%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM572+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 10.20s 7.10s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 46
% Syntax : Number of formulae : 326 ( 47 unt; 27 def)
% Number of atoms : 1189 ( 104 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1521 ( 658 ~; 673 |; 120 &)
% ( 36 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 23 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 270 ( 0 sgn 254 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f8,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> X0 != szszuzczcdt0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f83,conjecture,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [X2,X3] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( sdtlseqdt0(X3,X2)
=> ( iLess0(X2,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3)) ) ) )
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f84,negated_conjecture,
~ ! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [X2,X3] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( sdtlseqdt0(X3,X2)
=> ( iLess0(X2,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3)) ) ) )
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f83]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f94,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f95,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f94]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f101,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f104,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f105,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(flattening,[],[f104]) ).
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(ennf_transformation,[],[f16]) ).
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(flattening,[],[f108]) ).
fof(f124,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f125,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( X0 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f127,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f131,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f133,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f134,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f133]) ).
fof(f137,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f138,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f151,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(f152,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f151]) ).
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(ennf_transformation,[],[f81]) ).
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(flattening,[],[f193]) ).
fof(f195,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f196,plain,
? [X0,X1] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2,X3] :
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3))
| ~ iLess0(X2,X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& sdtlseqdt0(X1,X0)
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f197,plain,
? [X0,X1] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2,X3] :
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3))
| ~ iLess0(X2,X0)
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& sdtlseqdt0(X1,X0)
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f196]) ).
fof(f201,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(f202,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(f203,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f109,f202,f201]) ).
fof(f208,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,[],[f98]) ).
fof(f209,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,[],[f208]) ).
fof(f210,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,[],[f209]) ).
fof(f211,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))],[f210]) ).
fof(f218,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,[],[f202]) ).
fof(f219,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,[],[f218]) ).
fof(f220,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,[],[f201]) ).
fof(f221,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,[],[f220]) ).
fof(f222,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,[],[f221]) ).
fof(f223,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))],[f222]) ).
fof(f224,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))],[f125]) ).
fof(f229,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,[],[f152]) ).
fof(f230,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,[],[f229]) ).
fof(f231,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,[],[f230]) ).
fof(f232,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))],[f231]) ).
fof(f264,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtlpdtrp0(xN,sK26))
& ! [X2,X3] :
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3))
| ~ iLess0(X2,sK25)
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& sdtlseqdt0(sK26,sK25)
& aElementOf0(sK25,szNzAzT0)
& aElementOf0(sK26,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f197]) ).
fof(f265,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f269,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f272,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f273,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f274,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f275,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f277,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f292,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f295,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f303,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f311,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f316,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f224]) ).
fof(f317,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f318,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f319,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f323,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f325,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f327,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f328,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f340,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f232]) ).
fof(f425,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,[],[f194]) ).
fof(f429,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f430,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f431,plain,
aElementOf0(sK26,szNzAzT0),
inference(cnf_transformation,[],[f264]) ).
fof(f432,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f264]) ).
fof(f433,plain,
sdtlseqdt0(sK26,sK25),
inference(cnf_transformation,[],[f264]) ).
fof(f434,plain,
! [X2,X3] :
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3))
| ~ iLess0(X2,sK25)
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f435,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtlpdtrp0(xN,sK26)),
inference(cnf_transformation,[],[f264]) ).
fof(f441,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f292]) ).
fof(f444,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f340]) ).
fof(f473,definition,
sF27 = sdtlpdtrp0(xN,sK25),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f474,plain,
sdtlpdtrp0(xN,sK25) = sF27,
inference(reorient_equations,[],[f473]) ).
fof(f475,definition,
sF28 = sdtlpdtrp0(xN,sK26),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f476,plain,
sdtlpdtrp0(xN,sK26) = sF28,
inference(reorient_equations,[],[f475]) ).
fof(f477,plain,
~ aSubsetOf0(sF27,sF28),
inference(definition_folding,[],[f435,f476,f474]) ).
fof(f478,definition,
! [X2] : sF29(X2) = sdtlpdtrp0(xN,X2),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f479,plain,
! [X2] : sdtlpdtrp0(xN,X2) = sF29(X2),
inference(reorient_equations,[],[f478]) ).
fof(f480,plain,
! [X2,X3] :
( aSubsetOf0(sF29(X2),sF29(X3))
| ~ iLess0(X2,sK25)
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(definition_folding,[],[f434,f479,f479]) ).
fof(f483,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,[],[f425,f430]) ).
fof(f500,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f483,f429]) ).
fof(f502,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sF29(X0),szmzizndt0(sF29(X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f500,f479]) ).
fof(f503,plain,
! [X0] :
( aSubsetOf0(sF29(szszuzczcdt0(X0)),sdtmndt0(sF29(X0),szmzizndt0(sF29(X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f502,f479]) ).
fof(f506,plain,
sF28 = sF29(sK26),
inference(superposition,[],[f476,f479]) ).
fof(f507,plain,
sF27 = sF29(sK25),
inference(superposition,[],[f474,f479]) ).
fof(f513,plain,
( ~ sdtlseqdt0(sK25,sK26)
| sK25 = sK26
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0) ),
inference(resolution,[],[f325,f433]) ).
fof(f514,plain,
( ~ sdtlseqdt0(sK25,sK26)
| sK25 = sK26
| ~ aElementOf0(sK26,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f513,f432]) ).
fof(f515,plain,
( ~ sdtlseqdt0(sK25,sK26)
| sK25 = sK26 ),
inference(forward_subsumption_resolution,[],[f514,f431]) ).
fof(f517,definition,
( spl30_4
<=> sK25 = sK26 ),
introduced(definition,[new_symbols(definition,[spl30_4])],[avatar_definition]) ).
fof(f519,plain,
( sK25 = sK26
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f521,definition,
( spl30_5
<=> sdtlseqdt0(sK25,sK26) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f523,plain,
( ~ sdtlseqdt0(sK25,sK26)
| spl30_5 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,plain,
( spl30_4
| ~ spl30_5 ),
inference(avatar_split_clause,[],[f515,f521,f517]) ).
fof(f525,plain,
( aSubsetOf0(sF28,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0) ),
inference(superposition,[],[f430,f476]) ).
fof(f526,plain,
( aSubsetOf0(sF27,szNzAzT0)
| ~ aElementOf0(sK25,szNzAzT0) ),
inference(superposition,[],[f430,f474]) ).
fof(f527,plain,
! [X0] :
( aSubsetOf0(sF29(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f430,f479]) ).
fof(f528,plain,
aSubsetOf0(sF27,szNzAzT0),
inference(forward_subsumption_resolution,[],[f526,f432]) ).
fof(f529,plain,
aSubsetOf0(sF28,szNzAzT0),
inference(forward_subsumption_resolution,[],[f525,f431]) ).
fof(f532,plain,
! [X0] :
( aSubsetOf0(sF29(X0),sF28)
| ~ iLess0(X0,sK25)
| ~ sdtlseqdt0(sK26,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK26,szNzAzT0) ),
inference(superposition,[],[f480,f506]) ).
fof(f535,plain,
! [X0] :
( aSubsetOf0(sF29(X0),sF28)
| ~ iLess0(X0,sK25)
| ~ sdtlseqdt0(sK26,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f532,f431]) ).
fof(f614,plain,
( aSet0(sF27)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f273,f528]) ).
fof(f615,plain,
( aSet0(sF28)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f273,f529]) ).
fof(f616,plain,
! [X0] :
( aSet0(sF29(X0))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f273,f527]) ).
fof(f622,definition,
( spl30_16
<=> aSet0(sF28) ),
introduced(definition,[new_symbols(definition,[spl30_16])],[avatar_definition]) ).
fof(f623,plain,
( aSet0(sF28)
| ~ spl30_16 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f630,definition,
( spl30_18
<=> aSet0(sF27) ),
introduced(definition,[new_symbols(definition,[spl30_18])],[avatar_definition]) ).
fof(f631,plain,
( aSet0(sF27)
| ~ spl30_18 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f645,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sF29(X0)) ),
inference(forward_subsumption_resolution,[],[f616,f311]) ).
fof(f646,plain,
aSet0(sF28),
inference(forward_subsumption_resolution,[],[f615,f311]) ).
fof(f647,plain,
aSet0(sF27),
inference(forward_subsumption_resolution,[],[f614,f311]) ).
fof(f649,plain,
spl30_16,
inference(avatar_split_clause,[],[f646,f622]) ).
fof(f650,plain,
spl30_18,
inference(avatar_split_clause,[],[f647,f630]) ).
fof(f666,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF29(X1))
| aElementOf0(X0,sF28)
| ~ aSet0(sF28)
| ~ iLess0(X1,sK25)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f272,f535]) ).
fof(f670,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sF29(X1))
| aElementOf0(X0,sF28)
| ~ iLess0(X1,sK25)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl30_16 ),
inference(forward_subsumption_resolution,[],[f666,f623]) ).
fof(f702,plain,
( sK25 = szszuzczcdt0(sK8(sK25))
| sz00 = sK25 ),
inference(resolution,[],[f316,f432]) ).
fof(f716,definition,
( spl30_24
<=> sz00 = sK25 ),
introduced(definition,[new_symbols(definition,[spl30_24])],[avatar_definition]) ).
fof(f717,plain,
( sz00 != sK25
| spl30_24 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f718,plain,
( sz00 = sK25
| ~ spl30_24 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f720,definition,
( spl30_25
<=> sK25 = szszuzczcdt0(sK8(sK25)) ),
introduced(definition,[new_symbols(definition,[spl30_25])],[avatar_definition]) ).
fof(f722,plain,
( sK25 = szszuzczcdt0(sK8(sK25))
| ~ spl30_25 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f723,plain,
( spl30_24
| spl30_25 ),
inference(avatar_split_clause,[],[f702,f720,f716]) ).
fof(f777,plain,
( ~ sdtlseqdt0(sz00,sK26)
| spl30_5
| ~ spl30_24 ),
inference(forward_demodulation,[],[f523,f718]) ).
fof(f857,plain,
sdtlseqdt0(sz00,sK26),
inference(resolution,[],[f319,f431]) ).
fof(f860,plain,
( $false
| spl30_5
| ~ spl30_24 ),
inference(forward_subsumption_resolution,[],[f857,f777]) ).
fof(f861,plain,
( spl30_5
| ~ spl30_24 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f887,plain,
( sF28 = sF29(sK25)
| ~ spl30_4 ),
inference(superposition,[],[f506,f519]) ).
fof(f893,plain,
( sF27 = sF28
| ~ spl30_4 ),
inference(forward_demodulation,[],[f887,f507]) ).
fof(f895,plain,
( ~ aSubsetOf0(sF27,sF27)
| ~ spl30_4 ),
inference(superposition,[],[f477,f893]) ).
fof(f908,plain,
( ~ aSet0(sF27)
| ~ spl30_4 ),
inference(resolution,[],[f895,f277]) ).
fof(f909,plain,
( $false
| ~ spl30_4
| ~ spl30_18 ),
inference(forward_subsumption_resolution,[],[f908,f631]) ).
fof(f910,plain,
( ~ spl30_4
| ~ spl30_18 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f911,plain,
( aSubsetOf0(sF29(sK25),sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25)))))
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25 ),
inference(superposition,[],[f503,f722]) ).
fof(f912,plain,
( ! [X0] :
( sdtlseqdt0(sK25,X0)
| sdtlseqdt0(X0,sK8(sK25))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK8(sK25),szNzAzT0) )
| ~ spl30_25 ),
inference(superposition,[],[f327,f722]) ).
fof(f913,plain,
( iLess0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25 ),
inference(superposition,[],[f328,f722]) ).
fof(f915,definition,
( spl30_39
<=> aElementOf0(sK8(sK25),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl30_39])],[avatar_definition]) ).
fof(f916,plain,
( aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_39 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f917,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| spl30_39 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl30_40
<=> iLess0(sK8(sK25),sK25) ),
introduced(definition,[new_symbols(definition,[spl30_40])],[avatar_definition]) ).
fof(f921,plain,
( iLess0(sK8(sK25),sK25)
| ~ spl30_40 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f922,plain,
( ~ spl30_39
| spl30_40
| ~ spl30_25 ),
inference(avatar_split_clause,[],[f913,f720,f919,f915]) ).
fof(f924,definition,
( spl30_41
<=> ! [X0] :
( sdtlseqdt0(sK25,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK8(sK25)) ) ),
introduced(definition,[new_symbols(definition,[spl30_41])],[avatar_definition]) ).
fof(f925,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK8(sK25))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK25,X0) )
| ~ spl30_41 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f926,plain,
( ~ spl30_39
| spl30_41
| ~ spl30_25 ),
inference(avatar_split_clause,[],[f912,f720,f924,f915]) ).
fof(f927,plain,
( aSubsetOf0(sF27,sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25)))))
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25 ),
inference(forward_demodulation,[],[f911,f507]) ).
fof(f929,definition,
( spl30_42
<=> aSubsetOf0(sF27,sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25))))) ),
introduced(definition,[new_symbols(definition,[spl30_42])],[avatar_definition]) ).
fof(f931,plain,
( aSubsetOf0(sF27,sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25)))))
| ~ spl30_42 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( ~ spl30_39
| spl30_42
| ~ spl30_25 ),
inference(avatar_split_clause,[],[f927,f720,f929,f915]) ).
fof(f948,plain,
( sz00 = sK25
| ~ aElementOf0(sK25,szNzAzT0)
| spl30_39 ),
inference(resolution,[],[f317,f917]) ).
fof(f953,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| spl30_24
| spl30_39 ),
inference(forward_subsumption_resolution,[],[f948,f717]) ).
fof(f955,plain,
( $false
| spl30_24
| spl30_39 ),
inference(forward_subsumption_resolution,[],[f953,f432]) ).
fof(f956,plain,
( spl30_24
| spl30_39 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f962,plain,
( aSet0(sF29(sK8(sK25)))
| ~ spl30_39 ),
inference(resolution,[],[f916,f645]) ).
fof(f985,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25)))))
| ~ aSet0(sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25))))) )
| ~ spl30_42 ),
inference(resolution,[],[f931,f272]) ).
fof(f988,definition,
( spl30_47
<=> aSet0(sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25))))) ),
introduced(definition,[new_symbols(definition,[spl30_47])],[avatar_definition]) ).
fof(f990,plain,
( ~ aSet0(sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25)))))
| spl30_47 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f992,definition,
( spl30_48
<=> ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25))))) ) ),
introduced(definition,[new_symbols(definition,[spl30_48])],[avatar_definition]) ).
fof(f993,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sF29(sK8(sK25)),szmzizndt0(sF29(sK8(sK25)))))
| ~ aElementOf0(X0,sF27) )
| ~ spl30_48 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f994,plain,
( ~ spl30_47
| spl30_48
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f985,f929,f992,f988]) ).
fof(f1042,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,sF29(X1))
| aSubsetOf0(X0,sF28)
| ~ aSet0(X0)
| ~ aSet0(sF29(X1))
| ~ aSet0(sF28)
| ~ iLess0(X1,sK25)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f279,f535]) ).
fof(f1046,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,sF29(X1))
| aSubsetOf0(X0,sF28)
| ~ aSet0(sF29(X1))
| ~ aSet0(sF28)
| ~ iLess0(X1,sK25)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1042,f273]) ).
fof(f1056,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,sF29(X1))
| aSubsetOf0(X0,sF28)
| ~ aSet0(sF28)
| ~ iLess0(X1,sK25)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1046,f645]) ).
fof(f1066,plain,
( ! [X0,X1] :
( ~ aSubsetOf0(X0,sF29(X1))
| aSubsetOf0(X0,sF28)
| ~ iLess0(X1,sK25)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl30_16 ),
inference(forward_subsumption_resolution,[],[f1056,f623]) ).
fof(f1077,plain,
( sdtlseqdt0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25 ),
inference(superposition,[],[f323,f722]) ).
fof(f1080,plain,
( sdtlseqdt0(sK8(sK25),sK25)
| ~ spl30_25
| ~ spl30_39 ),
inference(forward_subsumption_resolution,[],[f1077,f916]) ).
fof(f1085,plain,
( ! [X0,X1] :
( aSubsetOf0(sF29(X0),sF28)
| ~ iLess0(X1,sK25)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X0,sK25)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) )
| ~ spl30_16 ),
inference(resolution,[],[f1066,f480]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ iLess0(X1,sK25)
| aSubsetOf0(sF29(X0),sF28)
| ~ sdtlseqdt0(sK26,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X0,sK25)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl30_16 ),
inference(duplicate_literal_removal,[],[f1085]) ).
fof(f1091,plain,
( ! [X0] :
( aSubsetOf0(sF29(X0),sF28)
| ~ sdtlseqdt0(sK26,sK8(sK25))
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ iLess0(X0,sK25)
| ~ sdtlseqdt0(sK8(sK25),X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl30_16
| ~ spl30_40 ),
inference(resolution,[],[f1090,f921]) ).
fof(f1092,plain,
( ! [X0] :
( aSubsetOf0(sF29(X0),sF28)
| ~ sdtlseqdt0(sK26,sK8(sK25))
| ~ iLess0(X0,sK25)
| ~ sdtlseqdt0(sK8(sK25),X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl30_16
| ~ spl30_39
| ~ spl30_40 ),
inference(forward_subsumption_resolution,[],[f1091,f916]) ).
fof(f1094,definition,
( spl30_51
<=> sdtlseqdt0(sK26,sK8(sK25)) ),
introduced(definition,[new_symbols(definition,[spl30_51])],[avatar_definition]) ).
fof(f1095,plain,
( sdtlseqdt0(sK26,sK8(sK25))
| ~ spl30_51 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1096,plain,
( ~ sdtlseqdt0(sK26,sK8(sK25))
| spl30_51 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1098,definition,
( spl30_52
<=> ! [X0] :
( aSubsetOf0(sF29(X0),sF28)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sK8(sK25),X0)
| ~ iLess0(X0,sK25) ) ),
introduced(definition,[new_symbols(definition,[spl30_52])],[avatar_definition]) ).
fof(f1099,plain,
( ! [X0] :
( ~ sdtlseqdt0(sK8(sK25),X0)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sF29(X0),sF28)
| ~ iLess0(X0,sK25) )
| ~ spl30_52 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1100,plain,
( ~ spl30_51
| spl30_52
| ~ spl30_16
| ~ spl30_39
| ~ spl30_40 ),
inference(avatar_split_clause,[],[f1092,f919,f915,f622,f1098,f1094]) ).
fof(f1122,definition,
( spl30_53
<=> sdtlseqdt0(sK25,sK8(sK25)) ),
introduced(definition,[new_symbols(definition,[spl30_53])],[avatar_definition]) ).
fof(f1123,plain,
( sdtlseqdt0(sK25,sK8(sK25))
| ~ spl30_53 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1124,plain,
( ~ sdtlseqdt0(sK25,sK8(sK25))
| spl30_53 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1208,plain,
( ~ sdtlseqdt0(sK25,sK8(sK25))
| sK25 = sK8(sK25)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25
| ~ spl30_39 ),
inference(resolution,[],[f1080,f325]) ).
fof(f1308,plain,
( ~ aElementOf0(sK26,szNzAzT0)
| sdtlseqdt0(sK25,sK26)
| ~ spl30_41
| spl30_51 ),
inference(resolution,[],[f1096,f925]) ).
fof(f1309,plain,
( sdtlseqdt0(sK25,sK26)
| ~ spl30_41
| spl30_51 ),
inference(forward_subsumption_resolution,[],[f1308,f431]) ).
fof(f1310,plain,
( $false
| spl30_5
| ~ spl30_41
| spl30_51 ),
inference(forward_subsumption_resolution,[],[f1309,f523]) ).
fof(f1311,plain,
( spl30_5
| ~ spl30_41
| spl30_51 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1314,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| aSubsetOf0(sF29(sK8(sK25)),sF28)
| ~ iLess0(sK8(sK25),sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| sdtlseqdt0(sK25,sK8(sK25))
| ~ spl30_41
| ~ spl30_52 ),
inference(resolution,[],[f1099,f925]) ).
fof(f1316,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| aSubsetOf0(sF29(sK8(sK25)),sF28)
| ~ iLess0(sK8(sK25),sK25)
| sdtlseqdt0(sK25,sK8(sK25))
| ~ spl30_41
| ~ spl30_52 ),
inference(duplicate_literal_removal,[],[f1314]) ).
fof(f1318,plain,
( aSubsetOf0(sF29(sK8(sK25)),sF28)
| ~ iLess0(sK8(sK25),sK25)
| sdtlseqdt0(sK25,sK8(sK25))
| ~ spl30_39
| ~ spl30_41
| ~ spl30_52 ),
inference(forward_subsumption_resolution,[],[f1316,f916]) ).
fof(f1320,plain,
( aSubsetOf0(sF29(sK8(sK25)),sF28)
| sdtlseqdt0(sK25,sK8(sK25))
| ~ spl30_39
| ~ spl30_40
| ~ spl30_41
| ~ spl30_52 ),
inference(forward_subsumption_resolution,[],[f1318,f921]) ).
fof(f1322,plain,
( aSubsetOf0(sF29(sK8(sK25)),sF28)
| ~ spl30_39
| ~ spl30_40
| ~ spl30_41
| ~ spl30_52
| spl30_53 ),
inference(forward_subsumption_resolution,[],[f1320,f1124]) ).
fof(f1327,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF29(sK8(sK25)))
| aElementOf0(X0,sF28)
| ~ aSet0(sF28) )
| ~ spl30_39
| ~ spl30_40
| ~ spl30_41
| ~ spl30_52
| spl30_53 ),
inference(resolution,[],[f1322,f272]) ).
fof(f1329,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF29(sK8(sK25)))
| aElementOf0(X0,sF28) )
| ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_41
| ~ spl30_52
| spl30_53 ),
inference(forward_subsumption_resolution,[],[f1327,f623]) ).
fof(f1398,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f441,f298]) ).
fof(f1403,plain,
( ~ sP3(szmzizndt0(sF29(sK8(sK25))),sF29(sK8(sK25)))
| spl30_47 ),
inference(resolution,[],[f1398,f990]) ).
fof(f1538,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f295,f441]) ).
fof(f2029,plain,
( ~ aSet0(sF29(sK8(sK25)))
| ~ aElement0(szmzizndt0(sF29(sK8(sK25))))
| spl30_47 ),
inference(resolution,[],[f1403,f303]) ).
fof(f2030,plain,
( ~ aElement0(szmzizndt0(sF29(sK8(sK25))))
| ~ spl30_39
| spl30_47 ),
inference(forward_subsumption_resolution,[],[f2029,f962]) ).
fof(f2032,plain,
! [X0] :
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f270,f429]) ).
fof(f2049,plain,
! [X0] :
( ~ aSet0(sF29(X0))
| ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f2032,f479]) ).
fof(f2051,plain,
! [X0] :
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2049,f645]) ).
fof(f2052,plain,
! [X0] :
( ~ isFinite0(sF29(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f2051,f479]) ).
fof(f2693,plain,
( sK25 != sK8(sK25)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25 ),
inference(superposition,[],[f318,f722]) ).
fof(f2696,plain,
( sK25 != sK8(sK25)
| ~ spl30_25
| ~ spl30_39 ),
inference(forward_subsumption_resolution,[],[f2693,f916]) ).
fof(f3751,definition,
( spl30_217
<=> ! [X0] :
( aElementOf0(sK5(X0,sF27),sF28)
| ~ aSet0(X0)
| aSubsetOf0(sF27,X0) ) ),
introduced(definition,[new_symbols(definition,[spl30_217])],[avatar_definition]) ).
fof(f3752,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF27),sF28)
| ~ aSet0(X0)
| aSubsetOf0(sF27,X0) )
| ~ spl30_217 ),
inference(avatar_component_clause,[],[f3751]) ).
fof(f3763,definition,
( spl30_220
<=> ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF28) ) ),
introduced(definition,[new_symbols(definition,[spl30_220])],[avatar_definition]) ).
fof(f3764,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF28) )
| ~ spl30_220 ),
inference(avatar_component_clause,[],[f3763]) ).
fof(f4699,plain,
( aElementOf0(szmzizndt0(sF29(sK8(sK25))),sF28)
| ~ aSubsetOf0(sF29(sK8(sK25)),szNzAzT0)
| slcrc0 = sF29(sK8(sK25))
| ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_41
| ~ spl30_52
| spl30_53 ),
inference(resolution,[],[f1329,f444]) ).
fof(f4703,definition,
( spl30_315
<=> slcrc0 = sF29(sK8(sK25)) ),
introduced(definition,[new_symbols(definition,[spl30_315])],[avatar_definition]) ).
fof(f4705,plain,
( slcrc0 = sF29(sK8(sK25))
| ~ spl30_315 ),
inference(avatar_component_clause,[],[f4703]) ).
fof(f4707,definition,
( spl30_316
<=> aSubsetOf0(sF29(sK8(sK25)),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl30_316])],[avatar_definition]) ).
fof(f4709,plain,
( ~ aSubsetOf0(sF29(sK8(sK25)),szNzAzT0)
| spl30_316 ),
inference(avatar_component_clause,[],[f4707]) ).
fof(f4711,definition,
( spl30_317
<=> aElementOf0(szmzizndt0(sF29(sK8(sK25))),sF28) ),
introduced(definition,[new_symbols(definition,[spl30_317])],[avatar_definition]) ).
fof(f4713,plain,
( aElementOf0(szmzizndt0(sF29(sK8(sK25))),sF28)
| ~ spl30_317 ),
inference(avatar_component_clause,[],[f4711]) ).
fof(f4714,plain,
( spl30_315
| ~ spl30_316
| spl30_317
| ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_41
| ~ spl30_52
| spl30_53 ),
inference(avatar_split_clause,[],[f4699,f1122,f1098,f924,f919,f915,f622,f4711,f4707,f4703]) ).
fof(f4715,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| spl30_316 ),
inference(resolution,[],[f4709,f527]) ).
fof(f4716,plain,
( $false
| ~ spl30_39
| spl30_316 ),
inference(forward_subsumption_resolution,[],[f4715,f916]) ).
fof(f4717,plain,
( ~ spl30_39
| spl30_316 ),
inference(avatar_contradiction_clause,[],[f4716]) ).
fof(f5159,plain,
( aElement0(szmzizndt0(sF29(sK8(sK25))))
| ~ aSet0(sF28)
| ~ spl30_317 ),
inference(resolution,[],[f4713,f265]) ).
fof(f5160,plain,
( ~ aSet0(sF28)
| ~ spl30_39
| spl30_47
| ~ spl30_317 ),
inference(forward_subsumption_resolution,[],[f5159,f2030]) ).
fof(f5162,plain,
( $false
| ~ spl30_16
| ~ spl30_39
| spl30_47
| ~ spl30_317 ),
inference(forward_subsumption_resolution,[],[f5160,f623]) ).
fof(f5163,plain,
( ~ spl30_16
| ~ spl30_39
| spl30_47
| ~ spl30_317 ),
inference(avatar_contradiction_clause,[],[f5162]) ).
fof(f5221,plain,
( ~ isFinite0(slcrc0)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_315 ),
inference(superposition,[],[f2052,f4705]) ).
fof(f5230,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_315 ),
inference(forward_subsumption_resolution,[],[f5221,f269]) ).
fof(f5245,plain,
( $false
| ~ spl30_39
| ~ spl30_315 ),
inference(forward_subsumption_resolution,[],[f5230,f916]) ).
fof(f5246,plain,
( ~ spl30_39
| ~ spl30_315 ),
inference(avatar_contradiction_clause,[],[f5245]) ).
fof(f5257,plain,
( sK25 = sK8(sK25)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25
| ~ spl30_39
| ~ spl30_53 ),
inference(forward_subsumption_resolution,[],[f1208,f1123]) ).
fof(f5259,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25
| ~ spl30_39
| ~ spl30_53 ),
inference(forward_subsumption_resolution,[],[f5257,f2696]) ).
fof(f5261,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ spl30_25
| ~ spl30_39
| ~ spl30_53 ),
inference(forward_subsumption_resolution,[],[f5259,f432]) ).
fof(f5262,plain,
( $false
| ~ spl30_25
| ~ spl30_39
| ~ spl30_53 ),
inference(forward_subsumption_resolution,[],[f5261,f916]) ).
fof(f5263,plain,
( ~ spl30_25
| ~ spl30_39
| ~ spl30_53 ),
inference(avatar_contradiction_clause,[],[f5262]) ).
fof(f5315,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF29(sK8(sK25)))
| ~ sP3(szmzizndt0(sF29(sK8(sK25))),sF29(sK8(sK25))) )
| ~ spl30_48 ),
inference(resolution,[],[f993,f1538]) ).
fof(f5334,definition,
( spl30_336
<=> sP3(szmzizndt0(sF29(sK8(sK25))),sF29(sK8(sK25))) ),
introduced(definition,[new_symbols(definition,[spl30_336])],[avatar_definition]) ).
fof(f5336,plain,
( ~ sP3(szmzizndt0(sF29(sK8(sK25))),sF29(sK8(sK25)))
| spl30_336 ),
inference(avatar_component_clause,[],[f5334]) ).
fof(f5338,definition,
( spl30_337
<=> ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF29(sK8(sK25))) ) ),
introduced(definition,[new_symbols(definition,[spl30_337])],[avatar_definition]) ).
fof(f5339,plain,
( ! [X0] :
( aElementOf0(X0,sF29(sK8(sK25)))
| ~ aElementOf0(X0,sF27) )
| ~ spl30_337 ),
inference(avatar_component_clause,[],[f5338]) ).
fof(f5340,plain,
( ~ spl30_336
| spl30_337
| ~ spl30_48 ),
inference(avatar_split_clause,[],[f5315,f992,f5338,f5334]) ).
fof(f5350,plain,
( ~ aSet0(sF29(sK8(sK25)))
| ~ aElement0(szmzizndt0(sF29(sK8(sK25))))
| spl30_336 ),
inference(resolution,[],[f5336,f303]) ).
fof(f5351,plain,
( ~ aElement0(szmzizndt0(sF29(sK8(sK25))))
| ~ spl30_39
| spl30_336 ),
inference(forward_subsumption_resolution,[],[f5350,f962]) ).
fof(f5371,plain,
( aElement0(szmzizndt0(sF29(sK8(sK25))))
| ~ aSet0(sF28)
| ~ spl30_317 ),
inference(resolution,[],[f4713,f265]) ).
fof(f5372,plain,
( ~ aSet0(sF28)
| ~ spl30_39
| ~ spl30_317
| spl30_336 ),
inference(forward_subsumption_resolution,[],[f5371,f5351]) ).
fof(f5373,plain,
( $false
| ~ spl30_16
| ~ spl30_39
| ~ spl30_317
| spl30_336 ),
inference(forward_subsumption_resolution,[],[f5372,f623]) ).
fof(f5374,plain,
( ~ spl30_16
| ~ spl30_39
| ~ spl30_317
| spl30_336 ),
inference(avatar_contradiction_clause,[],[f5373]) ).
fof(f5401,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF28)
| ~ iLess0(sK8(sK25),sK25)
| ~ sdtlseqdt0(sK26,sK8(sK25))
| ~ aElementOf0(sK8(sK25),szNzAzT0) )
| ~ spl30_16
| ~ spl30_337 ),
inference(resolution,[],[f5339,f670]) ).
fof(f5408,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF28)
| ~ sdtlseqdt0(sK26,sK8(sK25))
| ~ aElementOf0(sK8(sK25),szNzAzT0) )
| ~ spl30_16
| ~ spl30_40
| ~ spl30_337 ),
inference(forward_subsumption_resolution,[],[f5401,f921]) ).
fof(f5413,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF28)
| ~ aElementOf0(sK8(sK25),szNzAzT0) )
| ~ spl30_16
| ~ spl30_40
| ~ spl30_51
| ~ spl30_337 ),
inference(forward_subsumption_resolution,[],[f5408,f1095]) ).
fof(f5416,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF27)
| aElementOf0(X0,sF28) )
| ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_51
| ~ spl30_337 ),
inference(forward_subsumption_resolution,[],[f5413,f916]) ).
fof(f5417,plain,
( spl30_220
| ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_51
| ~ spl30_337 ),
inference(avatar_split_clause,[],[f5416,f5338,f1094,f919,f915,f622,f3763]) ).
fof(f5422,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF27),sF28)
| ~ aSet0(sF27)
| aSubsetOf0(sF27,X0)
| ~ aSet0(X0) )
| ~ spl30_220 ),
inference(resolution,[],[f3764,f274]) ).
fof(f5423,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF27),sF28)
| aSubsetOf0(sF27,X0)
| ~ aSet0(X0) )
| ~ spl30_18
| ~ spl30_220 ),
inference(forward_subsumption_resolution,[],[f5422,f631]) ).
fof(f5427,plain,
( spl30_217
| ~ spl30_18
| ~ spl30_220 ),
inference(avatar_split_clause,[],[f5423,f3763,f630,f3751]) ).
fof(f5448,plain,
( ~ aSet0(sF28)
| aSubsetOf0(sF27,sF28)
| ~ aSet0(sF27)
| aSubsetOf0(sF27,sF28)
| ~ aSet0(sF28)
| ~ spl30_217 ),
inference(resolution,[],[f3752,f275]) ).
fof(f5455,plain,
( ~ aSet0(sF28)
| aSubsetOf0(sF27,sF28)
| ~ aSet0(sF27)
| ~ spl30_217 ),
inference(duplicate_literal_removal,[],[f5448]) ).
fof(f5459,plain,
( aSubsetOf0(sF27,sF28)
| ~ aSet0(sF27)
| ~ spl30_16
| ~ spl30_217 ),
inference(forward_subsumption_resolution,[],[f5455,f623]) ).
fof(f5463,plain,
( ~ aSet0(sF27)
| ~ spl30_16
| ~ spl30_217 ),
inference(forward_subsumption_resolution,[],[f5459,f477]) ).
fof(f5470,plain,
( $false
| ~ spl30_16
| ~ spl30_18
| ~ spl30_217 ),
inference(forward_subsumption_resolution,[],[f5463,f631]) ).
fof(f5471,plain,
( ~ spl30_16
| ~ spl30_18
| ~ spl30_217 ),
inference(avatar_contradiction_clause,[],[f5470]) ).
cnf(s4,plain,
( spl30_4
| ~ spl30_5 ),
inference(sat_conversion,[],[f524]) ).
cnf(s13,plain,
spl30_16,
inference(sat_conversion,[],[f649]) ).
cnf(s14,plain,
spl30_18,
inference(sat_conversion,[],[f650]) ).
cnf(s16,plain,
( spl30_24
| spl30_25 ),
inference(sat_conversion,[],[f723]) ).
cnf(s30,plain,
( spl30_5
| ~ spl30_24 ),
inference(sat_conversion,[],[f861]) ).
cnf(s35,plain,
( ~ spl30_4
| ~ spl30_18 ),
inference(sat_conversion,[],[f910]) ).
cnf(s36,plain,
( ~ spl30_25
| ~ spl30_39
| spl30_40 ),
inference(sat_conversion,[],[f922]) ).
cnf(s37,plain,
( ~ spl30_25
| ~ spl30_39
| spl30_41 ),
inference(sat_conversion,[],[f926]) ).
cnf(s38,plain,
( ~ spl30_25
| ~ spl30_39
| spl30_42 ),
inference(sat_conversion,[],[f932]) ).
cnf(s39,plain,
( spl30_24
| spl30_39 ),
inference(sat_conversion,[],[f956]) ).
cnf(s43,plain,
( ~ spl30_42
| ~ spl30_47
| spl30_48 ),
inference(sat_conversion,[],[f994]) ).
cnf(s45,plain,
( ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_51
| spl30_52 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s58,plain,
( spl30_5
| ~ spl30_41
| spl30_51 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s270,plain,
( ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_41
| ~ spl30_52
| spl30_53
| spl30_315
| ~ spl30_316
| spl30_317 ),
inference(sat_conversion,[],[f4714]) ).
cnf(s271,plain,
( ~ spl30_39
| spl30_316 ),
inference(sat_conversion,[],[f4717]) ).
cnf(s280,plain,
( ~ spl30_16
| ~ spl30_39
| spl30_47
| ~ spl30_317 ),
inference(sat_conversion,[],[f5163]) ).
cnf(s283,plain,
( ~ spl30_39
| ~ spl30_315 ),
inference(sat_conversion,[],[f5246]) ).
cnf(s285,plain,
( ~ spl30_25
| ~ spl30_39
| ~ spl30_53 ),
inference(sat_conversion,[],[f5263]) ).
cnf(s287,plain,
( ~ spl30_48
| ~ spl30_336
| spl30_337 ),
inference(sat_conversion,[],[f5340]) ).
cnf(s289,plain,
( ~ spl30_16
| ~ spl30_39
| ~ spl30_317
| spl30_336 ),
inference(sat_conversion,[],[f5374]) ).
cnf(s292,plain,
( ~ spl30_16
| ~ spl30_39
| ~ spl30_40
| ~ spl30_51
| spl30_220
| ~ spl30_337 ),
inference(sat_conversion,[],[f5417]) ).
cnf(s294,plain,
( ~ spl30_18
| spl30_217
| ~ spl30_220 ),
inference(sat_conversion,[],[f5427]) ).
cnf(s299,plain,
( ~ spl30_16
| ~ spl30_18
| ~ spl30_217 ),
inference(sat_conversion,[],[f5471]) ).
cnf(s300,plain,
~ spl30_4,
inference(rat,[],[s35,s14]) ).
cnf(s301,plain,
~ spl30_217,
inference(rat,[],[s299,s14,s13]) ).
cnf(s303,plain,
~ spl30_220,
inference(rat,[],[s294,s14,s301]) ).
cnf(s306,plain,
~ spl30_5,
inference(rat,[],[s4,s300]) ).
cnf(s307,plain,
~ spl30_24,
inference(rat,[],[s30,s306]) ).
cnf(s308,plain,
spl30_39,
inference(rat,[],[s39,s307]) ).
cnf(s309,plain,
spl30_25,
inference(rat,[],[s16,s307]) ).
cnf(s310,plain,
~ spl30_315,
inference(rat,[],[s283,s308]) ).
cnf(s311,plain,
spl30_316,
inference(rat,[],[s271,s308]) ).
cnf(s312,plain,
~ spl30_53,
inference(rat,[],[s285,s308,s309]) ).
cnf(s313,plain,
spl30_42,
inference(rat,[],[s38,s308,s309]) ).
cnf(s314,plain,
spl30_41,
inference(rat,[],[s37,s308,s309]) ).
cnf(s315,plain,
spl30_40,
inference(rat,[],[s36,s308,s309]) ).
cnf(s316,plain,
spl30_51,
inference(rat,[],[s58,s306,s314]) ).
cnf(s317,plain,
~ spl30_337,
inference(rat,[],[s292,s315,s303,s308,s13,s316]) ).
cnf(s319,plain,
spl30_52,
inference(rat,[],[s45,s315,s308,s13,s316]) ).
cnf(s320,plain,
spl30_317,
inference(rat,[],[s270,s315,s311,s310,s312,s314,s308,s13,s319]) ).
cnf(s321,plain,
spl30_336,
inference(rat,[],[s289,s308,s13,s320]) ).
cnf(s322,plain,
spl30_47,
inference(rat,[],[s280,s308,s13,s320]) ).
cnf(s323,plain,
~ spl30_48,
inference(rat,[],[s287,s317,s321]) ).
cnf(s324,plain,
$false,
inference(rat,[],[s43,s313,s323,s322]) ).
fof(f5472,plain,
$false,
inference(avatar_sat_refutation,[],[s324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM572+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n017.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sun Sep 27 20:28:42 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.20/7.10 % (2918350)Detected formulas, will run a generic FOF schedule.
% 10.20/7.10 % (2918359)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1469418110:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.20/7.10 % (2918357)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=3730329161:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.20/7.10 % (2918360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3639540656:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.20/7.10 % (2918358)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2645756659:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.20/7.10 % (2918361)dis-21_1_sil=8000:lcm=predicate:random_seed=2227836616: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)
% 10.20/7.10 % (2918355)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=395049633:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.20/7.10 % (2918356)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=3195266369:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.20/7.10 % (2918359)Instruction limit reached!
% 10.20/7.10 % (2918359)------------------------------
% 10.20/7.10 % (2918359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918359)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918359)Termination reason: Instruction limit
% 10.20/7.10 % (2918359)Termination phase: Saturation
% 10.20/7.10 % (2918359)Time elapsed: 0.064 s
% 10.20/7.10 % (2918359)Peak memory usage: 88 MB
% 10.20/7.10 % (2918359)Instructions burned: 120 (million)
% 10.20/7.10 % (2918361)Instruction limit reached!
% 10.20/7.10 % (2918361)------------------------------
% 10.20/7.10 % (2918361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918361)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918361)Termination reason: Instruction limit
% 10.20/7.10 % (2918361)Termination phase: Saturation
% 10.20/7.10 % (2918361)Time elapsed: 0.065 s
% 10.20/7.10 % (2918361)Peak memory usage: 88 MB
% 10.20/7.10 % (2918361)Instructions burned: 131 (million)
% 10.20/7.10 % (2918358)Instruction limit reached!
% 10.20/7.10 % (2918358)------------------------------
% 10.20/7.10 % (2918358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918358)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918358)Termination reason: Instruction limit
% 10.20/7.10 % (2918358)Termination phase: Saturation
% 10.20/7.10 % (2918358)Time elapsed: 0.069 s
% 10.20/7.10 % (2918358)Peak memory usage: 89 MB
% 10.20/7.10 % (2918358)Instructions burned: 110 (million)
% 10.20/7.10 % (2918360)Instruction limit reached!
% 10.20/7.10 % (2918360)------------------------------
% 10.20/7.10 % (2918360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918360)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918360)Termination reason: Instruction limit
% 10.20/7.10 % (2918360)Termination phase: Saturation
% 10.20/7.10 % (2918360)Time elapsed: 0.098 s
% 10.20/7.10 % (2918360)Peak memory usage: 90 MB
% 10.20/7.10 % (2918360)Instructions burned: 139 (million)
% 10.20/7.10 % (2918371)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1998717179:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.20/7.10 % (2918370)lrs+10_1_sil=32000:urr=on:br=off:random_seed=663994526:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.20/7.10 % (2918369)lrs+10_1_sil=8000:sp=occurrence:random_seed=3969929085:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.20/7.10 % (2918370)Refutation not found, incomplete strategy
% 10.20/7.10 % (2918370)------------------------------
% 10.20/7.10 % (2918370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918370)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918370)Termination reason: Refutation not found, incomplete strategy
% 10.20/7.10 % (2918370)Time elapsed: 0.005 s
% 10.20/7.10 % (2918370)Peak memory usage: 89 MB
% 10.20/7.10 % (2918370)Instructions burned: 5 (million)
% 10.20/7.10 % (2918372)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=850294234:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.20/7.10 % (2918370)------------------------------
% 10.20/7.10 % (2918370)------------------------------
% 10.20/7.10 % (2918369)Instruction limit reached!
% 10.20/7.10 % (2918369)------------------------------
% 10.20/7.10 % (2918369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918369)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918369)Termination reason: Instruction limit
% 10.20/7.10 % (2918369)Termination phase: Saturation
% 10.20/7.10 % (2918369)Time elapsed: 0.188 s
% 10.20/7.10 % (2918369)Peak memory usage: 92 MB
% 10.20/7.10 % (2918369)Instructions burned: 286 (million)
% 10.20/7.10 % (2918372)Instruction limit reached!
% 10.20/7.10 % (2918372)------------------------------
% 10.20/7.10 % (2918372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918372)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918372)Termination reason: Instruction limit
% 10.20/7.10 % (2918372)Termination phase: Saturation
% 10.20/7.10 % (2918372)Time elapsed: 0.146 s
% 10.20/7.10 % (2918372)Peak memory usage: 92 MB
% 10.20/7.10 % (2918372)Instructions burned: 249 (million)
% 10.20/7.10 % (2918371)Instruction limit reached!
% 10.20/7.10 % (2918371)------------------------------
% 10.20/7.10 % (2918371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918371)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918371)Termination reason: Instruction limit
% 10.20/7.10 % (2918371)Termination phase: Saturation
% 10.20/7.10 % (2918371)Time elapsed: 0.215 s
% 10.20/7.10 % (2918371)Peak memory usage: 91 MB
% 10.20/7.10 % (2918371)Instructions burned: 325 (million)
% 10.20/7.10 % (2918377)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=87527051:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.20/7.10 % (2918378)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2963095574:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.20/7.10 % (2918379)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2374141883:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.20/7.10 % (2918380)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3408237382:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.20/7.10 % (2918377)Instruction limit reached!
% 10.20/7.10 % (2918377)------------------------------
% 10.20/7.10 % (2918377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918377)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918377)Termination reason: Instruction limit
% 10.20/7.10 % (2918377)Termination phase: Saturation
% 10.20/7.10 % (2918377)Time elapsed: 0.093 s
% 10.20/7.10 % (2918377)Peak memory usage: 89 MB
% 10.20/7.10 % (2918377)Instructions burned: 296 (million)
% 10.20/7.10 % (2918379)Instruction limit reached!
% 10.20/7.10 % (2918379)------------------------------
% 10.20/7.10 % (2918379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918379)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918379)Termination reason: Instruction limit
% 10.20/7.10 % (2918379)Termination phase: Saturation
% 10.20/7.10 % (2918379)Time elapsed: 0.077 s
% 10.20/7.10 % (2918379)Peak memory usage: 90 MB
% 10.20/7.10 % (2918379)Instructions burned: 114 (million)
% 10.20/7.10 % (2918380)Instruction limit reached!
% 10.20/7.10 % (2918380)------------------------------
% 10.20/7.10 % (2918380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918380)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918380)Termination reason: Instruction limit
% 10.20/7.10 % (2918380)Termination phase: Saturation
% 10.20/7.10 % (2918380)Time elapsed: 0.070 s
% 10.20/7.10 % (2918380)Peak memory usage: 89 MB
% 10.20/7.10 % (2918380)Instructions burned: 127 (million)
% 10.20/7.10 % (2918385)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=774274321:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.20/7.10 % (2918385)Instruction limit reached!
% 10.20/7.10 % (2918385)------------------------------
% 10.20/7.10 % (2918385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918385)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918385)Termination reason: Instruction limit
% 10.20/7.10 % (2918385)Termination phase: Saturation
% 10.20/7.10 % (2918385)Time elapsed: 0.038 s
% 10.20/7.10 % (2918385)Peak memory usage: 89 MB
% 10.20/7.10 % (2918385)Instructions burned: 115 (million)
% 10.20/7.10 % (2918386)lrs+10_1_sil=8000:sp=occurrence:random_seed=420759113:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.20/7.10 % (2918387)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1310334745:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.20/7.10 % (2918389)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1027129468:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.20/7.10 % (2918355)First to succeed.
% 10.20/7.10 % (2918355)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2918350"
% 10.20/7.10 % (2918387)Instruction limit reached!
% 10.20/7.10 % (2918387)------------------------------
% 10.20/7.10 % (2918387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918387)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918387)Termination reason: Instruction limit
% 10.20/7.10 % (2918387)Termination phase: Saturation
% 10.20/7.10 % (2918387)Time elapsed: 0.272 s
% 10.20/7.10 % (2918387)Peak memory usage: 92 MB
% 10.20/7.10 % (2918387)Instructions burned: 437 (million)
% 10.20/7.10 % (2918393)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1966475131:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.20/7.10 % (2918393)Instruction limit reached!
% 10.20/7.10 % (2918393)------------------------------
% 10.20/7.10 % (2918393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/7.10 % (2918393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/7.10 % (2918393)CaDiCaL version: 2.1.3
% 10.20/7.10 % (2918393)Termination reason: Instruction limit
% 10.20/7.10 % (2918393)Termination phase: Saturation
% 10.20/7.10 % (2918393)Time elapsed: 0.080 s
% 10.20/7.10 % (2918393)Peak memory usage: 90 MB
% 10.20/7.10 % (2918393)Instructions burned: 135 (million)
% 10.20/7.10 % (2918355)Refutation found. Thanks to Tanya!
% 10.20/7.10 % SZS status Theorem for theBenchmark
% 10.20/7.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/7.30 % (2918355)------------------------------
% 0.16/7.30 % (2918355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/7.30 % (2918355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/7.30 % (2918355)CaDiCaL version: 2.1.3
% 0.16/7.30 % (2918355)Termination reason: Refutation
% 0.16/7.30 % (2918355)Time elapsed: 1.066 s
% 0.16/7.30 % (2918355)Peak memory usage: 134 MB
% 0.16/7.30 % (2918355)Instructions burned: 1542 (million)
% 0.16/7.30 % (2918355)------------------------------
% 0.16/7.30 % (2918355)------------------------------
% 0.16/7.30 % (2918350)Success in time 1.491 s
% 0.16/7.30 % Vampire exiting
%------------------------------------------------------------------------------