%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM569+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 : n011.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 12:15:47 PM UTC 2026
% Result : Theorem 7.62s 1.96s
% Output : Refutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 32
% Syntax : Number of formulae : 251 ( 29 unt; 19 def)
% Number of atoms : 954 ( 102 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1215 ( 512 ~; 527 |; 123 &)
% ( 31 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 16 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 231 ( 0 sgn 213 !; 18 ?)
% 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(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
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,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( iLess0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f83,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( iLess0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f82]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f92,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f95,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f96,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f103,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f104,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(flattening,[],[f103]) ).
fof(f107,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(f108,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,[],[f107]) ).
fof(f123,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f124,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f123]) ).
fof(f138,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f150,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(f151,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f150]) ).
fof(f192,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(f193,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,[],[f192]) ).
fof(f194,plain,
? [X0] :
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& ! [X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
| ~ iLess0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f195,plain,
? [X0] :
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0)) )
& ! [X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
| ~ iLess0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f194]) ).
fof(f199,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(f200,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(f201,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f108,f200,f199]) ).
fof(f202,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f203,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f203]) ).
fof(f205,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))],[f204]) ).
fof(f206,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,[],[f97]) ).
fof(f207,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,[],[f206]) ).
fof(f208,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,[],[f207]) ).
fof(f209,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))],[f208]) ).
fof(f216,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,[],[f200]) ).
fof(f217,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,[],[f216]) ).
fof(f218,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,[],[f199]) ).
fof(f219,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,[],[f218]) ).
fof(f220,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,[],[f219]) ).
fof(f221,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))],[f220]) ).
fof(f222,plain,
! [X0] :
( X0 = sz00
| ( aElementOf0(sK8(X0),szNzAzT0)
& szszuzczcdt0(sK8(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f124]) ).
fof(f227,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,[],[f151]) ).
fof(f228,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,[],[f227]) ).
fof(f229,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,[],[f228]) ).
fof(f230,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))],[f229]) ).
fof(f262,plain,
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,sK25),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK25)) )
& ! [X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
| ~ iLess0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(sK25,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f195]) ).
fof(f263,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f265,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f205]) ).
fof(f269,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f270,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f271,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f272,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f273,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f290,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f293,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f301,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f309,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f314,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f222]) ).
fof(f315,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f326,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f338,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f230]) ).
fof(f409,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f410,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f422,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f423,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,[],[f193]) ).
fof(f424,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f193]) ).
fof(f427,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f262]) ).
fof(f428,plain,
! [X1] :
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ iLess0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f429,plain,
! [X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ iLess0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f430,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK25),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK25)) ),
inference(cnf_transformation,[],[f262]) ).
fof(f431,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f265]) ).
fof(f433,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f269]) ).
fof(f436,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f290]) ).
fof(f439,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f338]) ).
fof(f468,definition,
sF26 = sdtlpdtrp0(xN,sK25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f469,plain,
sdtlpdtrp0(xN,sK25) = sF26,
inference(reorient_equations,[],[f468]) ).
fof(f470,plain,
( ~ aSubsetOf0(sF26,szNzAzT0)
| ~ isCountable0(sF26) ),
inference(definition_folding,[],[f430,f469,f469]) ).
fof(f471,definition,
! [X1] : sF27(X1) = sdtlpdtrp0(xN,X1),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f472,plain,
! [X1] : sdtlpdtrp0(xN,X1) = sF27(X1),
inference(reorient_equations,[],[f471]) ).
fof(f473,plain,
! [X1] :
( aSubsetOf0(sF27(X1),szNzAzT0)
| ~ iLess0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(definition_folding,[],[f429,f472]) ).
fof(f474,plain,
! [X1] :
( ~ iLess0(X1,sK25)
| isCountable0(sF27(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(definition_folding,[],[f428,f472]) ).
fof(f477,definition,
( spl28_1
<=> isCountable0(sF26) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f479,plain,
( ~ isCountable0(sF26)
| spl28_1 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f481,definition,
( spl28_2
<=> aSubsetOf0(sF26,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f483,plain,
( ~ aSubsetOf0(sF26,szNzAzT0)
| spl28_2 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f484,plain,
( ~ spl28_1
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f470,f481,f477]) ).
fof(f486,definition,
( spl28_3
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f495,definition,
( spl28_5
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl28_5])],[avatar_definition]) ).
fof(f497,plain,
( ~ isCountable0(slcrc0)
| spl28_5 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f498,plain,
( ~ spl28_5
| ~ spl28_3 ),
inference(avatar_split_clause,[],[f433,f486,f495]) ).
fof(f499,plain,
spl28_3,
inference(avatar_split_clause,[],[f431,f486]) ).
fof(f501,plain,
sF26 = sF27(sK25),
inference(superposition,[],[f469,f472]) ).
fof(f505,plain,
! [X0] :
( ~ aSubsetOf0(sF27(X0),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sF27(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f422,f472]) ).
fof(f508,plain,
! [X0] :
( ~ aSubsetOf0(sF27(X0),szNzAzT0)
| isCountable0(sF27(szszuzczcdt0(X0)))
| ~ isCountable0(sF27(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f505,f472]) ).
fof(f517,plain,
! [X0] :
( ~ iLess0(X0,sK25)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(sF27(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f473,f271]) ).
fof(f521,plain,
! [X0] :
( ~ iLess0(X0,sK25)
| ~ aElementOf0(X0,szNzAzT0)
| aSet0(sF27(X0)) ),
inference(forward_subsumption_resolution,[],[f517,f309]) ).
fof(f530,plain,
! [X0] :
( isCountable0(sF27(szszuzczcdt0(X0)))
| ~ isCountable0(sF27(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ iLess0(X0,sK25)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f508,f473]) ).
fof(f533,plain,
! [X0] :
( isCountable0(sF27(szszuzczcdt0(X0)))
| ~ isCountable0(sF27(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ iLess0(X0,sK25) ),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f534,plain,
! [X0] :
( isCountable0(sF27(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ iLess0(X0,sK25) ),
inference(forward_subsumption_resolution,[],[f533,f474]) ).
fof(f535,plain,
( sK25 = szszuzczcdt0(sK8(sK25))
| sz00 = sK25 ),
inference(resolution,[],[f314,f427]) ).
fof(f540,definition,
( spl28_7
<=> sz00 = sK25 ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f541,plain,
( sz00 != sK25
| spl28_7 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f542,plain,
( sz00 = sK25
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f544,definition,
( spl28_8
<=> sK25 = szszuzczcdt0(sK8(sK25)) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f546,plain,
( sK25 = szszuzczcdt0(sK8(sK25))
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f547,plain,
( spl28_7
| spl28_8 ),
inference(avatar_split_clause,[],[f535,f544,f540]) ).
fof(f552,plain,
( sdtlpdtrp0(xN,sz00) = sF26
| ~ spl28_7 ),
inference(superposition,[],[f469,f542]) ).
fof(f553,plain,
( xS = sF26
| ~ spl28_7 ),
inference(forward_demodulation,[],[f552,f424]) ).
fof(f555,plain,
( ~ isCountable0(xS)
| spl28_1
| ~ spl28_7 ),
inference(superposition,[],[f479,f553]) ).
fof(f556,plain,
( $false
| spl28_1
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f555,f409]) ).
fof(f557,plain,
( spl28_1
| ~ spl28_7 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f558,plain,
( isCountable0(sF27(sK25))
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ iLess0(sK8(sK25),sK25)
| ~ spl28_8 ),
inference(superposition,[],[f534,f546]) ).
fof(f559,plain,
( iLess0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl28_8 ),
inference(superposition,[],[f326,f546]) ).
fof(f561,definition,
( spl28_9
<=> aElementOf0(sK8(sK25),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f562,plain,
( aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f563,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| spl28_9 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f565,definition,
( spl28_10
<=> iLess0(sK8(sK25),sK25) ),
introduced(definition,[new_symbols(definition,[spl28_10])],[avatar_definition]) ).
fof(f567,plain,
( iLess0(sK8(sK25),sK25)
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( ~ spl28_9
| spl28_10
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f559,f544,f565,f561]) ).
fof(f569,plain,
( isCountable0(sF26)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ iLess0(sK8(sK25),sK25)
| ~ spl28_8 ),
inference(forward_demodulation,[],[f558,f501]) ).
fof(f570,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ iLess0(sK8(sK25),sK25)
| spl28_1
| ~ spl28_8 ),
inference(forward_subsumption_resolution,[],[f569,f479]) ).
fof(f571,plain,
( ~ spl28_10
| ~ spl28_9
| spl28_1
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f570,f544,f477,f561,f565]) ).
fof(f572,plain,
( sz00 = sK25
| ~ aElementOf0(sK25,szNzAzT0)
| spl28_9 ),
inference(resolution,[],[f563,f315]) ).
fof(f573,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl28_7
| spl28_9 ),
inference(forward_subsumption_resolution,[],[f572,f541]) ).
fof(f574,plain,
( $false
| spl28_7
| spl28_9 ),
inference(forward_subsumption_resolution,[],[f573,f427]) ).
fof(f575,plain,
( spl28_7
| spl28_9 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f576,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| spl28_2
| ~ spl28_7 ),
inference(superposition,[],[f483,f553]) ).
fof(f577,plain,
( $false
| spl28_2
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f576,f410]) ).
fof(f578,plain,
( spl28_2
| ~ spl28_7 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f579,plain,
( isCountable0(sF27(sK8(sK25)))
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl28_10 ),
inference(resolution,[],[f567,f474]) ).
fof(f580,plain,
( isCountable0(sF27(sK8(sK25)))
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f579,f562]) ).
fof(f595,plain,
( aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(sK25)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK8(sK25)))
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl28_8 ),
inference(superposition,[],[f423,f546]) ).
fof(f603,plain,
( aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(sK25)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK8(sK25)))
| ~ spl28_8
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f595,f562]) ).
fof(f608,plain,
( aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(sK25)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK8(sK25)))
| ~ spl28_8
| ~ spl28_9 ),
inference(forward_demodulation,[],[f603,f472]) ).
fof(f613,plain,
( aSubsetOf0(sF26,sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,sK8(sK25)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sK8(sK25)))
| ~ spl28_8
| ~ spl28_9 ),
inference(forward_demodulation,[],[f608,f469]) ).
fof(f617,plain,
( ~ aSubsetOf0(sF27(sK8(sK25)),szNzAzT0)
| aSubsetOf0(sF26,sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| ~ isCountable0(sdtlpdtrp0(xN,sK8(sK25)))
| ~ spl28_8
| ~ spl28_9 ),
inference(forward_demodulation,[],[f613,f472]) ).
fof(f620,plain,
( ~ isCountable0(sF27(sK8(sK25)))
| ~ aSubsetOf0(sF27(sK8(sK25)),szNzAzT0)
| aSubsetOf0(sF26,sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| ~ spl28_8
| ~ spl28_9 ),
inference(forward_demodulation,[],[f617,f472]) ).
fof(f622,plain,
( ~ aSubsetOf0(sF27(sK8(sK25)),szNzAzT0)
| aSubsetOf0(sF26,sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f620,f580]) ).
fof(f624,definition,
( spl28_13
<=> aSubsetOf0(sF26,sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25))))) ),
introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).
fof(f626,plain,
( aSubsetOf0(sF26,sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f628,definition,
( spl28_14
<=> aSubsetOf0(sF27(sK8(sK25)),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl28_14])],[avatar_definition]) ).
fof(f629,plain,
( aSubsetOf0(sF27(sK8(sK25)),szNzAzT0)
| ~ spl28_14 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f630,plain,
( ~ aSubsetOf0(sF27(sK8(sK25)),szNzAzT0)
| spl28_14 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f631,plain,
( spl28_13
| ~ spl28_14
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f622,f565,f561,f544,f628,f624]) ).
fof(f632,plain,
( ~ iLess0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| spl28_14 ),
inference(resolution,[],[f630,f473]) ).
fof(f633,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl28_10
| spl28_14 ),
inference(forward_subsumption_resolution,[],[f632,f567]) ).
fof(f634,plain,
( $false
| ~ spl28_9
| ~ spl28_10
| spl28_14 ),
inference(forward_subsumption_resolution,[],[f633,f562]) ).
fof(f635,plain,
( ~ spl28_9
| ~ spl28_10
| spl28_14 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f637,plain,
( aSet0(sF26)
| ~ aSet0(sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| ~ spl28_13 ),
inference(resolution,[],[f626,f271]) ).
fof(f639,definition,
( spl28_15
<=> aSet0(sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25))))) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f641,plain,
( ~ aSet0(sdtmndt0(sF27(sK8(sK25)),szmzizndt0(sF27(sK8(sK25)))))
| spl28_15 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f643,definition,
( spl28_16
<=> aSet0(sF26) ),
introduced(definition,[new_symbols(definition,[spl28_16])],[avatar_definition]) ).
fof(f645,plain,
( aSet0(sF26)
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,plain,
( ~ spl28_15
| spl28_16
| ~ spl28_13 ),
inference(avatar_split_clause,[],[f637,f624,f643,f639]) ).
fof(f652,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27(sK8(sK25)))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) )
| ~ spl28_14 ),
inference(resolution,[],[f629,f270]) ).
fof(f653,plain,
( aSet0(sF27(sK8(sK25)))
| ~ aSet0(szNzAzT0)
| ~ spl28_14 ),
inference(resolution,[],[f629,f271]) ).
fof(f654,plain,
( aSet0(sF27(sK8(sK25)))
| ~ spl28_14 ),
inference(forward_subsumption_resolution,[],[f653,f309]) ).
fof(f655,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27(sK8(sK25)))
| aElementOf0(X0,szNzAzT0) )
| ~ spl28_14 ),
inference(forward_subsumption_resolution,[],[f652,f309]) ).
fof(f686,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,sF27(X1))
| aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(sF27(X1))
| ~ aSet0(szNzAzT0)
| ~ iLess0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f277,f473]) ).
fof(f691,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,sF27(X1))
| aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(szNzAzT0)
| ~ iLess0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f686,f521]) ).
fof(f694,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,sF27(X1))
| aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| ~ iLess0(X1,sK25)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f691,f309]) ).
fof(f724,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f436,f296]) ).
fof(f725,plain,
( ~ sP3(szmzizndt0(sF27(sK8(sK25))),sF27(sK8(sK25)))
| spl28_15 ),
inference(resolution,[],[f724,f641]) ).
fof(f867,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f293,f436]) ).
fof(f936,plain,
! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2)),X1)
| ~ sP3(X2,X1)
| ~ aSet0(sdtmndt0(X1,X2))
| aSubsetOf0(sdtmndt0(X1,X2),X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f867,f272]) ).
fof(f937,plain,
! [X2,X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(X1,X2)),X1)
| ~ sP3(X2,X1)
| aSubsetOf0(sdtmndt0(X1,X2),X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f936,f724]) ).
fof(f938,plain,
( ~ aSet0(sF27(sK8(sK25)))
| ~ aElement0(szmzizndt0(sF27(sK8(sK25))))
| spl28_15 ),
inference(resolution,[],[f725,f301]) ).
fof(f939,plain,
( ~ aElement0(szmzizndt0(sF27(sK8(sK25))))
| ~ spl28_14
| spl28_15 ),
inference(forward_subsumption_resolution,[],[f938,f654]) ).
fof(f1464,plain,
( aElementOf0(szmzizndt0(sF27(sK8(sK25))),szNzAzT0)
| ~ aSubsetOf0(sF27(sK8(sK25)),szNzAzT0)
| slcrc0 = sF27(sK8(sK25))
| ~ spl28_14 ),
inference(resolution,[],[f655,f439]) ).
fof(f1467,plain,
( aElementOf0(szmzizndt0(sF27(sK8(sK25))),szNzAzT0)
| slcrc0 = sF27(sK8(sK25))
| ~ spl28_14 ),
inference(forward_subsumption_resolution,[],[f1464,f629]) ).
fof(f1469,definition,
( spl28_68
<=> slcrc0 = sF27(sK8(sK25)) ),
introduced(definition,[new_symbols(definition,[spl28_68])],[avatar_definition]) ).
fof(f1471,plain,
( slcrc0 = sF27(sK8(sK25))
| ~ spl28_68 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1473,definition,
( spl28_69
<=> aElementOf0(szmzizndt0(sF27(sK8(sK25))),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl28_69])],[avatar_definition]) ).
fof(f1475,plain,
( aElementOf0(szmzizndt0(sF27(sK8(sK25))),szNzAzT0)
| ~ spl28_69 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1476,plain,
( spl28_68
| spl28_69
| ~ spl28_14 ),
inference(avatar_split_clause,[],[f1467,f628,f1473,f1469]) ).
fof(f1477,plain,
( isCountable0(slcrc0)
| ~ spl28_9
| ~ spl28_10
| ~ spl28_68 ),
inference(superposition,[],[f580,f1471]) ).
fof(f1495,plain,
( $false
| spl28_5
| ~ spl28_9
| ~ spl28_10
| ~ spl28_68 ),
inference(forward_subsumption_resolution,[],[f1477,f497]) ).
fof(f1496,plain,
( spl28_5
| ~ spl28_9
| ~ spl28_10
| ~ spl28_68 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1505,plain,
( aElement0(szmzizndt0(sF27(sK8(sK25))))
| ~ aSet0(szNzAzT0)
| ~ spl28_69 ),
inference(resolution,[],[f1475,f263]) ).
fof(f1506,plain,
( ~ aSet0(szNzAzT0)
| ~ spl28_14
| spl28_15
| ~ spl28_69 ),
inference(forward_subsumption_resolution,[],[f1505,f939]) ).
fof(f1530,plain,
( $false
| ~ spl28_14
| spl28_15
| ~ spl28_69 ),
inference(forward_subsumption_resolution,[],[f1506,f309]) ).
fof(f1531,plain,
( ~ spl28_14
| spl28_15
| ~ spl28_69 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1536,plain,
( aElement0(szmzizndt0(sF27(sK8(sK25))))
| ~ spl28_69 ),
inference(forward_subsumption_resolution,[],[f1505,f309]) ).
fof(f2495,definition,
( spl28_126
<=> sP3(szmzizndt0(sF27(sK8(sK25))),sF27(sK8(sK25))) ),
introduced(definition,[new_symbols(definition,[spl28_126])],[avatar_definition]) ).
fof(f2496,plain,
( sP3(szmzizndt0(sF27(sK8(sK25))),sF27(sK8(sK25)))
| ~ spl28_126 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f2497,plain,
( ~ sP3(szmzizndt0(sF27(sK8(sK25))),sF27(sK8(sK25)))
| spl28_126 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f2639,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(X1,X0))
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(X1) ),
inference(resolution,[],[f937,f273]) ).
fof(f2661,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(X1,X0)) ),
inference(duplicate_literal_removal,[],[f2639]) ).
fof(f2663,plain,
! [X0,X1] :
( aSubsetOf0(sdtmndt0(X1,X0),X1)
| ~ sP3(X0,X1)
| ~ aSet0(X1) ),
inference(forward_subsumption_resolution,[],[f2661,f724]) ).
fof(f2668,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,sdtmndt0(X1,X0))
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(sdtmndt0(X1,X0))
| ~ aSet0(X1) ),
inference(resolution,[],[f2663,f277]) ).
fof(f2678,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,sdtmndt0(X1,X0))
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(sdtmndt0(X1,X0)) ),
inference(duplicate_literal_removal,[],[f2668]) ).
fof(f2686,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,sdtmndt0(X1,X0))
| aSubsetOf0(X2,X1)
| ~ aSet0(sdtmndt0(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f2678,f271]) ).
fof(f2689,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ sP3(X0,X1)
| aSubsetOf0(X2,X1) ),
inference(forward_subsumption_resolution,[],[f2686,f724]) ).
fof(f2696,plain,
( ~ aSet0(sF27(sK8(sK25)))
| ~ sP3(szmzizndt0(sF27(sK8(sK25))),sF27(sK8(sK25)))
| aSubsetOf0(sF26,sF27(sK8(sK25)))
| ~ spl28_13 ),
inference(resolution,[],[f2689,f626]) ).
fof(f2729,plain,
( ~ aSet0(sF27(sK8(sK25)))
| ~ aElement0(szmzizndt0(sF27(sK8(sK25))))
| spl28_126 ),
inference(resolution,[],[f2497,f301]) ).
fof(f2730,plain,
( ~ aElement0(szmzizndt0(sF27(sK8(sK25))))
| ~ spl28_14
| spl28_126 ),
inference(forward_subsumption_resolution,[],[f2729,f654]) ).
fof(f2731,plain,
( $false
| ~ spl28_14
| ~ spl28_69
| spl28_126 ),
inference(forward_subsumption_resolution,[],[f2730,f1536]) ).
fof(f2732,plain,
( ~ spl28_14
| ~ spl28_69
| spl28_126 ),
inference(avatar_contradiction_clause,[],[f2731]) ).
fof(f2736,plain,
( ~ sP3(szmzizndt0(sF27(sK8(sK25))),sF27(sK8(sK25)))
| aSubsetOf0(sF26,sF27(sK8(sK25)))
| ~ spl28_13
| ~ spl28_14 ),
inference(forward_subsumption_resolution,[],[f2696,f654]) ).
fof(f2932,plain,
( aSubsetOf0(sF26,sF27(sK8(sK25)))
| ~ spl28_13
| ~ spl28_14
| ~ spl28_126 ),
inference(forward_subsumption_resolution,[],[f2736,f2496]) ).
fof(f2944,plain,
( aSubsetOf0(sF26,szNzAzT0)
| ~ aSet0(sF26)
| ~ iLess0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl28_13
| ~ spl28_14
| ~ spl28_126 ),
inference(resolution,[],[f2932,f694]) ).
fof(f2951,plain,
( ~ aSet0(sF26)
| ~ iLess0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| spl28_2
| ~ spl28_13
| ~ spl28_14
| ~ spl28_126 ),
inference(forward_subsumption_resolution,[],[f2944,f483]) ).
fof(f2953,plain,
( ~ iLess0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| spl28_2
| ~ spl28_13
| ~ spl28_14
| ~ spl28_16
| ~ spl28_126 ),
inference(forward_subsumption_resolution,[],[f2951,f645]) ).
fof(f2955,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| spl28_2
| ~ spl28_10
| ~ spl28_13
| ~ spl28_14
| ~ spl28_16
| ~ spl28_126 ),
inference(forward_subsumption_resolution,[],[f2953,f567]) ).
fof(f2957,plain,
( $false
| spl28_2
| ~ spl28_9
| ~ spl28_10
| ~ spl28_13
| ~ spl28_14
| ~ spl28_16
| ~ spl28_126 ),
inference(forward_subsumption_resolution,[],[f2955,f562]) ).
fof(f2958,plain,
( spl28_2
| ~ spl28_9
| ~ spl28_10
| ~ spl28_13
| ~ spl28_14
| ~ spl28_16
| ~ spl28_126 ),
inference(avatar_contradiction_clause,[],[f2957]) ).
cnf(s1,plain,
( ~ spl28_1
| ~ spl28_2 ),
inference(sat_conversion,[],[f484]) ).
cnf(s3,plain,
( ~ spl28_3
| ~ spl28_5 ),
inference(sat_conversion,[],[f498]) ).
cnf(s4,plain,
spl28_3,
inference(sat_conversion,[],[f499]) ).
cnf(s6,plain,
( spl28_7
| spl28_8 ),
inference(sat_conversion,[],[f547]) ).
cnf(s7,plain,
( spl28_1
| ~ spl28_7 ),
inference(sat_conversion,[],[f557]) ).
cnf(s8,plain,
( ~ spl28_8
| ~ spl28_9
| spl28_10 ),
inference(sat_conversion,[],[f568]) ).
cnf(s9,plain,
( spl28_1
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(sat_conversion,[],[f571]) ).
cnf(s10,plain,
( spl28_7
| spl28_9 ),
inference(sat_conversion,[],[f575]) ).
cnf(s11,plain,
( spl28_2
| ~ spl28_7 ),
inference(sat_conversion,[],[f578]) ).
cnf(s13,plain,
( ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| spl28_13
| ~ spl28_14 ),
inference(sat_conversion,[],[f631]) ).
cnf(s14,plain,
( ~ spl28_9
| ~ spl28_10
| spl28_14 ),
inference(sat_conversion,[],[f635]) ).
cnf(s15,plain,
( ~ spl28_13
| ~ spl28_15
| spl28_16 ),
inference(sat_conversion,[],[f646]) ).
cnf(s50,plain,
( ~ spl28_14
| spl28_68
| spl28_69 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s51,plain,
( spl28_5
| ~ spl28_9
| ~ spl28_10
| ~ spl28_68 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s55,plain,
( ~ spl28_14
| spl28_15
| ~ spl28_69 ),
inference(sat_conversion,[],[f1531]) ).
cnf(s116,plain,
( ~ spl28_14
| ~ spl28_69
| spl28_126 ),
inference(sat_conversion,[],[f2732]) ).
cnf(s131,plain,
( spl28_2
| ~ spl28_9
| ~ spl28_10
| ~ spl28_13
| ~ spl28_14
| ~ spl28_16
| ~ spl28_126 ),
inference(sat_conversion,[],[f2958]) ).
cnf(s134,plain,
~ spl28_5,
inference(rat,[],[s3,s4]) ).
cnf(s139,plain,
( ~ spl28_8
| ~ spl28_9
| spl28_1 ),
inference(rat,[],[s8,s9]) ).
cnf(s140,plain,
spl28_1,
inference(rat,[],[s139,s6,s10,s7]) ).
cnf(s141,plain,
~ spl28_2,
inference(rat,[],[s1,s140]) ).
cnf(s142,plain,
~ spl28_7,
inference(rat,[],[s11,s141]) ).
cnf(s144,plain,
spl28_9,
inference(rat,[],[s10,s142]) ).
cnf(s145,plain,
spl28_8,
inference(rat,[],[s6,s142]) ).
cnf(s147,plain,
spl28_10,
inference(rat,[],[s8,s144,s145]) ).
cnf(s149,plain,
spl28_14,
inference(rat,[],[s14,s144,s147]) ).
cnf(s150,plain,
~ spl28_68,
inference(rat,[],[s51,s144,s134,s147]) ).
cnf(s151,plain,
spl28_13,
inference(rat,[],[s13,s149,s145,s144,s147]) ).
cnf(s152,plain,
spl28_69,
inference(rat,[],[s50,s149,s150]) ).
cnf(s153,plain,
spl28_126,
inference(rat,[],[s116,s149,s152]) ).
cnf(s154,plain,
spl28_15,
inference(rat,[],[s55,s149,s152]) ).
cnf(s156,plain,
~ spl28_16,
inference(rat,[],[s131,s151,s147,s149,s144,s141,s153]) ).
cnf(s158,plain,
$false,
inference(rat,[],[s15,s151,s156,s154]) ).
fof(f2968,plain,
$false,
inference(avatar_sat_refutation,[],[s158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM569+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n011.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 20:32:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 7.62/1.96 % (2738456)Detected formulas, will run a generic FOF schedule.
% 7.62/1.96 % (2738465)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1998829443:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.62/1.96 % (2738463)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=1640553128:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.62/1.96 % (2738464)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1490355468:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.62/1.96 % (2738462)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=459403863:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.62/1.96 % (2738461)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=107462778:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.62/1.96 % (2738467)dis-21_1_sil=8000:lcm=predicate:random_seed=324902246: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)
% 7.62/1.96 % (2738466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=421122638:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.62/1.96 % (2738467)Instruction limit reached!
% 7.62/1.96 % (2738467)------------------------------
% 7.62/1.96 % (2738467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738467)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738467)Termination reason: Instruction limit
% 7.62/1.96 % (2738467)Termination phase: Saturation
% 7.62/1.96 % (2738467)Time elapsed: 0.060 s
% 7.62/1.96 % (2738467)Peak memory usage: 88 MB
% 7.62/1.96 % (2738467)Instructions burned: 131 (million)
% 7.62/1.96 % (2738464)Instruction limit reached!
% 7.62/1.96 % (2738464)------------------------------
% 7.62/1.96 % (2738464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738464)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738464)Termination reason: Instruction limit
% 7.62/1.96 % (2738464)Termination phase: Saturation
% 7.62/1.96 % (2738464)Time elapsed: 0.068 s
% 7.62/1.96 % (2738464)Peak memory usage: 89 MB
% 7.62/1.96 % (2738464)Instructions burned: 109 (million)
% 7.62/1.96 % (2738465)Instruction limit reached!
% 7.62/1.96 % (2738465)------------------------------
% 7.62/1.96 % (2738465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738465)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738465)Termination reason: Instruction limit
% 7.62/1.96 % (2738465)Termination phase: Saturation
% 7.62/1.96 % (2738465)Time elapsed: 0.071 s
% 7.62/1.96 % (2738465)Peak memory usage: 88 MB
% 7.62/1.96 % (2738465)Instructions burned: 120 (million)
% 7.62/1.96 % (2738466)Instruction limit reached!
% 7.62/1.96 % (2738466)------------------------------
% 7.62/1.96 % (2738466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738466)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738466)Termination reason: Instruction limit
% 7.62/1.96 % (2738466)Termination phase: Saturation
% 7.62/1.96 % (2738466)Time elapsed: 0.100 s
% 7.62/1.96 % (2738466)Peak memory usage: 90 MB
% 7.62/1.96 % (2738466)Instructions burned: 139 (million)
% 7.62/1.96 % (2738475)lrs+10_1_sil=8000:sp=occurrence:random_seed=4178834897:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.62/1.96 % (2738476)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1811311517:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.62/1.96 % (2738477)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1602094119:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.62/1.96 % (2738476)Refutation not found, incomplete strategy
% 7.62/1.96 % (2738476)------------------------------
% 7.62/1.96 % (2738476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738476)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738476)Termination reason: Refutation not found, incomplete strategy
% 7.62/1.96 % (2738476)Time elapsed: 0.004 s
% 7.62/1.96 % (2738476)Peak memory usage: 89 MB
% 7.62/1.96 % (2738476)Instructions burned: 3 (million)
% 7.62/1.96 % (2738478)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=2694192347:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.62/1.96 % (2738478)Instruction limit reached!
% 7.62/1.96 % (2738478)------------------------------
% 7.62/1.96 % (2738478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738478)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738478)Termination reason: Instruction limit
% 7.62/1.96 % (2738478)Termination phase: Saturation
% 7.62/1.96 % (2738478)Time elapsed: 0.079 s
% 7.62/1.96 % (2738478)Peak memory usage: 92 MB
% 7.62/1.96 % (2738478)Instructions burned: 249 (million)
% 7.62/1.96 % (2738475)Instruction limit reached!
% 7.62/1.96 % (2738475)------------------------------
% 7.62/1.96 % (2738475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738475)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738475)Termination reason: Instruction limit
% 7.62/1.96 % (2738475)Termination phase: Saturation
% 7.62/1.96 % (2738475)Time elapsed: 0.191 s
% 7.62/1.96 % (2738475)Peak memory usage: 92 MB
% 7.62/1.96 % (2738475)Instructions burned: 286 (million)
% 7.62/1.96 % (2738477)Instruction limit reached!
% 7.62/1.96 % (2738477)------------------------------
% 7.62/1.96 % (2738477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738477)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738477)Termination reason: Instruction limit
% 7.62/1.96 % (2738477)Termination phase: Saturation
% 7.62/1.96 % (2738477)Time elapsed: 0.210 s
% 7.62/1.96 % (2738477)Peak memory usage: 91 MB
% 7.62/1.96 % (2738477)Instructions burned: 326 (million)
% 7.62/1.96 % (2738476)------------------------------
% 7.62/1.96 % (2738476)------------------------------
% 7.62/1.96 % (2738483)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1722434763:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.62/1.96 % (2738484)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2525032950:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.62/1.96 % (2738483)Instruction limit reached!
% 7.62/1.96 % (2738483)------------------------------
% 7.62/1.96 % (2738483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738483)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738483)Termination reason: Instruction limit
% 7.62/1.96 % (2738483)Termination phase: Saturation
% 7.62/1.96 % (2738483)Time elapsed: 0.092 s
% 7.62/1.96 % (2738483)Peak memory usage: 89 MB
% 7.62/1.96 % (2738483)Instructions burned: 294 (million)
% 7.62/1.96 % (2738485)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2787274983:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.62/1.96 % (2738487)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2724847257:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.62/1.96 % (2738485)Instruction limit reached!
% 7.62/1.96 % (2738485)------------------------------
% 7.62/1.96 % (2738485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738485)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738485)Termination reason: Instruction limit
% 7.62/1.96 % (2738485)Termination phase: Saturation
% 7.62/1.96 % (2738485)Time elapsed: 0.077 s
% 7.62/1.96 % (2738485)Peak memory usage: 91 MB
% 7.62/1.96 % (2738485)Instructions burned: 113 (million)
% 7.62/1.96 % (2738489)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2131428909:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.62/1.96 % (2738487)Instruction limit reached!
% 7.62/1.96 % (2738487)------------------------------
% 7.62/1.96 % (2738487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738487)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738487)Termination reason: Instruction limit
% 7.62/1.96 % (2738487)Termination phase: Saturation
% 7.62/1.96 % (2738487)Time elapsed: 0.069 s
% 7.62/1.96 % (2738487)Peak memory usage: 89 MB
% 7.62/1.96 % (2738487)Instructions burned: 128 (million)
% 7.62/1.96 % (2738489)Instruction limit reached!
% 7.62/1.96 % (2738489)------------------------------
% 7.62/1.96 % (2738489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738489)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738489)Termination reason: Instruction limit
% 7.62/1.96 % (2738489)Termination phase: Saturation
% 7.62/1.96 % (2738489)Time elapsed: 0.039 s
% 7.62/1.96 % (2738489)Peak memory usage: 89 MB
% 7.62/1.96 % (2738489)Instructions burned: 117 (million)
% 7.62/1.96 % (2738492)lrs+10_1_sil=8000:sp=occurrence:random_seed=721559048:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.62/1.96 % (2738494)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=987363079:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.62/1.96 % (2738495)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3550272842:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.62/1.96 % (2738461)First to succeed.
% 7.62/1.96 % (2738461)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2738456"
% 7.62/1.96 % (2738494)Instruction limit reached!
% 7.62/1.96 % (2738494)------------------------------
% 7.62/1.96 % (2738494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (2738494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (2738494)CaDiCaL version: 2.1.3
% 7.62/1.96 % (2738494)Termination reason: Instruction limit
% 7.62/1.96 % (2738494)Termination phase: Saturation
% 7.62/1.96 % (2738494)Time elapsed: 0.274 s
% 7.62/1.96 % (2738494)Peak memory usage: 92 MB
% 7.62/1.96 % (2738494)Instructions burned: 438 (million)
% 7.62/1.96 % (2738461)Refutation found. Thanks to Tanya!
% 7.62/1.96 % SZS status Theorem for theBenchmark
% 7.62/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 9.78/2.16 % (2738461)------------------------------
% 9.78/2.16 % (2738461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.16 % (2738461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.16 % (2738461)CaDiCaL version: 2.1.3
% 9.78/2.16 % (2738461)Termination reason: Refutation
% 9.78/2.16 % (2738461)Time elapsed: 0.904 s
% 9.78/2.16 % (2738461)Peak memory usage: 132 MB
% 9.78/2.16 % (2738461)Instructions burned: 1335 (million)
% 9.78/2.16 % (2738461)------------------------------
% 9.78/2.16 % (2738461)------------------------------
% 9.78/2.16 % (2738456)Success in time 1.333 s
% 9.78/2.16 % Vampire exiting
%------------------------------------------------------------------------------