~ spl29_5
| ~ spl29_38
| spl29_221 ),
inference(sat_conversion,[],[f5075]) ).
cnf(s281,plain,
( ~ spl29_4
| ~ spl29_5
| ~ spl29_38
| spl29_40 ),
inference(sat_conversion,[],[f5105]) ).
cnf(s282,plain,
( ~ spl29_11
| ~ spl29_208 ),
inference(sat_conversion,[],[f5116]) ).
cnf(s283,plain,
spl29_4,
inference(rat,[],[s234,s236,s235]) ).
cnf(s309,plain,
spl29_11,
inference(rat,[],[s22,s8]) ).
cnf(s310,plain,
~ spl29_208,
inference(rat,[],[s282,s309]) ).
cnf(s311,plain,
spl29_39,
inference(rat,[],[s27,s309]) ).
cnf(s313,plain,
spl29_38,
inference(rat,[],[s26,s8,s311]) ).
cnf(s317,plain,
spl29_6,
inference(rat,[],[s5,s8]) ).
cnf(s318,plain,
spl29_12,
inference(rat,[],[s9,s309,s317]) ).
cnf(s319,plain,
spl29_5,
inference(rat,[],[s4,s283]) ).
cnf(s320,plain,
spl29_40,
inference(rat,[],[s281,s313,s283,s319]) ).
cnf(s321,plain,
spl29_221,
inference(rat,[],[s274,s313,s283,s319]) ).
cnf(s323,plain,
$false,
inference(rat,[],[s227,s318,s310,s313,s321,s320]) ).
fof(f5117,plain,
$false,
inference(avatar_sat_refutation,[],[s323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM585+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 20:38:04 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 11.38/2.44 % (3726185)Detected formulas, will run a generic FOF schedule.
% 11.38/2.44 % (3726191)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=1673752658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.38/2.44 % (3726193)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=840566986:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.38/2.44 % (3726194)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3655168124:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.38/2.44 % (3726196)dis-21_1_sil=8000:lcm=predicate:random_seed=2381222281: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)
% 11.38/2.44 % (3726190)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=3271849332:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.38/2.44 % (3726195)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2572297687:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.38/2.44 % (3726192)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=557274926:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.38/2.44 % (3726194)Instruction limit reached!
% 11.38/2.44 % (3726194)------------------------------
% 11.38/2.44 % (3726194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726194)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726194)Termination reason: Instruction limit
% 11.38/2.44 % (3726194)Termination phase: Saturation
% 11.38/2.44 % (3726194)Time elapsed: 0.054 s
% 11.38/2.44 % (3726194)Peak memory usage: 88 MB
% 11.38/2.44 % (3726194)Instructions burned: 121 (million)
% 11.38/2.44 % (3726196)Instruction limit reached!
% 11.38/2.44 % (3726196)------------------------------
% 11.38/2.44 % (3726196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726196)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726196)Termination reason: Instruction limit
% 11.38/2.44 % (3726196)Termination phase: Saturation
% 11.38/2.44 % (3726196)Time elapsed: 0.064 s
% 11.38/2.44 % (3726196)Peak memory usage: 88 MB
% 11.38/2.44 % (3726196)Instructions burned: 130 (million)
% 11.38/2.44 % (3726193)Instruction limit reached!
% 11.38/2.44 % (3726193)------------------------------
% 11.38/2.44 % (3726193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726193)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726193)Termination reason: Instruction limit
% 11.38/2.44 % (3726193)Termination phase: Saturation
% 11.38/2.44 % (3726193)Time elapsed: 0.070 s
% 11.38/2.44 % (3726193)Peak memory usage: 89 MB
% 11.38/2.44 % (3726193)Instructions burned: 110 (million)
% 11.38/2.44 % (3726195)Instruction limit reached!
% 11.38/2.44 % (3726195)------------------------------
% 11.38/2.44 % (3726195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726195)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726195)Termination reason: Instruction limit
% 11.38/2.44 % (3726195)Termination phase: Saturation
% 11.38/2.44 % (3726195)Time elapsed: 0.100 s
% 11.38/2.44 % (3726195)Peak memory usage: 90 MB
% 11.38/2.44 % (3726195)Instructions burned: 139 (million)
% 11.38/2.44 % (3726205)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1185836233:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.38/2.44 % (3726204)lrs+10_1_sil=8000:sp=occurrence:random_seed=3092688099:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.38/2.44 % (3726205)Refutation not found, incomplete strategy
% 11.38/2.44 % (3726205)------------------------------
% 11.38/2.44 % (3726205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726205)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726205)Termination reason: Refutation not found, incomplete strategy
% 11.38/2.44 % (3726205)Time elapsed: 0.010 s
% 11.38/2.44 % (3726205)Peak memory usage: 89 MB
% 11.38/2.44 % (3726205)Instructions burned: 13 (million)
% 11.38/2.44 % (3726206)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2797967721:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.38/2.44 % (3726207)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=805797092:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.38/2.44 % (3726204)Instruction limit reached!
% 11.38/2.44 % (3726204)------------------------------
% 11.38/2.44 % (3726204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726204)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726204)Termination reason: Instruction limit
% 11.38/2.44 % (3726204)Termination phase: Saturation
% 11.38/2.44 % (3726204)Time elapsed: 0.179 s
% 11.38/2.44 % (3726204)Peak memory usage: 92 MB
% 11.38/2.44 % (3726204)Instructions burned: 286 (million)
% 11.38/2.44 % (3726207)Instruction limit reached!
% 11.38/2.44 % (3726207)------------------------------
% 11.38/2.44 % (3726207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726207)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726207)Termination reason: Instruction limit
% 11.38/2.44 % (3726207)Termination phase: Saturation
% 11.38/2.44 % (3726207)Time elapsed: 0.149 s
% 11.38/2.44 % (3726207)Peak memory usage: 92 MB
% 11.38/2.44 % (3726207)Instructions burned: 250 (million)
% 11.38/2.44 % (3726206)Instruction limit reached!
% 11.38/2.44 % (3726206)------------------------------
% 11.38/2.44 % (3726206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726206)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726206)Termination reason: Instruction limit
% 11.38/2.44 % (3726206)Termination phase: Saturation
% 11.38/2.44 % (3726206)Time elapsed: 0.193 s
% 11.38/2.44 % (3726206)Peak memory usage: 91 MB
% 11.38/2.44 % (3726206)Instructions burned: 325 (million)
% 11.38/2.44 % (3726205)------------------------------
% 11.38/2.44 % (3726205)------------------------------
% 11.38/2.44 % (3726212)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=549370323:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.38/2.44 % (3726213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2145703891:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.38/2.44 % (3726214)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3131866624:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.38/2.44 % (3726215)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1862854592:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.38/2.44 % (3726214)Instruction limit reached!
% 11.38/2.44 % (3726214)------------------------------
% 11.38/2.44 % (3726214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726214)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726214)Termination reason: Instruction limit
% 11.38/2.44 % (3726214)Termination phase: Saturation
% 11.38/2.44 % (3726214)Time elapsed: 0.075 s
% 11.38/2.44 % (3726214)Peak memory usage: 90 MB
% 11.38/2.44 % (3726214)Instructions burned: 113 (million)
% 11.38/2.44 % (3726215)Instruction limit reached!
% 11.38/2.44 % (3726215)------------------------------
% 11.38/2.44 % (3726215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726215)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726215)Termination reason: Instruction limit
% 11.38/2.44 % (3726215)Termination phase: Saturation
% 11.38/2.44 % (3726215)Time elapsed: 0.067 s
% 11.38/2.44 % (3726215)Peak memory usage: 89 MB
% 11.38/2.44 % (3726215)Instructions burned: 127 (million)
% 11.38/2.44 % (3726212)Instruction limit reached!
% 11.38/2.44 % (3726212)------------------------------
% 11.38/2.44 % (3726212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726212)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726212)Termination reason: Instruction limit
% 11.38/2.44 % (3726212)Termination phase: Saturation
% 11.38/2.44 % (3726212)Time elapsed: 0.177 s
% 11.38/2.44 % (3726212)Peak memory usage: 90 MB
% 11.38/2.44 % (3726212)Instructions burned: 295 (million)
% 11.38/2.44 % (3726220)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2266773986:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.38/2.44 % (3726221)lrs+10_1_sil=8000:sp=occurrence:random_seed=2468315646:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.38/2.44 % (3726220)Instruction limit reached!
% 11.38/2.44 % (3726220)------------------------------
% 11.38/2.44 % (3726220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726220)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726220)Termination reason: Instruction limit
% 11.38/2.44 % (3726220)Termination phase: Saturation
% 11.38/2.44 % (3726220)Time elapsed: 0.074 s
% 11.38/2.44 % (3726220)Peak memory usage: 89 MB
% 11.38/2.44 % (3726220)Instructions burned: 115 (million)
% 11.38/2.44 % (3726222)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2446684053:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.38/2.44 % (3726226)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3118364365:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.38/2.44 % (3726222)Instruction limit reached!
% 11.38/2.44 % (3726222)------------------------------
% 11.38/2.44 % (3726222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726222)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726222)Termination reason: Instruction limit
% 11.38/2.44 % (3726222)Termination phase: Saturation
% 11.38/2.44 % (3726222)Time elapsed: 0.237 s
% 11.38/2.44 % (3726222)Peak memory usage: 91 MB
% 11.38/2.44 % (3726222)Instructions burned: 438 (million)
% 11.38/2.44 % (3726190)First to succeed.
% 11.38/2.44 % (3726190)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3726185"
% 11.38/2.44 % (3726228)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2520355229:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.38/2.44 % (3726228)Instruction limit reached!
% 11.38/2.44 % (3726228)------------------------------
% 11.38/2.44 % (3726228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726228)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726228)Termination reason: Instruction limit
% 11.38/2.44 % (3726228)Termination phase: Saturation
% 11.38/2.44 % (3726228)Time elapsed: 0.080 s
% 11.38/2.44 % (3726228)Peak memory usage: 90 MB
% 11.38/2.44 % (3726228)Instructions burned: 135 (million)
% 11.38/2.44 % (3726221)Instruction limit reached!
% 11.38/2.44 % (3726221)------------------------------
% 11.38/2.44 % (3726221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.44 % (3726221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.44 % (3726221)CaDiCaL version: 2.1.3
% 11.38/2.44 % (3726221)Termination reason: Instruction limit
% 11.38/2.44 % (3726221)Termination phase: Saturation
% 11.38/2.44 % (3726221)Time elapsed: 0.551 s
% 11.38/2.44 % (3726221)Peak memory usage: 98 MB
% 11.38/2.44 % (3726221)Instructions burned: 908 (million)
% 11.38/2.44 % (3726190)Refutation found. Thanks to Tanya!
% 11.38/2.44 % SZS status Theorem for theBenchmark
% 11.38/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 11.90/2.64 % (3726190)------------------------------
% 11.90/2.64 % (3726190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.64 % (3726190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.64 % (3726190)CaDiCaL version: 2.1.3
% 11.90/2.64 % (3726190)Termination reason: Refutation
% 11.90/2.64 % (3726190)Time elapsed: 1.168 s
% 11.90/2.64 % (3726190)Peak memory usage: 136 MB
% 11.90/2.64 % (3726190)Instructions burned: 1723 (million)
% 11.90/2.64 % (3726190)------------------------------
% 11.90/2.64 % (3726190)------------------------------
% 11.90/2.64 % (3726185)Success in time 1.6 s
% 11.90/2.64 % Vampire exiting
%------------------------------------------------------------------------------