%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM580+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:50 PM UTC 2026
% Result : Theorem 5.82s 1.79s
% Output : Refutation 7.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 32
% Syntax : Number of formulae : 212 ( 38 unt; 17 def)
% Number of atoms : 794 ( 136 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 982 ( 400 ~; 408 |; 125 &)
% ( 35 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 213 ( 0 sgn 197 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f43,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f85,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).
fof(f86,axiom,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989_02) ).
fof(f87,conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f88,negated_conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f96,plain,
xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(flattening,[],[f88]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f98,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f101,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f102,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
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(ennf_transformation,[],[f16]) ).
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(flattening,[],[f113]) ).
fof(f146,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f148]) ).
fof(f156,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(f157,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f156]) ).
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(ennf_transformation,[],[f57]) ).
fof(f172,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,[],[f171]) ).
fof(f200,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f208,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(f209,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(f210,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f114,f209,f208]) ).
fof(f211,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f212,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f211]) ).
fof(f213,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f212]) ).
fof(f214,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))],[f213]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f216,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,[],[f215]) ).
fof(f217,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,[],[f216]) ).
fof(f218,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))],[f217]) ).
fof(f225,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,[],[f209]) ).
fof(f226,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,[],[f225]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f208]) ).
fof(f228,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,[],[f227]) ).
fof(f229,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,[],[f228]) ).
fof(f230,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))],[f229]) ).
fof(f233,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f157]) ).
fof(f237,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,[],[f236]) ).
fof(f238,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,[],[f237]) ).
fof(f239,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))],[f238]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f172]) ).
fof(f253,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [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,[],[f252]) ).
fof(f254,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,[],[f253]) ).
fof(f255,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))],[f254]) ).
fof(f271,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f273,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f214]) ).
fof(f277,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f278,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f279,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f298,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f300,plain,
! [X2,X0,X1,X4] :
( X2 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f309,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f317,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f336,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f340,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f346,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f371,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f372,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f428,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f429,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f435,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f436,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f439,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f85]) ).
fof(f440,plain,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(cnf_transformation,[],[f86]) ).
fof(f441,plain,
xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f96]) ).
fof(f442,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f273]) ).
fof(f444,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f277]) ).
fof(f447,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f298]) ).
fof(f448,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f300]) ).
fof(f450,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f346]) ).
fof(f462,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f372]) ).
fof(f463,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| sbrdtbr0(X4) = X1
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f371]) ).
fof(f479,definition,
sF25 = sdtlpdtrp0(xN,xi),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f480,plain,
sdtlpdtrp0(xN,xi) = sF25,
inference(reorient_equations,[],[f479]) ).
fof(f481,definition,
sF26 = szmzizndt0(sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f482,plain,
szmzizndt0(sF25) = sF26,
inference(reorient_equations,[],[f481]) ).
fof(f483,definition,
sF27 = sdtpldt0(xQ,sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f484,plain,
sdtpldt0(xQ,sF26) = sF27,
inference(reorient_equations,[],[f483]) ).
fof(f485,definition,
sF28 = sbrdtbr0(sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f486,plain,
sbrdtbr0(sF27) = sF28,
inference(reorient_equations,[],[f485]) ).
fof(f487,plain,
xK != sF28,
inference(definition_folding,[],[f441,f486,f484,f482,f480]) ).
fof(f492,definition,
( spl29_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f501,definition,
( spl29_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f503,plain,
( ~ isCountable0(slcrc0)
| spl29_3 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f504,plain,
( ~ spl29_3
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f444,f492,f501]) ).
fof(f505,plain,
spl29_1,
inference(avatar_split_clause,[],[f442,f492]) ).
fof(f518,plain,
( xk = sbrdtbr0(xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[],[f463,f440]) ).
fof(f519,plain,
( xk = sbrdtbr0(xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(forward_subsumption_resolution,[],[f518,f429]) ).
fof(f520,plain,
( ~ aSet0(sdtmndt0(sF25,szmzizndt0(sF25)))
| xk = sbrdtbr0(xQ) ),
inference(forward_demodulation,[],[f519,f480]) ).
fof(f521,plain,
( ~ aSet0(sdtmndt0(sF25,sF26))
| xk = sbrdtbr0(xQ) ),
inference(forward_demodulation,[],[f520,f482]) ).
fof(f523,definition,
( spl29_4
<=> xk = sbrdtbr0(xQ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f525,plain,
( xk = sbrdtbr0(xQ)
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f527,definition,
( spl29_5
<=> aSet0(sdtmndt0(sF25,sF26)) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f528,plain,
( aSet0(sdtmndt0(sF25,sF26))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f529,plain,
( ~ aSet0(sdtmndt0(sF25,sF26))
| spl29_5 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,plain,
( spl29_4
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f521,f527,f523]) ).
fof(f559,plain,
( aElementOf0(sF26,sF25)
| ~ aSubsetOf0(sF25,szNzAzT0)
| slcrc0 = sF25 ),
inference(superposition,[],[f450,f482]) ).
fof(f561,definition,
( spl29_8
<=> slcrc0 = sF25 ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f563,plain,
( slcrc0 = sF25
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f565,definition,
( spl29_9
<=> aSubsetOf0(sF25,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f566,plain,
( aSubsetOf0(sF25,szNzAzT0)
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( ~ aSubsetOf0(sF25,szNzAzT0)
| spl29_9 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f569,definition,
( spl29_10
<=> aElementOf0(sF26,sF25) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f571,plain,
( aElementOf0(sF26,sF25)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,plain,
( spl29_8
| ~ spl29_9
| spl29_10 ),
inference(avatar_split_clause,[],[f559,f569,f565,f561]) ).
fof(f657,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f436,f279]) ).
fof(f658,plain,
( aSubsetOf0(sF25,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f436,f480]) ).
fof(f659,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl29_9 ),
inference(forward_subsumption_resolution,[],[f658,f567]) ).
fof(f660,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f657,f317]) ).
fof(f662,plain,
( $false
| spl29_9 ),
inference(forward_subsumption_resolution,[],[f659,f439]) ).
fof(f663,plain,
spl29_9,
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f680,plain,
( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[],[f462,f440]) ).
fof(f682,plain,
( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(forward_subsumption_resolution,[],[f680,f429]) ).
fof(f684,plain,
( aSubsetOf0(xQ,sdtmndt0(sF25,szmzizndt0(sF25)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(forward_demodulation,[],[f682,f480]) ).
fof(f685,plain,
( aSubsetOf0(xQ,sdtmndt0(sF25,sF26))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(forward_demodulation,[],[f684,f482]) ).
fof(f689,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f304,f447]) ).
fof(f690,plain,
( ~ sP3(sF26,sF25)
| spl29_5 ),
inference(resolution,[],[f689,f529]) ).
fof(f692,plain,
( aSet0(sF25)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f660,f480]) ).
fof(f693,plain,
aSet0(sF25),
inference(forward_subsumption_resolution,[],[f692,f439]) ).
fof(f736,plain,
( isCountable0(sF25)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f435,f480]) ).
fof(f738,plain,
isCountable0(sF25),
inference(forward_subsumption_resolution,[],[f736,f439]) ).
fof(f739,plain,
( isCountable0(slcrc0)
| ~ spl29_8 ),
inference(forward_demodulation,[],[f738,f563]) ).
fof(f740,plain,
( $false
| spl29_3
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f739,f503]) ).
fof(f741,plain,
( spl29_3
| ~ spl29_8 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f743,plain,
( ~ aSet0(sdtmndt0(sF25,szmzizndt0(sF25)))
| aSubsetOf0(xQ,sdtmndt0(sF25,sF26)) ),
inference(forward_demodulation,[],[f685,f480]) ).
fof(f745,plain,
( ~ aSet0(sdtmndt0(sF25,sF26))
| aSubsetOf0(xQ,sdtmndt0(sF25,sF26)) ),
inference(forward_demodulation,[],[f743,f482]) ).
fof(f759,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl29_9 ),
inference(resolution,[],[f566,f278]) ).
fof(f761,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,szNzAzT0) )
| ~ spl29_9 ),
inference(forward_subsumption_resolution,[],[f759,f317]) ).
fof(f766,plain,
( aElementOf0(sF26,szNzAzT0)
| ~ spl29_9
| ~ spl29_10 ),
inference(resolution,[],[f761,f571]) ).
fof(f813,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f448,f447]) ).
fof(f818,plain,
( ~ aSet0(sF25)
| ~ aElement0(sF26)
| spl29_5 ),
inference(resolution,[],[f309,f690]) ).
fof(f819,plain,
( ~ aElement0(sF26)
| spl29_5 ),
inference(forward_subsumption_resolution,[],[f818,f693]) ).
fof(f832,plain,
( aElement0(sF26)
| ~ aSet0(sF25)
| ~ spl29_10 ),
inference(resolution,[],[f271,f571]) ).
fof(f833,plain,
( aElement0(sF26)
| ~ aSet0(szNzAzT0)
| ~ spl29_9
| ~ spl29_10 ),
inference(resolution,[],[f271,f766]) ).
fof(f836,plain,
( ~ aSet0(sF25)
| spl29_5
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f832,f819]) ).
fof(f848,plain,
( $false
| spl29_5
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f836,f693]) ).
fof(f849,plain,
( spl29_5
| ~ spl29_10 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f852,plain,
( aSubsetOf0(xQ,sdtmndt0(sF25,sF26))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f745,f528]) ).
fof(f853,plain,
( aElement0(sF26)
| ~ spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f833,f317]) ).
fof(f856,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl29_4 ),
inference(superposition,[],[f336,f525]) ).
fof(f860,plain,
( isFinite0(xQ)
| ~ aSet0(xQ)
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f856,f429]) ).
fof(f862,definition,
( spl29_33
<=> aSet0(xQ) ),
introduced(definition,[new_symbols(definition,[spl29_33])],[avatar_definition]) ).
fof(f863,plain,
( aSet0(xQ)
| ~ spl29_33 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f864,plain,
( ~ aSet0(xQ)
| spl29_33 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f866,definition,
( spl29_34
<=> isFinite0(xQ) ),
introduced(definition,[new_symbols(definition,[spl29_34])],[avatar_definition]) ).
fof(f868,plain,
( isFinite0(xQ)
| ~ spl29_34 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f869,plain,
( ~ spl29_33
| spl29_34
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f860,f523,f866,f862]) ).
fof(f870,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,sdtmndt0(sF25,sF26))
| ~ aSet0(sdtmndt0(sF25,sF26)) )
| ~ spl29_5 ),
inference(resolution,[],[f852,f278]) ).
fof(f871,plain,
( aSet0(xQ)
| ~ aSet0(sdtmndt0(sF25,sF26))
| ~ spl29_5 ),
inference(resolution,[],[f852,f279]) ).
fof(f872,plain,
( ~ aSet0(sdtmndt0(sF25,sF26))
| ~ spl29_5
| spl29_33 ),
inference(forward_subsumption_resolution,[],[f871,f864]) ).
fof(f873,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sF25,sF26))
| ~ aElementOf0(X0,xQ) )
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f870,f528]) ).
fof(f874,plain,
( $false
| ~ spl29_5
| spl29_33 ),
inference(forward_subsumption_resolution,[],[f872,f528]) ).
fof(f875,plain,
( ~ spl29_5
| spl29_33 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f876,plain,
( ~ aElementOf0(sF26,xQ)
| ~ sP3(sF26,sF25)
| ~ spl29_5 ),
inference(resolution,[],[f873,f813]) ).
fof(f897,definition,
( spl29_38
<=> sP3(sF26,sF25) ),
introduced(definition,[new_symbols(definition,[spl29_38])],[avatar_definition]) ).
fof(f899,plain,
( ~ sP3(sF26,sF25)
| spl29_38 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f901,definition,
( spl29_39
<=> aElementOf0(sF26,xQ) ),
introduced(definition,[new_symbols(definition,[spl29_39])],[avatar_definition]) ).
fof(f903,plain,
( ~ aElementOf0(sF26,xQ)
| spl29_39 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f904,plain,
( ~ spl29_38
| ~ spl29_39
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f876,f527,f901,f897]) ).
fof(f913,plain,
( sbrdtbr0(sdtpldt0(xQ,sF26)) = szszuzczcdt0(sbrdtbr0(xQ))
| ~ aElement0(sF26)
| ~ aSet0(xQ)
| ~ isFinite0(xQ)
| spl29_39 ),
inference(resolution,[],[f903,f340]) ).
fof(f914,plain,
( sbrdtbr0(sdtpldt0(xQ,sF26)) = szszuzczcdt0(sbrdtbr0(xQ))
| ~ aSet0(xQ)
| ~ isFinite0(xQ)
| ~ spl29_9
| ~ spl29_10
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f913,f853]) ).
fof(f915,plain,
( sbrdtbr0(sdtpldt0(xQ,sF26)) = szszuzczcdt0(sbrdtbr0(xQ))
| ~ isFinite0(xQ)
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f914,f863]) ).
fof(f916,plain,
( sbrdtbr0(sdtpldt0(xQ,sF26)) = szszuzczcdt0(sbrdtbr0(xQ))
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f915,f868]) ).
fof(f917,plain,
( szszuzczcdt0(xk) = sbrdtbr0(sdtpldt0(xQ,sF26))
| ~ spl29_4
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(forward_demodulation,[],[f916,f525]) ).
fof(f918,plain,
( szszuzczcdt0(xk) = sbrdtbr0(sF27)
| ~ spl29_4
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(forward_demodulation,[],[f917,f484]) ).
fof(f919,plain,
( szszuzczcdt0(xk) = sF28
| ~ spl29_4
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(forward_demodulation,[],[f918,f486]) ).
fof(f920,plain,
( xK = sF28
| ~ spl29_4
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(forward_demodulation,[],[f919,f428]) ).
fof(f921,plain,
( $false
| ~ spl29_4
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f920,f487]) ).
fof(f922,plain,
( ~ spl29_4
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f946,plain,
( ~ aSet0(sF25)
| ~ aElement0(sF26)
| spl29_38 ),
inference(resolution,[],[f899,f309]) ).
fof(f947,plain,
( ~ aElement0(sF26)
| spl29_38 ),
inference(forward_subsumption_resolution,[],[f946,f693]) ).
fof(f948,plain,
( $false
| ~ spl29_9
| ~ spl29_10
| spl29_38 ),
inference(forward_subsumption_resolution,[],[f947,f853]) ).
fof(f949,plain,
( ~ spl29_9
| ~ spl29_10
| spl29_38 ),
inference(avatar_contradiction_clause,[],[f948]) ).
cnf(s2,plain,
( ~ spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f504]) ).
cnf(s3,plain,
spl29_1,
inference(sat_conversion,[],[f505]) ).
cnf(s4,plain,
( spl29_4
| ~ spl29_5 ),
inference(sat_conversion,[],[f530]) ).
cnf(s6,plain,
( spl29_8
| ~ spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f572]) ).
cnf(s14,plain,
spl29_9,
inference(sat_conversion,[],[f663]) ).
cnf(s17,plain,
( spl29_3
| ~ spl29_8 ),
inference(sat_conversion,[],[f741]) ).
cnf(s22,plain,
( spl29_5
| ~ spl29_10 ),
inference(sat_conversion,[],[f849]) ).
cnf(s23,plain,
( ~ spl29_4
| ~ spl29_33
| spl29_34 ),
inference(sat_conversion,[],[f869]) ).
cnf(s24,plain,
( ~ spl29_5
| spl29_33 ),
inference(sat_conversion,[],[f875]) ).
cnf(s26,plain,
( ~ spl29_5
| ~ spl29_38
| ~ spl29_39 ),
inference(sat_conversion,[],[f904]) ).
cnf(s28,plain,
( ~ spl29_4
| ~ spl29_9
| ~ spl29_10
| ~ spl29_33
| ~ spl29_34
| spl29_39 ),
inference(sat_conversion,[],[f922]) ).
cnf(s30,plain,
( ~ spl29_9
| ~ spl29_10
| spl29_38 ),
inference(sat_conversion,[],[f949]) ).
cnf(s31,plain,
( spl29_8
| spl29_10 ),
inference(rat,[],[s6,s14]) ).
cnf(s32,plain,
~ spl29_3,
inference(rat,[],[s2,s3]) ).
cnf(s33,plain,
~ spl29_8,
inference(rat,[],[s17,s32]) ).
cnf(s34,plain,
spl29_10,
inference(rat,[],[s31,s33]) ).
cnf(s35,plain,
spl29_38,
inference(rat,[],[s30,s14,s34]) ).
cnf(s36,plain,
spl29_5,
inference(rat,[],[s22,s34]) ).
cnf(s37,plain,
~ spl29_39,
inference(rat,[],[s26,s35,s36]) ).
cnf(s38,plain,
spl29_33,
inference(rat,[],[s24,s36]) ).
cnf(s39,plain,
spl29_4,
inference(rat,[],[s4,s36]) ).
cnf(s40,plain,
~ spl29_34,
inference(rat,[],[s28,s37,s38,s34,s14,s39]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s23,s38,s40,s39]) ).
fof(f950,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM580+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:34:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.82/1.79 % (3291564)Detected formulas, will run a generic FOF schedule.
% 5.82/1.79 % (3291574)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3985020022:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.82/1.79 % (3291569)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=1899092677:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.82/1.79 % (3291571)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=2657105011:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.82/1.79 % (3291572)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3409669234:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.82/1.79 % (3291570)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=97285756:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.82/1.79 % (3291573)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1509614569:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.82/1.79 % (3291575)dis-21_1_sil=8000:lcm=predicate:random_seed=1635947921:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.82/1.79 % (3291574)Instruction limit reached!
% 5.82/1.79 % (3291574)------------------------------
% 5.82/1.79 % (3291574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291574)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291574)Termination reason: Instruction limit
% 5.82/1.79 % (3291574)Termination phase: Saturation
% 5.82/1.79 % (3291574)Time elapsed: 0.055 s
% 5.82/1.79 % (3291574)Peak memory usage: 90 MB
% 5.82/1.79 % (3291574)Instructions burned: 140 (million)
% 5.82/1.79 % (3291572)Instruction limit reached!
% 5.82/1.79 % (3291572)------------------------------
% 5.82/1.79 % (3291572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291572)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291572)Termination reason: Instruction limit
% 5.82/1.79 % (3291572)Termination phase: Saturation
% 5.82/1.79 % (3291572)Time elapsed: 0.071 s
% 5.82/1.79 % (3291572)Peak memory usage: 89 MB
% 5.82/1.79 % (3291572)Instructions burned: 109 (million)
% 5.82/1.79 % (3291575)Instruction limit reached!
% 5.82/1.79 % (3291575)------------------------------
% 5.82/1.79 % (3291575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291575)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291575)Termination reason: Instruction limit
% 5.82/1.79 % (3291575)Termination phase: Saturation
% 5.82/1.79 % (3291575)Time elapsed: 0.064 s
% 5.82/1.79 % (3291575)Peak memory usage: 89 MB
% 5.82/1.79 % (3291575)Instructions burned: 130 (million)
% 5.82/1.79 % (3291573)Instruction limit reached!
% 5.82/1.79 % (3291573)------------------------------
% 5.82/1.79 % (3291573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291573)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291573)Termination reason: Instruction limit
% 5.82/1.79 % (3291573)Termination phase: Saturation
% 5.82/1.79 % (3291573)Time elapsed: 0.073 s
% 5.82/1.79 % (3291573)Peak memory usage: 89 MB
% 5.82/1.79 % (3291573)Instructions burned: 119 (million)
% 5.82/1.79 % (3291583)lrs+10_1_sil=8000:sp=occurrence:random_seed=1679131530:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.82/1.79 % (3291585)lrs+1011_1_sil=32000:sp=occurrence:random_seed=824910927:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.82/1.79 % (3291584)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1717054942:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.82/1.79 % (3291586)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=3040399385:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.82/1.79 % (3291584)Refutation not found, incomplete strategy
% 5.82/1.79 % (3291584)------------------------------
% 5.82/1.79 % (3291584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291584)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291584)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.79 % (3291584)Time elapsed: 0.005 s
% 5.82/1.79 % (3291584)Peak memory usage: 89 MB
% 5.82/1.79 % (3291584)Instructions burned: 7 (million)
% 5.82/1.79 % (3291583)Instruction limit reached!
% 5.82/1.79 % (3291583)------------------------------
% 5.82/1.79 % (3291583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291583)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291583)Termination reason: Instruction limit
% 5.82/1.79 % (3291583)Termination phase: Saturation
% 5.82/1.79 % (3291583)Time elapsed: 0.101 s
% 5.82/1.79 % (3291583)Peak memory usage: 92 MB
% 5.82/1.79 % (3291583)Instructions burned: 287 (million)
% 5.82/1.79 % (3291591)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2794071192:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.82/1.79 % (3291586)Instruction limit reached!
% 5.82/1.79 % (3291586)------------------------------
% 5.82/1.79 % (3291586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291586)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291586)Termination reason: Instruction limit
% 5.82/1.79 % (3291586)Termination phase: Saturation
% 5.82/1.79 % (3291586)Time elapsed: 0.147 s
% 5.82/1.79 % (3291586)Peak memory usage: 92 MB
% 5.82/1.79 % (3291586)Instructions burned: 250 (million)
% 5.82/1.79 % (3291591)Instruction limit reached!
% 5.82/1.79 % (3291591)------------------------------
% 5.82/1.79 % (3291591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291591)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291591)Termination reason: Instruction limit
% 5.82/1.79 % (3291591)Termination phase: Saturation
% 5.82/1.79 % (3291591)Time elapsed: 0.093 s
% 5.82/1.79 % (3291591)Peak memory usage: 89 MB
% 5.82/1.79 % (3291591)Instructions burned: 297 (million)
% 5.82/1.79 % (3291585)Instruction limit reached!
% 5.82/1.79 % (3291585)------------------------------
% 5.82/1.79 % (3291585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291585)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291585)Termination reason: Instruction limit
% 5.82/1.79 % (3291585)Termination phase: Saturation
% 5.82/1.79 % (3291585)Time elapsed: 0.229 s
% 5.82/1.79 % (3291585)Peak memory usage: 92 MB
% 5.82/1.79 % (3291585)Instructions burned: 325 (million)
% 5.82/1.79 % (3291584)------------------------------
% 5.82/1.79 % (3291584)------------------------------
% 5.82/1.79 % (3291594)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=161803773:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.82/1.79 % (3291593)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=826418771:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.82/1.79 % (3291594)Instruction limit reached!
% 5.82/1.79 % (3291594)------------------------------
% 5.82/1.79 % (3291594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291594)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291594)Termination reason: Instruction limit
% 5.82/1.79 % (3291594)Termination phase: Saturation
% 5.82/1.79 % (3291594)Time elapsed: 0.041 s
% 5.82/1.79 % (3291594)Peak memory usage: 91 MB
% 5.82/1.79 % (3291594)Instructions burned: 113 (million)
% 5.82/1.79 % (3291595)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2553303547:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.82/1.79 % (3291596)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1722436445:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.82/1.79 % (3291569)First to succeed.
% 5.82/1.79 % (3291569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3291564"
% 5.82/1.79 % (3291595)Instruction limit reached!
% 5.82/1.79 % (3291595)------------------------------
% 5.82/1.79 % (3291595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291595)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291595)Termination reason: Instruction limit
% 5.82/1.79 % (3291595)Termination phase: Saturation
% 5.82/1.79 % (3291595)Time elapsed: 0.069 s
% 5.82/1.79 % (3291595)Peak memory usage: 89 MB
% 5.82/1.79 % (3291595)Instructions burned: 127 (million)
% 5.82/1.79 % (3291599)lrs+10_1_sil=8000:sp=occurrence:random_seed=1070090576:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.82/1.79 % (3291596)Instruction limit reached!
% 5.82/1.79 % (3291596)------------------------------
% 5.82/1.79 % (3291596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (3291596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (3291596)CaDiCaL version: 2.1.3
% 5.82/1.79 % (3291596)Termination reason: Instruction limit
% 5.82/1.79 % (3291596)Termination phase: Saturation
% 5.82/1.79 % (3291596)Time elapsed: 0.068 s
% 5.82/1.79 % (3291596)Peak memory usage: 89 MB
% 5.82/1.79 % (3291596)Instructions burned: 114 (million)
% 5.82/1.79 % (3291602)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=681798929:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.82/1.79 % (3291569)Refutation found. Thanks to Tanya!
% 5.82/1.79 % SZS status Theorem for theBenchmark
% 5.82/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 7.16/1.98 % (3291569)------------------------------
% 7.16/1.98 % (3291569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.98 % (3291569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.98 % (3291569)CaDiCaL version: 2.1.3
% 7.16/1.98 % (3291569)Termination reason: Refutation
% 7.16/1.98 % (3291569)Time elapsed: 0.618 s
% 7.16/1.98 % (3291569)Peak memory usage: 131 MB
% 7.16/1.98 % (3291569)Instructions burned: 1036 (million)
% 7.16/1.98 % (3291569)------------------------------
% 7.16/1.98 % (3291569)------------------------------
% 7.16/1.98 % (3291564)Success in time 0.932 s
% 7.16/1.98 % Vampire exiting
%------------------------------------------------------------------------------