%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM575+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 : n017.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 12:15:48 PM UTC 2026
% Result : Theorem 8.62s 2.13s
% Output : Refutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 35
% Syntax : Number of formulae : 249 ( 41 unt; 21 def)
% Number of atoms : 830 ( 112 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 987 ( 406 ~; 408 |; 123 &)
% ( 31 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 16 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 217 ( 0 sgn 200 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(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(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
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(f84,conjecture,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f85,negated_conjecture,
~ ! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
inference(negated_conjecture,[status(cth)],[f84]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f94,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f97,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f98,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f109,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(f110,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,[],[f109]) ).
fof(f122,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f134,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f135,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f134]) ).
fof(f138,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f139,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f138]) ).
fof(f152,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(f153,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f152]) ).
fof(f194,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(f195,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,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f197,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f198,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f197]) ).
fof(f199,plain,
? [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 ),
inference(ennf_transformation,[],[f85]) ).
fof(f200,plain,
? [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 ),
inference(flattening,[],[f199]) ).
fof(f204,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(f205,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(f206,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f110,f205,f204]) ).
fof(f207,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f208,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f207]) ).
fof(f209,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f208]) ).
fof(f210,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))],[f209]) ).
fof(f211,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,[],[f99]) ).
fof(f212,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,[],[f211]) ).
fof(f213,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,[],[f212]) ).
fof(f214,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))],[f213]) ).
fof(f221,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,[],[f205]) ).
fof(f222,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,[],[f221]) ).
fof(f223,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,[],[f204]) ).
fof(f224,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,[],[f223]) ).
fof(f225,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,[],[f224]) ).
fof(f226,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))],[f225]) ).
fof(f232,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,[],[f153]) ).
fof(f233,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,[],[f232]) ).
fof(f234,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,[],[f233]) ).
fof(f235,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))],[f234]) ).
fof(f267,plain,
( szmzizndt0(sdtlpdtrp0(xN,sK25)) = szmzizndt0(sdtlpdtrp0(xN,sK26))
& aElementOf0(sK25,szNzAzT0)
& aElementOf0(sK26,szNzAzT0)
& sK25 != sK26 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f200]) ).
fof(f268,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f270,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f210]) ).
fof(f274,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f275,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f276,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f295,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f297,plain,
! [X2,X0,X1,X4] :
( X2 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f306,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f314,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f317,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f328,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f330,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f343,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f235]) ).
fof(f428,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,[],[f195]) ).
fof(f432,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f433,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f434,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f435,plain,
sK25 != sK26,
inference(cnf_transformation,[],[f267]) ).
fof(f436,plain,
aElementOf0(sK26,szNzAzT0),
inference(cnf_transformation,[],[f267]) ).
fof(f437,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f267]) ).
fof(f438,plain,
szmzizndt0(sdtlpdtrp0(xN,sK25)) = szmzizndt0(sdtlpdtrp0(xN,sK26)),
inference(cnf_transformation,[],[f267]) ).
fof(f439,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f270]) ).
fof(f441,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f274]) ).
fof(f444,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f295]) ).
fof(f445,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f297]) ).
fof(f447,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f343]) ).
fof(f476,definition,
sF27 = sdtlpdtrp0(xN,sK25),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f477,plain,
sdtlpdtrp0(xN,sK25) = sF27,
inference(reorient_equations,[],[f476]) ).
fof(f478,definition,
sF28 = szmzizndt0(sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f479,plain,
szmzizndt0(sF27) = sF28,
inference(reorient_equations,[],[f478]) ).
fof(f480,definition,
sF29 = sdtlpdtrp0(xN,sK26),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f481,plain,
sdtlpdtrp0(xN,sK26) = sF29,
inference(reorient_equations,[],[f480]) ).
fof(f482,definition,
sF30 = szmzizndt0(sF29),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f483,plain,
szmzizndt0(sF29) = sF30,
inference(reorient_equations,[],[f482]) ).
fof(f484,plain,
sF28 = sF30,
inference(definition_folding,[],[f438,f483,f481,f479,f477]) ).
fof(f487,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,[],[f428,f433]) ).
fof(f489,definition,
( spl31_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f498,definition,
( spl31_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f500,plain,
( ~ isCountable0(slcrc0)
| spl31_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f501,plain,
( ~ spl31_3
| ~ spl31_1 ),
inference(avatar_split_clause,[],[f441,f489,f498]) ).
fof(f502,plain,
spl31_1,
inference(avatar_split_clause,[],[f439,f489]) ).
fof(f503,plain,
sF28 = szmzizndt0(sF29),
inference(forward_demodulation,[],[f483,f484]) ).
fof(f505,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f487,f432]) ).
fof(f506,plain,
( aElementOf0(sF28,sF29)
| ~ aSubsetOf0(sF29,szNzAzT0)
| slcrc0 = sF29 ),
inference(superposition,[],[f447,f503]) ).
fof(f509,definition,
( spl31_4
<=> slcrc0 = sF27 ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f510,plain,
( slcrc0 != sF27
| spl31_4 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( slcrc0 = sF27
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f522,definition,
( spl31_7
<=> slcrc0 = sF29 ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f524,plain,
( slcrc0 = sF29
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f526,definition,
( spl31_8
<=> aSubsetOf0(sF29,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f528,plain,
( ~ aSubsetOf0(sF29,szNzAzT0)
| spl31_8 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f530,definition,
( spl31_9
<=> aElementOf0(sF28,sF29) ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f532,plain,
( aElementOf0(sF28,sF29)
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f533,plain,
( spl31_7
| ~ spl31_8
| spl31_9 ),
inference(avatar_split_clause,[],[f506,f530,f526,f522]) ).
fof(f534,plain,
( isCountable0(sF27)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f432,f477]) ).
fof(f535,plain,
( isCountable0(sF29)
| ~ aElementOf0(sK26,szNzAzT0) ),
inference(superposition,[],[f432,f481]) ).
fof(f536,plain,
isCountable0(sF29),
inference(forward_subsumption_resolution,[],[f535,f436]) ).
fof(f537,plain,
isCountable0(sF27),
inference(forward_subsumption_resolution,[],[f534,f437]) ).
fof(f543,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f433,f276]) ).
fof(f545,plain,
( aSubsetOf0(sF29,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0) ),
inference(superposition,[],[f433,f481]) ).
fof(f547,plain,
( ~ aElementOf0(sK26,szNzAzT0)
| spl31_8 ),
inference(forward_subsumption_resolution,[],[f545,f528]) ).
fof(f549,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f543,f314]) ).
fof(f550,plain,
( $false
| spl31_8 ),
inference(forward_subsumption_resolution,[],[f547,f436]) ).
fof(f551,plain,
spl31_8,
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f562,plain,
( aSet0(sF27)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f549,f477]) ).
fof(f563,plain,
( aSet0(sF29)
| ~ aElementOf0(sK26,szNzAzT0) ),
inference(superposition,[],[f549,f481]) ).
fof(f566,plain,
aSet0(sF29),
inference(forward_subsumption_resolution,[],[f563,f436]) ).
fof(f567,plain,
aSet0(sF27),
inference(forward_subsumption_resolution,[],[f562,f437]) ).
fof(f578,plain,
! [X0] :
( aSubsetOf0(sF29,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sK26)
| ~ aElementOf0(sK26,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f434,f481]) ).
fof(f587,plain,
! [X0] :
( aSubsetOf0(sF29,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sK26)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f578,f436]) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,sdtlpdtrp0(xN,X2))
| ~ aSet0(sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(resolution,[],[f275,f434]) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f595,f549]) ).
fof(f598,plain,
( isCountable0(slcrc0)
| ~ spl31_7 ),
inference(superposition,[],[f536,f524]) ).
fof(f599,plain,
( $false
| spl31_3
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f598,f500]) ).
fof(f600,plain,
( spl31_3
| ~ spl31_7 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f611,plain,
( isCountable0(slcrc0)
| ~ spl31_4 ),
inference(superposition,[],[f537,f511]) ).
fof(f612,plain,
( $false
| spl31_3
| ~ spl31_4 ),
inference(forward_subsumption_resolution,[],[f611,f500]) ).
fof(f613,plain,
( spl31_3
| ~ spl31_4 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f614,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sK26)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sF29)
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f587,f275]) ).
fof(f622,plain,
! [X0,X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sF29)
| ~ sdtlseqdt0(X0,sK26) ),
inference(forward_subsumption_resolution,[],[f614,f549]) ).
fof(f634,definition,
( spl31_13
<=> sdtlseqdt0(sK25,sK26) ),
introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).
fof(f635,plain,
( sdtlseqdt0(sK25,sK26)
| ~ spl31_13 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( ~ sdtlseqdt0(sK25,sK26)
| spl31_13 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f663,definition,
( spl31_17
<=> sdtlseqdt0(sK26,sK25) ),
introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).
fof(f664,plain,
( sdtlseqdt0(sK26,sK25)
| ~ spl31_17 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( ~ sdtlseqdt0(sK26,sK25)
| spl31_17 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f674,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(resolution,[],[f505,f275]) ).
fof(f684,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(resolution,[],[f596,f447]) ).
fof(f689,plain,
! [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0) ),
inference(forward_subsumption_resolution,[],[f684,f433]) ).
fof(f879,plain,
! [X0] :
( aElementOf0(szmzizndt0(sF27),sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sK25)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sF27 ),
inference(superposition,[],[f689,f477]) ).
fof(f893,plain,
! [X0] :
( aElementOf0(szmzizndt0(sF27),sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sK25)
| ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = sF27 ),
inference(forward_subsumption_resolution,[],[f879,f437]) ).
fof(f899,plain,
( ! [X0] :
( aElementOf0(szmzizndt0(sF27),sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sK25)
| ~ aElementOf0(X0,szNzAzT0) )
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f893,f510]) ).
fof(f903,plain,
( ! [X0] :
( aElementOf0(sF28,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,sK25)
| ~ aElementOf0(X0,szNzAzT0) )
| spl31_4 ),
inference(forward_demodulation,[],[f899,f479]) ).
fof(f937,plain,
( aElement0(sF28)
| ~ aSet0(sF29)
| ~ spl31_9 ),
inference(resolution,[],[f268,f532]) ).
fof(f938,plain,
( aElement0(sF28)
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f937,f566]) ).
fof(f1632,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f444,f301]) ).
fof(f1633,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f444,f445]) ).
fof(f2129,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP3(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f674,f1633]) ).
fof(f2137,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP3(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(forward_subsumption_resolution,[],[f2129,f1632]) ).
fof(f2397,plain,
( ~ aElementOf0(szmzizndt0(sF27),sdtlpdtrp0(xN,szszuzczcdt0(sK25)))
| ~ aElementOf0(sK25,szNzAzT0)
| ~ sP3(szmzizndt0(sF27),sF27) ),
inference(superposition,[],[f2137,f477]) ).
fof(f2398,plain,
( ~ aElementOf0(szmzizndt0(sF29),sdtlpdtrp0(xN,szszuzczcdt0(sK26)))
| ~ aElementOf0(sK26,szNzAzT0)
| ~ sP3(szmzizndt0(sF29),sF29) ),
inference(superposition,[],[f2137,f481]) ).
fof(f2405,plain,
( ~ aElementOf0(szmzizndt0(sF29),sdtlpdtrp0(xN,szszuzczcdt0(sK26)))
| ~ sP3(szmzizndt0(sF29),sF29) ),
inference(forward_subsumption_resolution,[],[f2398,f436]) ).
fof(f2406,plain,
( ~ aElementOf0(szmzizndt0(sF27),sdtlpdtrp0(xN,szszuzczcdt0(sK25)))
| ~ sP3(szmzizndt0(sF27),sF27) ),
inference(forward_subsumption_resolution,[],[f2397,f437]) ).
fof(f2413,plain,
( ~ aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK26)))
| ~ sP3(szmzizndt0(sF29),sF29) ),
inference(forward_demodulation,[],[f2405,f503]) ).
fof(f2414,plain,
( ~ aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK25)))
| ~ sP3(szmzizndt0(sF27),sF27) ),
inference(forward_demodulation,[],[f2406,f479]) ).
fof(f2493,definition,
( spl31_139
<=> sP3(sF28,sF29) ),
introduced(definition,[new_symbols(definition,[spl31_139])],[avatar_definition]) ).
fof(f2495,plain,
( ~ sP3(sF28,sF29)
| spl31_139 ),
inference(avatar_component_clause,[],[f2493]) ).
fof(f2498,definition,
( spl31_140
<=> sP3(sF28,sF27) ),
introduced(definition,[new_symbols(definition,[spl31_140])],[avatar_definition]) ).
fof(f2500,plain,
( ~ sP3(sF28,sF27)
| spl31_140 ),
inference(avatar_component_clause,[],[f2498]) ).
fof(f2502,plain,
( ~ sP3(sF28,sF29)
| ~ aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK26))) ),
inference(forward_demodulation,[],[f2413,f503]) ).
fof(f2503,plain,
( ~ sP3(sF28,sF27)
| ~ aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK25))) ),
inference(forward_demodulation,[],[f2414,f479]) ).
fof(f2522,definition,
( spl31_144
<=> aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK26))) ),
introduced(definition,[new_symbols(definition,[spl31_144])],[avatar_definition]) ).
fof(f2524,plain,
( ~ aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK26)))
| spl31_144 ),
inference(avatar_component_clause,[],[f2522]) ).
fof(f2525,plain,
( ~ spl31_144
| ~ spl31_139 ),
inference(avatar_split_clause,[],[f2502,f2493,f2522]) ).
fof(f2527,definition,
( spl31_145
<=> aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK25))) ),
introduced(definition,[new_symbols(definition,[spl31_145])],[avatar_definition]) ).
fof(f2529,plain,
( ~ aElementOf0(sF28,sdtlpdtrp0(xN,szszuzczcdt0(sK25)))
| spl31_145 ),
inference(avatar_component_clause,[],[f2527]) ).
fof(f2530,plain,
( ~ spl31_145
| ~ spl31_140 ),
inference(avatar_split_clause,[],[f2503,f2498,f2527]) ).
fof(f2531,plain,
( ~ aSet0(sF27)
| ~ aElement0(sF28)
| spl31_140 ),
inference(resolution,[],[f2500,f306]) ).
fof(f2532,plain,
( ~ aElement0(sF28)
| spl31_140 ),
inference(forward_subsumption_resolution,[],[f2531,f567]) ).
fof(f2533,plain,
( $false
| ~ spl31_9
| spl31_140 ),
inference(forward_subsumption_resolution,[],[f2532,f938]) ).
fof(f2534,plain,
( ~ spl31_9
| spl31_140 ),
inference(avatar_contradiction_clause,[],[f2533]) ).
fof(f2572,plain,
( ~ aSet0(sF29)
| ~ aElement0(sF28)
| spl31_139 ),
inference(resolution,[],[f2495,f306]) ).
fof(f2573,plain,
( ~ aElement0(sF28)
| spl31_139 ),
inference(forward_subsumption_resolution,[],[f2572,f566]) ).
fof(f2574,plain,
( $false
| ~ spl31_9
| spl31_139 ),
inference(forward_subsumption_resolution,[],[f2573,f938]) ).
fof(f2575,plain,
( ~ spl31_9
| spl31_139 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2595,definition,
( spl31_152
<=> aElementOf0(szszuzczcdt0(sK26),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl31_152])],[avatar_definition]) ).
fof(f2596,plain,
( aElementOf0(szszuzczcdt0(sK26),szNzAzT0)
| ~ spl31_152 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f2597,plain,
( ~ aElementOf0(szszuzczcdt0(sK26),szNzAzT0)
| spl31_152 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f2604,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK26),sK25)
| ~ aElementOf0(szszuzczcdt0(sK26),szNzAzT0)
| spl31_4
| spl31_144 ),
inference(resolution,[],[f2524,f903]) ).
fof(f2625,plain,
( ~ aElementOf0(szszuzczcdt0(sK25),szNzAzT0)
| ~ aElementOf0(sF28,sF29)
| ~ sdtlseqdt0(szszuzczcdt0(sK25),sK26)
| spl31_145 ),
inference(resolution,[],[f2529,f622]) ).
fof(f2629,definition,
( spl31_154
<=> aElementOf0(szszuzczcdt0(sK25),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl31_154])],[avatar_definition]) ).
fof(f2631,plain,
( ~ aElementOf0(szszuzczcdt0(sK25),szNzAzT0)
| spl31_154 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f2638,definition,
( spl31_156
<=> sdtlseqdt0(szszuzczcdt0(sK25),sK26) ),
introduced(definition,[new_symbols(definition,[spl31_156])],[avatar_definition]) ).
fof(f2640,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK25),sK26)
| spl31_156 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f2642,plain,
( ~ aElementOf0(szszuzczcdt0(sK25),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK25),sK26)
| ~ spl31_9
| spl31_145 ),
inference(forward_subsumption_resolution,[],[f2625,f532]) ).
fof(f2644,plain,
( ~ spl31_156
| ~ spl31_154
| ~ spl31_9
| spl31_145 ),
inference(avatar_split_clause,[],[f2642,f2527,f530,f2629,f2638]) ).
fof(f2646,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl31_154 ),
inference(resolution,[],[f2631,f317]) ).
fof(f2647,plain,
( $false
| spl31_154 ),
inference(forward_subsumption_resolution,[],[f2646,f437]) ).
fof(f2648,plain,
spl31_154,
inference(avatar_contradiction_clause,[],[f2647]) ).
fof(f2663,plain,
( ~ aElementOf0(sK26,szNzAzT0)
| spl31_152 ),
inference(resolution,[],[f2597,f317]) ).
fof(f2664,plain,
( $false
| spl31_152 ),
inference(forward_subsumption_resolution,[],[f2663,f436]) ).
fof(f2665,plain,
spl31_152,
inference(avatar_contradiction_clause,[],[f2664]) ).
fof(f2666,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK26),sK25)
| spl31_4
| spl31_144
| ~ spl31_152 ),
inference(forward_subsumption_resolution,[],[f2604,f2596]) ).
fof(f2916,plain,
( ~ sdtlseqdt0(sK25,sK26)
| sK25 = sK26
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0)
| ~ spl31_17 ),
inference(resolution,[],[f664,f328]) ).
fof(f3198,plain,
( sK25 = sK26
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0)
| ~ spl31_13
| ~ spl31_17 ),
inference(forward_subsumption_resolution,[],[f2916,f635]) ).
fof(f3207,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0)
| ~ spl31_13
| ~ spl31_17 ),
inference(forward_subsumption_resolution,[],[f3198,f435]) ).
fof(f3212,plain,
( ~ aElementOf0(sK26,szNzAzT0)
| ~ spl31_13
| ~ spl31_17 ),
inference(forward_subsumption_resolution,[],[f3207,f437]) ).
fof(f3218,plain,
( $false
| ~ spl31_13
| ~ spl31_17 ),
inference(forward_subsumption_resolution,[],[f3212,f436]) ).
fof(f3219,plain,
( ~ spl31_13
| ~ spl31_17 ),
inference(avatar_contradiction_clause,[],[f3218]) ).
fof(f3530,plain,
( sdtlseqdt0(sK26,sK25)
| ~ aElementOf0(sK26,szNzAzT0)
| ~ aElementOf0(sK25,szNzAzT0)
| spl31_156 ),
inference(resolution,[],[f330,f2640]) ).
fof(f3531,plain,
( sdtlseqdt0(sK25,sK26)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0)
| spl31_4
| spl31_144
| ~ spl31_152 ),
inference(resolution,[],[f330,f2666]) ).
fof(f3556,plain,
( ~ aElementOf0(sK26,szNzAzT0)
| ~ aElementOf0(sK25,szNzAzT0)
| spl31_17
| spl31_156 ),
inference(forward_subsumption_resolution,[],[f3530,f665]) ).
fof(f3560,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl31_17
| spl31_156 ),
inference(forward_subsumption_resolution,[],[f3556,f436]) ).
fof(f3562,plain,
( $false
| spl31_17
| spl31_156 ),
inference(forward_subsumption_resolution,[],[f3560,f437]) ).
fof(f3563,plain,
( spl31_17
| spl31_156 ),
inference(avatar_contradiction_clause,[],[f3562]) ).
fof(f3567,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0)
| spl31_4
| spl31_13
| spl31_144
| ~ spl31_152 ),
inference(forward_subsumption_resolution,[],[f3531,f636]) ).
fof(f3571,plain,
( ~ aElementOf0(sK26,szNzAzT0)
| spl31_4
| spl31_13
| spl31_144
| ~ spl31_152 ),
inference(forward_subsumption_resolution,[],[f3567,f437]) ).
fof(f3575,plain,
( $false
| spl31_4
| spl31_13
| spl31_144
| ~ spl31_152 ),
inference(forward_subsumption_resolution,[],[f3571,f436]) ).
fof(f3576,plain,
( spl31_4
| spl31_13
| spl31_144
| ~ spl31_152 ),
inference(avatar_contradiction_clause,[],[f3575]) ).
cnf(s2,plain,
( ~ spl31_1
| ~ spl31_3 ),
inference(sat_conversion,[],[f501]) ).
cnf(s3,plain,
spl31_1,
inference(sat_conversion,[],[f502]) ).
cnf(s5,plain,
( spl31_7
| ~ spl31_8
| spl31_9 ),
inference(sat_conversion,[],[f533]) ).
cnf(s6,plain,
spl31_8,
inference(sat_conversion,[],[f551]) ).
cnf(s10,plain,
( spl31_3
| ~ spl31_7 ),
inference(sat_conversion,[],[f600]) ).
cnf(s11,plain,
( spl31_3
| ~ spl31_4 ),
inference(sat_conversion,[],[f613]) ).
cnf(s124,plain,
( ~ spl31_139
| ~ spl31_144 ),
inference(sat_conversion,[],[f2525]) ).
cnf(s125,plain,
( ~ spl31_140
| ~ spl31_145 ),
inference(sat_conversion,[],[f2530]) ).
cnf(s126,plain,
( ~ spl31_9
| spl31_140 ),
inference(sat_conversion,[],[f2534]) ).
cnf(s128,plain,
( ~ spl31_9
| spl31_139 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s133,plain,
( ~ spl31_9
| spl31_145
| ~ spl31_154
| ~ spl31_156 ),
inference(sat_conversion,[],[f2644]) ).
cnf(s135,plain,
spl31_154,
inference(sat_conversion,[],[f2648]) ).
cnf(s137,plain,
spl31_152,
inference(sat_conversion,[],[f2665]) ).
cnf(s187,plain,
( ~ spl31_13
| ~ spl31_17 ),
inference(sat_conversion,[],[f3219]) ).
cnf(s201,plain,
( spl31_17
| spl31_156 ),
inference(sat_conversion,[],[f3563]) ).
cnf(s202,plain,
( spl31_4
| spl31_13
| spl31_144
| ~ spl31_152 ),
inference(sat_conversion,[],[f3576]) ).
cnf(s205,plain,
( ~ spl31_9
| spl31_145
| ~ spl31_156 ),
inference(rat,[],[s133,s135]) ).
cnf(s216,plain,
( spl31_7
| spl31_9 ),
inference(rat,[],[s5,s6]) ).
cnf(s218,plain,
~ spl31_3,
inference(rat,[],[s2,s3]) ).
cnf(s219,plain,
~ spl31_4,
inference(rat,[],[s11,s218]) ).
cnf(s220,plain,
~ spl31_7,
inference(rat,[],[s10,s218]) ).
cnf(s223,plain,
spl31_9,
inference(rat,[],[s216,s220]) ).
cnf(s224,plain,
spl31_139,
inference(rat,[],[s128,s223]) ).
cnf(s225,plain,
spl31_140,
inference(rat,[],[s126,s223]) ).
cnf(s228,plain,
~ spl31_144,
inference(rat,[],[s124,s224]) ).
cnf(s232,plain,
~ spl31_145,
inference(rat,[],[s125,s225]) ).
cnf(s237,plain,
spl31_13,
inference(rat,[],[s202,s137,s219,s228]) ).
cnf(s243,plain,
~ spl31_156,
inference(rat,[],[s205,s223,s232]) ).
cnf(s244,plain,
~ spl31_17,
inference(rat,[],[s187,s237]) ).
cnf(s246,plain,
$false,
inference(rat,[],[s201,s243,s244]) ).
fof(f3578,plain,
$false,
inference(avatar_sat_refutation,[],[s246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM575+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:29:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 8.62/2.12 % (2919886)Detected formulas, will run a generic FOF schedule.
% 8.62/2.12 % (2919897)dis-21_1_sil=8000:lcm=predicate:random_seed=700423885: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)
% 8.62/2.12 % (2919897)Instruction limit reached!
% 8.62/2.12 % (2919897)------------------------------
% 8.62/2.12 % (2919897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.12 % (2919897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.12 % (2919897)CaDiCaL version: 2.1.3
% 8.62/2.12 % (2919897)Termination reason: Instruction limit
% 8.62/2.12 % (2919897)Termination phase: Saturation
% 8.62/2.12 % (2919897)Time elapsed: 0.034 s
% 8.62/2.12 % (2919897)Peak memory usage: 88 MB
% 8.62/2.12 % (2919897)Instructions burned: 129 (million)
% 8.62/2.12 % (2919892)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=2838861688:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.62/2.12 % (2919895)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1877667182:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.62/2.12 % (2919891)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=318018297:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.62/2.12 % (2919893)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=3554334330:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.62/2.12 % (2919894)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=620417221:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.62/2.12 % (2919896)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3939785278:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.62/2.12 % (2919894)Instruction limit reached!
% 8.62/2.12 % (2919894)------------------------------
% 8.62/2.12 % (2919894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.12 % (2919895)Instruction limit reached!
% 8.62/2.12 % (2919895)------------------------------
% 8.62/2.12 % (2919895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.12 % (2919894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.12 % (2919895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.12 % (2919895)CaDiCaL version: 2.1.3
% 8.62/2.12 % (2919894)CaDiCaL version: 2.1.3
% 8.62/2.12 % (2919895)Termination reason: Instruction limit
% 8.62/2.12 % (2919895)Termination phase: Saturation
% 8.62/2.12 % (2919894)Termination reason: Instruction limit
% 8.62/2.12 % (2919894)Termination phase: Saturation
% 8.62/2.12 % (2919895)Time elapsed: 0.073 s
% 8.62/2.12 % (2919894)Time elapsed: 0.073 s
% 8.62/2.12 % (2919895)Peak memory usage: 88 MB
% 8.62/2.12 % (2919894)Peak memory usage: 89 MB
% 8.62/2.12 % (2919894)Instructions burned: 110 (million)
% 8.62/2.12 % (2919895)Instructions burned: 121 (million)
% 8.62/2.12 % (2919899)lrs+10_1_sil=8000:sp=occurrence:random_seed=4187220078:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.62/2.12 % (2919896)Instruction limit reached!
% 8.62/2.13 % (2919896)------------------------------
% 8.62/2.13 % (2919896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919896)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919896)Termination reason: Instruction limit
% 8.62/2.13 % (2919896)Termination phase: Saturation
% 8.62/2.13 % (2919896)Time elapsed: 0.102 s
% 8.62/2.13 % (2919896)Peak memory usage: 90 MB
% 8.62/2.13 % (2919896)Instructions burned: 139 (million)
% 8.62/2.13 % (2919899)Instruction limit reached!
% 8.62/2.13 % (2919899)------------------------------
% 8.62/2.13 % (2919899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919899)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919899)Termination reason: Instruction limit
% 8.62/2.13 % (2919899)Termination phase: Saturation
% 8.62/2.13 % (2919899)Time elapsed: 0.103 s
% 8.62/2.13 % (2919899)Peak memory usage: 92 MB
% 8.62/2.13 % (2919899)Instructions burned: 286 (million)
% 8.62/2.13 % (2919907)lrs+1011_1_sil=32000:sp=occurrence:random_seed=207384742:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.62/2.13 % (2919906)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3226782905:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.62/2.13 % (2919906)Refutation not found, incomplete strategy
% 8.62/2.13 % (2919906)------------------------------
% 8.62/2.13 % (2919906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919906)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919906)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.13 % (2919906)Time elapsed: 0.005 s
% 8.62/2.13 % (2919906)Peak memory usage: 89 MB
% 8.62/2.13 % (2919906)Instructions burned: 5 (million)
% 8.62/2.13 % (2919909)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=3732586463:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.62/2.13 % (2919910)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3398759551:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.62/2.13 % (2919910)Instruction limit reached!
% 8.62/2.13 % (2919910)------------------------------
% 8.62/2.13 % (2919910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919910)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919910)Termination reason: Instruction limit
% 8.62/2.13 % (2919910)Termination phase: Saturation
% 8.62/2.13 % (2919910)Time elapsed: 0.093 s
% 8.62/2.13 % (2919910)Peak memory usage: 89 MB
% 8.62/2.13 % (2919910)Instructions burned: 298 (million)
% 8.62/2.13 % (2919909)Instruction limit reached!
% 8.62/2.13 % (2919909)------------------------------
% 8.62/2.13 % (2919909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919909)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919909)Termination reason: Instruction limit
% 8.62/2.13 % (2919909)Termination phase: Saturation
% 8.62/2.13 % (2919909)Time elapsed: 0.150 s
% 8.62/2.13 % (2919909)Peak memory usage: 92 MB
% 8.62/2.13 % (2919909)Instructions burned: 249 (million)
% 8.62/2.13 % (2919907)Instruction limit reached!
% 8.62/2.13 % (2919907)------------------------------
% 8.62/2.13 % (2919907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919907)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919907)Termination reason: Instruction limit
% 8.62/2.13 % (2919907)Termination phase: Saturation
% 8.62/2.13 % (2919907)Time elapsed: 0.227 s
% 8.62/2.13 % (2919907)Peak memory usage: 92 MB
% 8.62/2.13 % (2919907)Instructions burned: 325 (million)
% 8.62/2.13 % (2919906)------------------------------
% 8.62/2.13 % (2919906)------------------------------
% 8.62/2.13 % (2919915)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2900106671:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.62/2.13 % (2919916)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1871950016:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.62/2.13 % (2919917)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=500168402:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.62/2.13 % (2919919)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2634262553:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.62/2.13 % (2919916)Instruction limit reached!
% 8.62/2.13 % (2919916)------------------------------
% 8.62/2.13 % (2919916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919916)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919916)Termination reason: Instruction limit
% 8.62/2.13 % (2919916)Termination phase: Saturation
% 8.62/2.13 % (2919916)Time elapsed: 0.077 s
% 8.62/2.13 % (2919916)Peak memory usage: 91 MB
% 8.62/2.13 % (2919916)Instructions burned: 114 (million)
% 8.62/2.13 % (2919917)Instruction limit reached!
% 8.62/2.13 % (2919917)------------------------------
% 8.62/2.13 % (2919917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919917)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919917)Termination reason: Instruction limit
% 8.62/2.13 % (2919917)Termination phase: Saturation
% 8.62/2.13 % (2919917)Time elapsed: 0.069 s
% 8.62/2.13 % (2919917)Peak memory usage: 89 MB
% 8.62/2.13 % (2919917)Instructions burned: 127 (million)
% 8.62/2.13 % (2919919)Instruction limit reached!
% 8.62/2.13 % (2919919)------------------------------
% 8.62/2.13 % (2919919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919919)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919919)Termination reason: Instruction limit
% 8.62/2.13 % (2919919)Termination phase: Saturation
% 8.62/2.13 % (2919919)Time elapsed: 0.070 s
% 8.62/2.13 % (2919919)Peak memory usage: 89 MB
% 8.62/2.13 % (2919919)Instructions burned: 115 (million)
% 8.62/2.13 % (2919923)lrs+10_1_sil=8000:sp=occurrence:random_seed=929065483:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.62/2.13 % (2919924)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2011346949:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.62/2.13 % (2919925)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4231962774:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.62/2.13 % (2919891)First to succeed.
% 8.62/2.13 % (2919891)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2919886"
% 8.62/2.13 % (2919924)Instruction limit reached!
% 8.62/2.13 % (2919924)------------------------------
% 8.62/2.13 % (2919924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.13 % (2919924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.13 % (2919924)CaDiCaL version: 2.1.3
% 8.62/2.13 % (2919924)Termination reason: Instruction limit
% 8.62/2.13 % (2919924)Termination phase: Saturation
% 8.62/2.13 % (2919924)Time elapsed: 0.264 s
% 8.62/2.13 % (2919924)Peak memory usage: 92 MB
% 8.62/2.13 % (2919924)Instructions burned: 438 (million)
% 8.62/2.13 % (2919891)Refutation found. Thanks to Tanya!
% 8.62/2.13 % SZS status Theorem for theBenchmark
% 8.62/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.52/2.32 % (2919891)------------------------------
% 9.52/2.32 % (2919891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.32 % (2919891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.32 % (2919891)CaDiCaL version: 2.1.3
% 9.52/2.32 % (2919891)Termination reason: Refutation
% 9.52/2.32 % (2919891)Time elapsed: 0.850 s
% 9.52/2.32 % (2919891)Peak memory usage: 132 MB
% 9.52/2.32 % (2919891)Instructions burned: 1247 (million)
% 9.52/2.32 % (2919891)------------------------------
% 9.52/2.32 % (2919891)------------------------------
% 9.52/2.32 % (2919886)Success in time 1.257 s
% 9.52/2.32 % Vampire exiting
%------------------------------------------------------------------------------