%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM577+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 : n009.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 12:15:49 PM UTC 2026
% Result : Theorem 6.83s 2.00s
% Output : Refutation 8.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 33
% Syntax : Number of formulae : 217 ( 42 unt; 19 def)
% Number of atoms : 734 ( 102 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 875 ( 358 ~; 358 |; 114 &)
% ( 27 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-3 aty)
% Number of variables : 191 ( 0 sgn 178 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
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(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
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(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
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(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f86,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3904) ).
fof(f87,conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& szmzizndt0(sdtlpdtrp0(xN,xm)) != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f88,negated_conjecture,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& szmzizndt0(sdtlpdtrp0(xN,xm)) != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f97,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f100,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f101,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f108,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f109,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(flattening,[],[f108]) ).
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(f125,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
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(f197,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f198,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f197]) ).
fof(f199,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f200,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f200]) ).
fof(f204,plain,
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(ennf_transformation,[],[f88]) ).
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,[],[f113,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,[],[f97]) ).
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,[],[f102]) ).
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(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,[],[f156]) ).
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(f271,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
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,[],[f101]) ).
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(f285,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f109]) ).
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(f320,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f346,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f431,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f435,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f436,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f437,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f441,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f442,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f443,plain,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnf_transformation,[],[f204]) ).
fof(f444,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f204]) ).
fof(f445,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f273]) ).
fof(f447,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f277]) ).
fof(f450,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f298]) ).
fof(f451,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f300]) ).
fof(f453,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f346]) ).
fof(f482,definition,
sF25 = sdtlpdtrp0(xN,xm),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f483,plain,
sdtlpdtrp0(xN,xm) = sF25,
inference(reorient_equations,[],[f482]) ).
fof(f484,definition,
sF26 = sdtlpdtrp0(xN,xn),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f485,plain,
sdtlpdtrp0(xN,xn) = sF26,
inference(reorient_equations,[],[f484]) ).
fof(f486,definition,
sF27 = szmzizndt0(sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f487,plain,
szmzizndt0(sF26) = sF27,
inference(reorient_equations,[],[f486]) ).
fof(f488,definition,
sF28 = sdtmndt0(sF26,sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f489,plain,
sdtmndt0(sF26,sF27) = sF28,
inference(reorient_equations,[],[f488]) ).
fof(f490,definition,
sF29 = szmzizndt0(sF25),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f491,plain,
szmzizndt0(sF25) = sF29,
inference(reorient_equations,[],[f490]) ).
fof(f492,plain,
( ~ aSubsetOf0(sF25,sF28)
| sF27 = sF29 ),
inference(definition_folding,[],[f444,f491,f483,f487,f485,f489,f487,f485,f485,f483]) ).
fof(f493,definition,
sF30 = szszuzczcdt0(xn),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f494,plain,
szszuzczcdt0(xn) = sF30,
inference(reorient_equations,[],[f493]) ).
fof(f495,plain,
sdtlseqdt0(sF30,xm),
inference(definition_folding,[],[f443,f494]) ).
fof(f498,definition,
( spl31_1
<=> sF27 = sF29 ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f500,plain,
( sF27 = sF29
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl31_2
<=> aSubsetOf0(sF25,sF28) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f503,plain,
( aSubsetOf0(sF25,sF28)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( ~ aSubsetOf0(sF25,sF28)
| spl31_2 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f492,f502,f498]) ).
fof(f520,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f431,f436]) ).
fof(f522,definition,
( spl31_6
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f531,definition,
( spl31_8
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f533,plain,
( ~ isCountable0(slcrc0)
| spl31_8 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f534,plain,
( ~ spl31_8
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f447,f522,f531]) ).
fof(f535,plain,
spl31_6,
inference(avatar_split_clause,[],[f445,f522]) ).
fof(f537,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f520,f435]) ).
fof(f602,definition,
( spl31_17
<=> aElementOf0(sF30,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).
fof(f603,plain,
( aElementOf0(sF30,szNzAzT0)
| ~ spl31_17 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f604,plain,
( ~ aElementOf0(sF30,szNzAzT0)
| spl31_17 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f614,plain,
( aSubsetOf0(sF25,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[],[f436,f483]) ).
fof(f615,plain,
( aSubsetOf0(sF26,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f436,f485]) ).
fof(f617,plain,
aSubsetOf0(sF26,szNzAzT0),
inference(forward_subsumption_resolution,[],[f615,f442]) ).
fof(f618,plain,
aSubsetOf0(sF25,szNzAzT0),
inference(forward_subsumption_resolution,[],[f614,f441]) ).
fof(f619,plain,
( aElementOf0(sF27,sF26)
| ~ aSubsetOf0(sF26,szNzAzT0)
| slcrc0 = sF26 ),
inference(superposition,[],[f453,f487]) ).
fof(f622,plain,
( aElementOf0(sF27,sF26)
| slcrc0 = sF26 ),
inference(forward_subsumption_resolution,[],[f619,f617]) ).
fof(f624,definition,
( spl31_20
<=> slcrc0 = sF25 ),
introduced(definition,[new_symbols(definition,[spl31_20])],[avatar_definition]) ).
fof(f625,plain,
( slcrc0 != sF25
| spl31_20 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f626,plain,
( slcrc0 = sF25
| ~ spl31_20 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f633,definition,
( spl31_22
<=> slcrc0 = sF26 ),
introduced(definition,[new_symbols(definition,[spl31_22])],[avatar_definition]) ).
fof(f635,plain,
( slcrc0 = sF26
| ~ spl31_22 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f637,definition,
( spl31_23
<=> aElementOf0(sF27,sF26) ),
introduced(definition,[new_symbols(definition,[spl31_23])],[avatar_definition]) ).
fof(f639,plain,
( aElementOf0(sF27,sF26)
| ~ spl31_23 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f640,plain,
( spl31_22
| spl31_23 ),
inference(avatar_split_clause,[],[f622,f637,f633]) ).
fof(f654,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sF26,szmzizndt0(sF26)))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f537,f485]) ).
fof(f657,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sF26,szmzizndt0(sF26))),
inference(forward_subsumption_resolution,[],[f654,f442]) ).
fof(f660,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sF26,sF27)),
inference(forward_demodulation,[],[f657,f487]) ).
fof(f663,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sF28),
inference(forward_demodulation,[],[f660,f489]) ).
fof(f665,plain,
aSubsetOf0(sdtlpdtrp0(xN,sF30),sF28),
inference(forward_demodulation,[],[f663,f494]) ).
fof(f742,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f279,f436]) ).
fof(f745,plain,
( aSet0(sdtlpdtrp0(xN,sF30))
| ~ aSet0(sF28) ),
inference(resolution,[],[f279,f665]) ).
fof(f749,plain,
( aSet0(sF26)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f279,f617]) ).
fof(f752,plain,
aSet0(sF26),
inference(forward_subsumption_resolution,[],[f749,f317]) ).
fof(f763,definition,
( spl31_36
<=> aSet0(sF28) ),
introduced(definition,[new_symbols(definition,[spl31_36])],[avatar_definition]) ).
fof(f764,plain,
( aSet0(sF28)
| ~ spl31_36 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f765,plain,
( ~ aSet0(sF28)
| spl31_36 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f767,definition,
( spl31_37
<=> aSet0(sdtlpdtrp0(xN,sF30)) ),
introduced(definition,[new_symbols(definition,[spl31_37])],[avatar_definition]) ).
fof(f769,plain,
( aSet0(sdtlpdtrp0(xN,sF30))
| ~ spl31_37 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f770,plain,
( ~ spl31_36
| spl31_37 ),
inference(avatar_split_clause,[],[f745,f767,f763]) ).
fof(f780,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f742,f317]) ).
fof(f796,plain,
( aElementOf0(sF30,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f320,f494]) ).
fof(f797,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f796,f604]) ).
fof(f798,plain,
( $false
| spl31_17 ),
inference(forward_subsumption_resolution,[],[f797,f442]) ).
fof(f799,plain,
spl31_17,
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f812,plain,
( isCountable0(sF25)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[],[f435,f483]) ).
fof(f813,plain,
( isCountable0(sF26)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f435,f485]) ).
fof(f815,plain,
isCountable0(sF26),
inference(forward_subsumption_resolution,[],[f813,f442]) ).
fof(f816,plain,
isCountable0(sF25),
inference(forward_subsumption_resolution,[],[f812,f441]) ).
fof(f817,plain,
( isCountable0(slcrc0)
| ~ spl31_22 ),
inference(forward_demodulation,[],[f815,f635]) ).
fof(f818,plain,
( $false
| spl31_8
| ~ spl31_22 ),
inference(forward_subsumption_resolution,[],[f817,f533]) ).
fof(f819,plain,
( spl31_8
| ~ spl31_22 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f821,definition,
( spl31_43
<=> sP3(sF27,sF26) ),
introduced(definition,[new_symbols(definition,[spl31_43])],[avatar_definition]) ).
fof(f822,plain,
( sP3(sF27,sF26)
| ~ spl31_43 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f823,plain,
( ~ sP3(sF27,sF26)
| spl31_43 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f842,plain,
! [X0] :
( ~ aElementOf0(X0,sF26)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f278,f617]) ).
fof(f846,plain,
! [X0] :
( ~ aElementOf0(X0,sF26)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f842,f317]) ).
fof(f1009,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f304,f450]) ).
fof(f1011,plain,
( aSet0(sF28)
| ~ sP3(sF27,sF26) ),
inference(superposition,[],[f1009,f489]) ).
fof(f1053,plain,
( aElementOf0(sF27,szNzAzT0)
| ~ spl31_23 ),
inference(resolution,[],[f846,f639]) ).
fof(f1257,plain,
( isCountable0(slcrc0)
| ~ spl31_20 ),
inference(superposition,[],[f816,f626]) ).
fof(f1262,plain,
( $false
| spl31_8
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1257,f533]) ).
fof(f1263,plain,
( spl31_8
| ~ spl31_20 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1379,plain,
! [X0] :
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,sF30))
| aSubsetOf0(X0,sF28)
| ~ aSet0(X0)
| ~ aSet0(sdtlpdtrp0(xN,sF30))
| ~ aSet0(sF28) ),
inference(resolution,[],[f285,f665]) ).
fof(f1496,plain,
( ~ aSet0(sF26)
| ~ aElement0(sF27)
| spl31_43 ),
inference(resolution,[],[f309,f823]) ).
fof(f1501,plain,
( ~ aElement0(sF27)
| spl31_43 ),
inference(forward_subsumption_resolution,[],[f1496,f752]) ).
fof(f1502,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f451,f450]) ).
fof(f1503,plain,
( ~ aElementOf0(sF27,sF28)
| ~ sP3(sF27,sF26) ),
inference(superposition,[],[f1502,f489]) ).
fof(f1575,plain,
( aElement0(sF27)
| ~ aSet0(szNzAzT0)
| ~ spl31_23 ),
inference(resolution,[],[f271,f1053]) ).
fof(f1634,plain,
( ~ aSet0(szNzAzT0)
| ~ spl31_23
| spl31_43 ),
inference(forward_subsumption_resolution,[],[f1575,f1501]) ).
fof(f1638,plain,
( $false
| ~ spl31_23
| spl31_43 ),
inference(forward_subsumption_resolution,[],[f1634,f317]) ).
fof(f1639,plain,
( ~ spl31_23
| spl31_43 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1640,plain,
( ~ sP3(sF27,sF26)
| spl31_36 ),
inference(forward_subsumption_resolution,[],[f1011,f765]) ).
fof(f1641,plain,
( ~ aElementOf0(sF27,sF28)
| ~ spl31_43 ),
inference(forward_subsumption_resolution,[],[f1503,f822]) ).
fof(f1644,plain,
( $false
| spl31_36
| ~ spl31_43 ),
inference(forward_subsumption_resolution,[],[f1640,f822]) ).
fof(f1645,plain,
( spl31_36
| ~ spl31_43 ),
inference(avatar_contradiction_clause,[],[f1644]) ).
fof(f1648,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,sF30))
| aSubsetOf0(X0,sF28)
| ~ aSet0(X0)
| ~ aSet0(sF28) )
| ~ spl31_37 ),
inference(forward_subsumption_resolution,[],[f1379,f769]) ).
fof(f1650,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,sF30))
| aSubsetOf0(X0,sF28)
| ~ aSet0(X0) )
| ~ spl31_36
| ~ spl31_37 ),
inference(forward_subsumption_resolution,[],[f1648,f764]) ).
fof(f1674,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sF28)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(sF30,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sF30,szNzAzT0) )
| ~ spl31_36
| ~ spl31_37 ),
inference(resolution,[],[f1650,f437]) ).
fof(f1679,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sF28)
| ~ sdtlseqdt0(sF30,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sF30,szNzAzT0) )
| ~ spl31_36
| ~ spl31_37 ),
inference(forward_subsumption_resolution,[],[f1674,f780]) ).
fof(f1680,plain,
( ! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sF28)
| ~ sdtlseqdt0(sF30,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl31_17
| ~ spl31_36
| ~ spl31_37 ),
inference(forward_subsumption_resolution,[],[f1679,f603]) ).
fof(f1684,plain,
( aSubsetOf0(sF25,sF28)
| ~ sdtlseqdt0(sF30,xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ spl31_17
| ~ spl31_36
| ~ spl31_37 ),
inference(superposition,[],[f1680,f483]) ).
fof(f1688,plain,
( ~ sdtlseqdt0(sF30,xm)
| ~ aElementOf0(xm,szNzAzT0)
| spl31_2
| ~ spl31_17
| ~ spl31_36
| ~ spl31_37 ),
inference(forward_subsumption_resolution,[],[f1684,f504]) ).
fof(f1700,plain,
( ~ aElementOf0(xm,szNzAzT0)
| spl31_2
| ~ spl31_17
| ~ spl31_36
| ~ spl31_37 ),
inference(forward_subsumption_resolution,[],[f1688,f495]) ).
fof(f1702,plain,
( $false
| spl31_2
| ~ spl31_17
| ~ spl31_36
| ~ spl31_37 ),
inference(forward_subsumption_resolution,[],[f1700,f441]) ).
fof(f1703,plain,
( spl31_2
| ~ spl31_17
| ~ spl31_36
| ~ spl31_37 ),
inference(avatar_contradiction_clause,[],[f1702]) ).
fof(f1715,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,sF28)
| ~ aSet0(sF28) )
| ~ spl31_2 ),
inference(resolution,[],[f503,f278]) ).
fof(f1717,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF25)
| aElementOf0(X0,sF28) )
| ~ spl31_2
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f1715,f764]) ).
fof(f1730,plain,
( aElementOf0(szmzizndt0(sF25),sF28)
| ~ aSubsetOf0(sF25,szNzAzT0)
| slcrc0 = sF25
| ~ spl31_2
| ~ spl31_36 ),
inference(resolution,[],[f1717,f453]) ).
fof(f1733,plain,
( aElementOf0(szmzizndt0(sF25),sF28)
| slcrc0 = sF25
| ~ spl31_2
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f1730,f618]) ).
fof(f1737,plain,
( aElementOf0(szmzizndt0(sF25),sF28)
| ~ spl31_2
| spl31_20
| ~ spl31_36 ),
inference(forward_subsumption_resolution,[],[f1733,f625]) ).
fof(f1740,plain,
( aElementOf0(sF29,sF28)
| ~ spl31_2
| spl31_20
| ~ spl31_36 ),
inference(forward_demodulation,[],[f1737,f491]) ).
fof(f1741,plain,
( aElementOf0(sF27,sF28)
| ~ spl31_1
| ~ spl31_2
| spl31_20
| ~ spl31_36 ),
inference(forward_demodulation,[],[f1740,f500]) ).
fof(f1742,plain,
( $false
| ~ spl31_1
| ~ spl31_2
| spl31_20
| ~ spl31_36
| ~ spl31_43 ),
inference(forward_subsumption_resolution,[],[f1741,f1641]) ).
fof(f1743,plain,
( ~ spl31_1
| ~ spl31_2
| spl31_20
| ~ spl31_36
| ~ spl31_43 ),
inference(avatar_contradiction_clause,[],[f1742]) ).
cnf(s1,plain,
( spl31_1
| ~ spl31_2 ),
inference(sat_conversion,[],[f505]) ).
cnf(s4,plain,
( ~ spl31_6
| ~ spl31_8 ),
inference(sat_conversion,[],[f534]) ).
cnf(s5,plain,
spl31_6,
inference(sat_conversion,[],[f535]) ).
cnf(s12,plain,
( spl31_22
| spl31_23 ),
inference(sat_conversion,[],[f640]) ).
cnf(s20,plain,
( ~ spl31_36
| spl31_37 ),
inference(sat_conversion,[],[f770]) ).
cnf(s24,plain,
spl31_17,
inference(sat_conversion,[],[f799]) ).
cnf(s26,plain,
( spl31_8
| ~ spl31_22 ),
inference(sat_conversion,[],[f819]) ).
cnf(s50,plain,
( spl31_8
| ~ spl31_20 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s78,plain,
( ~ spl31_23
| spl31_43 ),
inference(sat_conversion,[],[f1639]) ).
cnf(s79,plain,
( spl31_36
| ~ spl31_43 ),
inference(sat_conversion,[],[f1645]) ).
cnf(s82,plain,
( spl31_2
| ~ spl31_17
| ~ spl31_36
| ~ spl31_37 ),
inference(sat_conversion,[],[f1703]) ).
cnf(s87,plain,
( ~ spl31_1
| ~ spl31_2
| spl31_20
| ~ spl31_36
| ~ spl31_43 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s98,plain,
~ spl31_8,
inference(rat,[],[s4,s5]) ).
cnf(s99,plain,
~ spl31_20,
inference(rat,[],[s50,s98]) ).
cnf(s100,plain,
~ spl31_22,
inference(rat,[],[s26,s98]) ).
cnf(s104,plain,
spl31_23,
inference(rat,[],[s12,s100]) ).
cnf(s106,plain,
spl31_43,
inference(rat,[],[s78,s104]) ).
cnf(s108,plain,
spl31_36,
inference(rat,[],[s79,s106]) ).
cnf(s110,plain,
spl31_37,
inference(rat,[],[s20,s108]) ).
cnf(s111,plain,
spl31_2,
inference(rat,[],[s82,s108,s24,s110]) ).
cnf(s112,plain,
~ spl31_1,
inference(rat,[],[s87,s106,s108,s99,s111]) ).
cnf(s116,plain,
$false,
inference(rat,[],[s1,s111,s112]) ).
fof(f1744,plain,
$false,
inference(avatar_sat_refutation,[],[s116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM577+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 20:35:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 6.83/2.00 % (2376978)Detected formulas, will run a generic FOF schedule.
% 6.83/2.00 % (2376986)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1200807124:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.83/2.00 % (2376986)Instruction limit reached!
% 6.83/2.00 % (2376986)------------------------------
% 6.83/2.00 % (2376986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2376986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2376986)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2376986)Termination reason: Instruction limit
% 6.83/2.00 % (2376986)Termination phase: Saturation
% 6.83/2.00 % (2376986)Time elapsed: 0.041 s
% 6.83/2.00 % (2376986)Peak memory usage: 89 MB
% 6.83/2.00 % (2376986)Instructions burned: 110 (million)
% 6.83/2.00 % (2376987)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1803943029:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.83/2.00 % (2376989)dis-21_1_sil=8000:lcm=predicate:random_seed=2427404420: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)
% 6.83/2.00 % (2376988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1323689651:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.83/2.00 % (2376985)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=4073682585:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.83/2.00 % (2376984)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=3232681956:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.83/2.00 % (2376983)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=343600453:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.83/2.00 % (2376989)Instruction limit reached!
% 6.83/2.00 % (2376989)------------------------------
% 6.83/2.00 % (2376989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2376989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2376989)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2376989)Termination reason: Instruction limit
% 6.83/2.00 % (2376989)Termination phase: Saturation
% 6.83/2.00 % (2376989)Time elapsed: 0.061 s
% 6.83/2.00 % (2376989)Peak memory usage: 88 MB
% 6.83/2.00 % (2376989)Instructions burned: 129 (million)
% 6.83/2.00 % (2376987)Instruction limit reached!
% 6.83/2.00 % (2376987)------------------------------
% 6.83/2.00 % (2376987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2376987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2376987)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2376987)Termination reason: Instruction limit
% 6.83/2.00 % (2376987)Termination phase: Saturation
% 6.83/2.00 % (2376987)Time elapsed: 0.071 s
% 6.83/2.00 % (2376987)Peak memory usage: 88 MB
% 6.83/2.00 % (2376987)Instructions burned: 119 (million)
% 6.83/2.00 % (2376997)lrs+10_1_sil=8000:sp=occurrence:random_seed=2981625232:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.83/2.00 % (2376988)Instruction limit reached!
% 6.83/2.00 % (2376988)------------------------------
% 6.83/2.00 % (2376988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2376988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2376988)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2376988)Termination reason: Instruction limit
% 6.83/2.00 % (2376988)Termination phase: Saturation
% 6.83/2.00 % (2376988)Time elapsed: 0.101 s
% 6.83/2.00 % (2376988)Peak memory usage: 90 MB
% 6.83/2.00 % (2376988)Instructions burned: 140 (million)
% 6.83/2.00 % (2376998)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4141151418:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.83/2.00 % (2376997)Instruction limit reached!
% 6.83/2.00 % (2376997)------------------------------
% 6.83/2.00 % (2376997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2376997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2376997)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2376997)Termination reason: Instruction limit
% 6.83/2.00 % (2376997)Termination phase: Saturation
% 6.83/2.00 % (2376997)Time elapsed: 0.103 s
% 6.83/2.00 % (2376997)Peak memory usage: 92 MB
% 6.83/2.00 % (2376997)Instructions burned: 285 (million)
% 6.83/2.00 % (2376998)Refutation not found, incomplete strategy
% 6.83/2.00 % (2376998)------------------------------
% 6.83/2.00 % (2376998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2376998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2376998)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2376998)Termination reason: Refutation not found, incomplete strategy
% 6.83/2.00 % (2376998)Time elapsed: 0.007 s
% 6.83/2.00 % (2376998)Peak memory usage: 89 MB
% 6.83/2.00 % (2376998)Instructions burned: 8 (million)
% 6.83/2.00 % (2376999)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2101548506:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.83/2.00 % (2377001)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=1685456290:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.83/2.00 % (2377003)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1526999842:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.83/2.00 % (2377001)Instruction limit reached!
% 6.83/2.00 % (2377001)------------------------------
% 6.83/2.00 % (2377001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2377001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2377001)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2377001)Termination reason: Instruction limit
% 6.83/2.00 % (2377001)Termination phase: Saturation
% 6.83/2.00 % (2377001)Time elapsed: 0.148 s
% 6.83/2.00 % (2377001)Peak memory usage: 92 MB
% 6.83/2.00 % (2377001)Instructions burned: 249 (million)
% 6.83/2.00 % (2377003)Instruction limit reached!
% 6.83/2.00 % (2377003)------------------------------
% 6.83/2.00 % (2377003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2377003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2377003)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2377003)Termination reason: Instruction limit
% 6.83/2.00 % (2377003)Termination phase: Saturation
% 6.83/2.00 % (2377003)Time elapsed: 0.096 s
% 6.83/2.00 % (2377003)Peak memory usage: 90 MB
% 6.83/2.00 % (2377003)Instructions burned: 298 (million)
% 6.83/2.00 % (2376999)Instruction limit reached!
% 6.83/2.00 % (2376999)------------------------------
% 6.83/2.00 % (2376999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2376999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2376999)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2376999)Termination reason: Instruction limit
% 6.83/2.00 % (2376999)Termination phase: Saturation
% 6.83/2.00 % (2376999)Time elapsed: 0.221 s
% 6.83/2.00 % (2376999)Peak memory usage: 91 MB
% 6.83/2.00 % (2376999)Instructions burned: 326 (million)
% 6.83/2.00 % (2376998)------------------------------
% 6.83/2.00 % (2376998)------------------------------
% 6.83/2.00 % (2377008)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2243290602:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.83/2.00 % (2377008)Instruction limit reached!
% 6.83/2.00 % (2377008)------------------------------
% 6.83/2.00 % (2377008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2377008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2377008)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2377008)Termination reason: Instruction limit
% 6.83/2.00 % (2377008)Termination phase: Saturation
% 6.83/2.00 % (2377008)Time elapsed: 0.042 s
% 6.83/2.00 % (2377008)Peak memory usage: 91 MB
% 6.83/2.00 % (2377008)Instructions burned: 115 (million)
% 6.83/2.00 % (2377007)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1760145091:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.83/2.00 % (2377009)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1054291584:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.83/2.00 % (2377010)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1714649489:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.83/2.00 % (2377012)lrs+10_1_sil=8000:sp=occurrence:random_seed=1840617752:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.83/2.00 % (2377009)Instruction limit reached!
% 6.83/2.00 % (2377009)------------------------------
% 6.83/2.00 % (2377009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2377009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2377009)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2377009)Termination reason: Instruction limit
% 6.83/2.00 % (2377009)Termination phase: Saturation
% 6.83/2.00 % (2377009)Time elapsed: 0.067 s
% 6.83/2.00 % (2377009)Peak memory usage: 89 MB
% 6.83/2.00 % (2377009)Instructions burned: 127 (million)
% 6.83/2.00 % (2377010)Instruction limit reached!
% 6.83/2.00 % (2377010)------------------------------
% 6.83/2.00 % (2377010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2377010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2377010)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2377010)Termination reason: Instruction limit
% 6.83/2.00 % (2377010)Termination phase: Saturation
% 6.83/2.00 % (2377010)Time elapsed: 0.069 s
% 6.83/2.00 % (2377010)Peak memory usage: 89 MB
% 6.83/2.00 % (2377010)Instructions burned: 115 (million)
% 6.83/2.00 % (2377017)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1713426621:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.83/2.00 % (2376983)First to succeed.
% 6.83/2.00 % (2376983)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2376978"
% 6.83/2.00 % (2377018)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3460401186:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.83/2.00 % (2377012)Instruction limit reached!
% 6.83/2.00 % (2377012)------------------------------
% 6.83/2.00 % (2377012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/2.00 % (2377012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/2.00 % (2377012)CaDiCaL version: 2.1.3
% 6.83/2.00 % (2377012)Termination reason: Instruction limit
% 6.83/2.00 % (2377012)Termination phase: Saturation
% 6.83/2.00 % (2377012)Time elapsed: 0.308 s
% 6.83/2.00 % (2377012)Peak memory usage: 98 MB
% 6.83/2.00 % (2377012)Instructions burned: 907 (million)
% 6.83/2.00 % (2377021)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3856946989:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.83/2.00 % (2376983)Refutation found. Thanks to Tanya!
% 6.83/2.00 % SZS status Theorem for theBenchmark
% 6.83/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 8.71/2.09 % (2376983)------------------------------
% 8.71/2.09 % (2376983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.09 % (2376983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.09 % (2376983)CaDiCaL version: 2.1.3
% 8.71/2.09 % (2376983)Termination reason: Refutation
% 8.71/2.09 % (2376983)Time elapsed: 0.760 s
% 8.71/2.09 % (2376983)Peak memory usage: 131 MB
% 8.71/2.09 % (2376983)Instructions burned: 1124 (million)
% 8.71/2.09 % (2376983)------------------------------
% 8.71/2.09 % (2376983)------------------------------
% 8.71/2.09 % (2376978)Success in time 1.165 s
% 8.71/2.09 % Vampire exiting
%------------------------------------------------------------------------------