%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM572+3 : 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 6.42s 2.03s
% Output : Refutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 25
% Syntax : Number of formulae : 175 ( 32 unt; 16 def)
% Number of atoms : 703 ( 63 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 819 ( 291 ~; 304 |; 162 &)
% ( 18 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 12 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 164 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
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(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& X1 != szmzizndt0(sdtlpdtrp0(xN,X0)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(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)
=> ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/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)
=> ( ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X2))
=> aElementOf0(X4,sdtlpdtrp0(xN,X3)) )
& aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3)) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/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)
=> ( ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X2))
=> aElementOf0(X4,sdtlpdtrp0(xN,X3)) )
& aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3)) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f83]) ).
fof(f94,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
inference(rectify,[],[f81]) ).
fof(f95,plain,
~ ! [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)
=> ( ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X2))
=> aElementOf0(X4,sdtlpdtrp0(xN,X3)) )
& aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X3)) ) ) ) )
=> ( ! [X5] :
( aElementOf0(X5,sdtlpdtrp0(xN,X0))
=> aElementOf0(X5,sdtlpdtrp0(xN,X1)) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ) ),
inference(rectify,[],[f84]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f128,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f129,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f128]) ).
fof(f131,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f137,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f138,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f137]) ).
fof(f141,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f142,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f200,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f201,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f200]) ).
fof(f202,plain,
! [X0] :
( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f203,plain,
? [X0,X1] :
( ? [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X1))
& aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2,X3] :
( ( ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X2)) )
& 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,[],[f95]) ).
fof(f204,plain,
? [X0,X1] :
( ? [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X1))
& aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2,X3] :
( ( ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X2)) )
& 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,[],[f203]) ).
fof(f216,definition,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f217,definition,
! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP8(X0)
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ sP9(X0) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f218,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP9(X0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(definition_folding,[],[f201,f217,f216]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f224,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,[],[f223]) ).
fof(f225,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,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f225]) ).
fof(f239,plain,
! [X0] :
( X0 = sz00
| ( aElementOf0(sK14(X0),szNzAzT0)
& szszuzczcdt0(sK14(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f129]) ).
fof(f294,plain,
! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP8(X0)
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f217]) ).
fof(f295,plain,
! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP8(X0)
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ sP9(X0) ),
inference(rectify,[],[f294]) ).
fof(f296,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f216]) ).
fof(f297,plain,
! [X0] :
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP8(X0) ),
inference(flattening,[],[f296]) ).
fof(f298,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f297]) ).
fof(f299,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP9(X0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ( ~ aElementOf0(sK39(X0),szNzAzT0)
& aElementOf0(sK39(X0),sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X1,sK39(X0))],[f218]) ).
fof(f300,plain,
? [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
& aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X3,X4] :
( ( ! [X5] :
( aElementOf0(X5,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3)) )
& aSubsetOf0(sdtlpdtrp0(xN,X3),sdtlpdtrp0(xN,X4)) )
| ~ iLess0(X3,X0)
| ~ sdtlseqdt0(X4,X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& sdtlseqdt0(X1,X0)
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f204]) ).
fof(f301,plain,
( ~ aElementOf0(sK42,sdtlpdtrp0(xN,sK41))
& aElementOf0(sK42,sdtlpdtrp0(xN,sK40))
& ~ aSubsetOf0(sdtlpdtrp0(xN,sK40),sdtlpdtrp0(xN,sK41))
& ! [X3,X4] :
( ( ! [X5] :
( aElementOf0(X5,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3)) )
& aSubsetOf0(sdtlpdtrp0(xN,X3),sdtlpdtrp0(xN,X4)) )
| ~ iLess0(X3,sK40)
| ~ sdtlseqdt0(X4,X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& sdtlseqdt0(sK41,sK40)
& aElementOf0(sK40,szNzAzT0)
& aElementOf0(sK41,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42]),skolemize(X0,sK40),skolemize(X1,sK41),skolemize(X2,sK42)],[f300]) ).
fof(f309,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f353,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK14(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f354,plain,
! [X0] :
( aElementOf0(sK14(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f356,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f362,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f364,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f365,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f504,plain,
! [X2,X0] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f506,plain,
! [X0] :
( sP8(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f511,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f514,plain,
! [X0] :
( sP9(X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f520,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f521,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f523,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f524,plain,
aElementOf0(sK41,szNzAzT0),
inference(cnf_transformation,[],[f301]) ).
fof(f525,plain,
aElementOf0(sK40,szNzAzT0),
inference(cnf_transformation,[],[f301]) ).
fof(f526,plain,
sdtlseqdt0(sK41,sK40),
inference(cnf_transformation,[],[f301]) ).
fof(f527,plain,
! [X3,X4] :
( aSubsetOf0(sdtlpdtrp0(xN,X3),sdtlpdtrp0(xN,X4))
| ~ iLess0(X3,sK40)
| ~ sdtlseqdt0(X4,X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f530,plain,
aElementOf0(sK42,sdtlpdtrp0(xN,sK40)),
inference(cnf_transformation,[],[f301]) ).
fof(f531,plain,
~ aElementOf0(sK42,sdtlpdtrp0(xN,sK41)),
inference(cnf_transformation,[],[f301]) ).
fof(f575,definition,
sF43 = sdtlpdtrp0(xN,sK41),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f576,plain,
sdtlpdtrp0(xN,sK41) = sF43,
inference(reorient_equations,[],[f575]) ).
fof(f577,plain,
~ aElementOf0(sK42,sF43),
inference(definition_folding,[],[f531,f576]) ).
fof(f578,definition,
sF44 = sdtlpdtrp0(xN,sK40),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f579,plain,
sdtlpdtrp0(xN,sK40) = sF44,
inference(reorient_equations,[],[f578]) ).
fof(f580,plain,
aElementOf0(sK42,sF44),
inference(definition_folding,[],[f530,f579]) ).
fof(f582,definition,
! [X4] : sF45(X4) = sdtlpdtrp0(xN,X4),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f583,plain,
! [X4] : sdtlpdtrp0(xN,X4) = sF45(X4),
inference(reorient_equations,[],[f582]) ).
fof(f585,plain,
! [X3,X4] :
( aSubsetOf0(sF45(X3),sF45(X4))
| ~ iLess0(X3,sK40)
| ~ sdtlseqdt0(X4,X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(definition_folding,[],[f527,f583,f583]) ).
fof(f587,plain,
! [X0] :
( sP9(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f514,f521]) ).
fof(f605,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP9(X0) ),
inference(forward_subsumption_resolution,[],[f587,f520]) ).
fof(f610,plain,
sF43 = sF45(sK41),
inference(superposition,[],[f576,f583]) ).
fof(f611,plain,
sF44 = sF45(sK40),
inference(superposition,[],[f579,f583]) ).
fof(f612,plain,
( ~ sdtlseqdt0(sK40,sK41)
| sK40 = sK41
| ~ aElementOf0(sK40,szNzAzT0)
| ~ aElementOf0(sK41,szNzAzT0) ),
inference(resolution,[],[f362,f526]) ).
fof(f613,plain,
( ~ sdtlseqdt0(sK40,sK41)
| sK40 = sK41
| ~ aElementOf0(sK41,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f612,f525]) ).
fof(f614,plain,
( ~ sdtlseqdt0(sK40,sK41)
| sK40 = sK41 ),
inference(forward_subsumption_resolution,[],[f613,f524]) ).
fof(f616,definition,
( spl46_4
<=> sK40 = sK41 ),
introduced(definition,[new_symbols(definition,[spl46_4])],[avatar_definition]) ).
fof(f618,plain,
( sK40 = sK41
| ~ spl46_4 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,definition,
( spl46_5
<=> sdtlseqdt0(sK40,sK41) ),
introduced(definition,[new_symbols(definition,[spl46_5])],[avatar_definition]) ).
fof(f622,plain,
( ~ sdtlseqdt0(sK40,sK41)
| spl46_5 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f623,plain,
( spl46_4
| ~ spl46_5 ),
inference(avatar_split_clause,[],[f614,f620,f616]) ).
fof(f626,plain,
! [X0] :
( aSubsetOf0(sF45(X0),sF43)
| ~ iLess0(X0,sK40)
| ~ sdtlseqdt0(sK41,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK41,szNzAzT0) ),
inference(superposition,[],[f585,f610]) ).
fof(f629,plain,
! [X0] :
( aSubsetOf0(sF45(X0),sF43)
| ~ iLess0(X0,sK40)
| ~ sdtlseqdt0(sK41,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f626,f524]) ).
fof(f652,plain,
( aSet0(sF43)
| ~ aElementOf0(sK41,szNzAzT0) ),
inference(superposition,[],[f523,f576]) ).
fof(f656,plain,
aSet0(sF43),
inference(forward_subsumption_resolution,[],[f652,f524]) ).
fof(f717,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP9(X1)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP8(X1) ),
inference(resolution,[],[f504,f511]) ).
fof(f726,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP9(X1)
| aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(forward_subsumption_resolution,[],[f717,f506]) ).
fof(f737,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF45(szszuzczcdt0(X1)))
| ~ sP9(X1)
| aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(forward_demodulation,[],[f726,f583]) ).
fof(f738,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF45(szszuzczcdt0(X1)))
| aElementOf0(X0,sF45(X1))
| ~ sP9(X1) ),
inference(forward_demodulation,[],[f737,f583]) ).
fof(f790,plain,
sdtlseqdt0(sz00,sK41),
inference(resolution,[],[f356,f524]) ).
fof(f797,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF45(X1))
| aElementOf0(X0,sF43)
| ~ aSet0(sF43)
| ~ iLess0(X1,sK40)
| ~ sdtlseqdt0(sK41,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f309,f629]) ).
fof(f801,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF45(X1))
| aElementOf0(X0,sF43)
| ~ iLess0(X1,sK40)
| ~ sdtlseqdt0(sK41,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f797,f656]) ).
fof(f819,plain,
( sK40 = szszuzczcdt0(sK14(sK40))
| sz00 = sK40 ),
inference(resolution,[],[f353,f525]) ).
fof(f841,definition,
( spl46_29
<=> sz00 = sK40 ),
introduced(definition,[new_symbols(definition,[spl46_29])],[avatar_definition]) ).
fof(f842,plain,
( sz00 != sK40
| spl46_29 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f843,plain,
( sz00 = sK40
| ~ spl46_29 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f845,definition,
( spl46_30
<=> sK40 = szszuzczcdt0(sK14(sK40)) ),
introduced(definition,[new_symbols(definition,[spl46_30])],[avatar_definition]) ).
fof(f847,plain,
( sK40 = szszuzczcdt0(sK14(sK40))
| ~ spl46_30 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f848,plain,
( spl46_29
| spl46_30 ),
inference(avatar_split_clause,[],[f819,f845,f841]) ).
fof(f862,plain,
( ~ sdtlseqdt0(sz00,sK41)
| spl46_5
| ~ spl46_29 ),
inference(superposition,[],[f622,f843]) ).
fof(f869,plain,
( $false
| spl46_5
| ~ spl46_29 ),
inference(forward_subsumption_resolution,[],[f862,f790]) ).
fof(f870,plain,
( spl46_5
| ~ spl46_29 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f918,plain,
( sF43 = sF45(sK40)
| ~ spl46_4 ),
inference(superposition,[],[f610,f618]) ).
fof(f922,plain,
( sF43 = sF44
| ~ spl46_4 ),
inference(forward_demodulation,[],[f918,f611]) ).
fof(f924,plain,
( aElementOf0(sK42,sF43)
| ~ spl46_4 ),
inference(superposition,[],[f580,f922]) ).
fof(f931,plain,
( $false
| ~ spl46_4 ),
inference(forward_subsumption_resolution,[],[f924,f577]) ).
fof(f932,plain,
~ spl46_4,
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f933,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF45(sK40))
| aElementOf0(X0,sF45(sK14(sK40)))
| ~ sP9(sK14(sK40)) )
| ~ spl46_30 ),
inference(superposition,[],[f738,f847]) ).
fof(f934,plain,
( ! [X0] :
( sdtlseqdt0(sK40,X0)
| sdtlseqdt0(X0,sK14(sK40))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK14(sK40),szNzAzT0) )
| ~ spl46_30 ),
inference(superposition,[],[f364,f847]) ).
fof(f935,plain,
( iLess0(sK14(sK40),sK40)
| ~ aElementOf0(sK14(sK40),szNzAzT0)
| ~ spl46_30 ),
inference(superposition,[],[f365,f847]) ).
fof(f937,definition,
( spl46_33
<=> aElementOf0(sK14(sK40),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl46_33])],[avatar_definition]) ).
fof(f938,plain,
( aElementOf0(sK14(sK40),szNzAzT0)
| ~ spl46_33 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f939,plain,
( ~ aElementOf0(sK14(sK40),szNzAzT0)
| spl46_33 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f941,definition,
( spl46_34
<=> iLess0(sK14(sK40),sK40) ),
introduced(definition,[new_symbols(definition,[spl46_34])],[avatar_definition]) ).
fof(f943,plain,
( iLess0(sK14(sK40),sK40)
| ~ spl46_34 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f944,plain,
( ~ spl46_33
| spl46_34
| ~ spl46_30 ),
inference(avatar_split_clause,[],[f935,f845,f941,f937]) ).
fof(f946,definition,
( spl46_35
<=> ! [X0] :
( sdtlseqdt0(sK40,X0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK14(sK40)) ) ),
introduced(definition,[new_symbols(definition,[spl46_35])],[avatar_definition]) ).
fof(f947,plain,
( ! [X0] :
( sdtlseqdt0(X0,sK14(sK40))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK40,X0) )
| ~ spl46_35 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f948,plain,
( ~ spl46_33
| spl46_35
| ~ spl46_30 ),
inference(avatar_split_clause,[],[f934,f845,f946,f937]) ).
fof(f949,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF44)
| aElementOf0(X0,sF45(sK14(sK40)))
| ~ sP9(sK14(sK40)) )
| ~ spl46_30 ),
inference(forward_demodulation,[],[f933,f611]) ).
fof(f951,definition,
( spl46_36
<=> sP9(sK14(sK40)) ),
introduced(definition,[new_symbols(definition,[spl46_36])],[avatar_definition]) ).
fof(f953,plain,
( ~ sP9(sK14(sK40))
| spl46_36 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f955,definition,
( spl46_37
<=> ! [X0] :
( ~ aElementOf0(X0,sF44)
| aElementOf0(X0,sF45(sK14(sK40))) ) ),
introduced(definition,[new_symbols(definition,[spl46_37])],[avatar_definition]) ).
fof(f956,plain,
( ! [X0] :
( aElementOf0(X0,sF45(sK14(sK40)))
| ~ aElementOf0(X0,sF44) )
| ~ spl46_37 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f957,plain,
( ~ spl46_36
| spl46_37
| ~ spl46_30 ),
inference(avatar_split_clause,[],[f949,f845,f955,f951]) ).
fof(f985,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sP9(sK14(X0)) ),
inference(resolution,[],[f354,f605]) ).
fof(f1100,plain,
( sz00 = sK40
| sP9(sK14(sK40)) ),
inference(resolution,[],[f985,f525]) ).
fof(f1105,plain,
( sP9(sK14(sK40))
| spl46_29 ),
inference(forward_subsumption_resolution,[],[f1100,f842]) ).
fof(f1110,plain,
( $false
| spl46_29
| spl46_36 ),
inference(forward_subsumption_resolution,[],[f1105,f953]) ).
fof(f1111,plain,
( spl46_29
| spl46_36 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1113,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF44)
| aElementOf0(X0,sF43)
| ~ iLess0(sK14(sK40),sK40)
| ~ sdtlseqdt0(sK41,sK14(sK40))
| ~ aElementOf0(sK14(sK40),szNzAzT0) )
| ~ spl46_37 ),
inference(resolution,[],[f956,f801]) ).
fof(f1134,plain,
( sz00 = sK40
| ~ aElementOf0(sK40,szNzAzT0)
| spl46_33 ),
inference(resolution,[],[f939,f354]) ).
fof(f1135,plain,
( ~ aElementOf0(sK40,szNzAzT0)
| spl46_29
| spl46_33 ),
inference(forward_subsumption_resolution,[],[f1134,f842]) ).
fof(f1136,plain,
( $false
| spl46_29
| spl46_33 ),
inference(forward_subsumption_resolution,[],[f1135,f525]) ).
fof(f1137,plain,
( spl46_29
| spl46_33 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1141,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF44)
| aElementOf0(X0,sF43)
| ~ sdtlseqdt0(sK41,sK14(sK40))
| ~ aElementOf0(sK14(sK40),szNzAzT0) )
| ~ spl46_34
| ~ spl46_37 ),
inference(forward_subsumption_resolution,[],[f1113,f943]) ).
fof(f1144,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF44)
| aElementOf0(X0,sF43)
| ~ sdtlseqdt0(sK41,sK14(sK40)) )
| ~ spl46_33
| ~ spl46_34
| ~ spl46_37 ),
inference(forward_subsumption_resolution,[],[f1141,f938]) ).
fof(f1146,definition,
( spl46_47
<=> sdtlseqdt0(sK41,sK14(sK40)) ),
introduced(definition,[new_symbols(definition,[spl46_47])],[avatar_definition]) ).
fof(f1148,plain,
( ~ sdtlseqdt0(sK41,sK14(sK40))
| spl46_47 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1150,definition,
( spl46_48
<=> ! [X0] :
( ~ aElementOf0(X0,sF44)
| aElementOf0(X0,sF43) ) ),
introduced(definition,[new_symbols(definition,[spl46_48])],[avatar_definition]) ).
fof(f1151,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF44)
| aElementOf0(X0,sF43) )
| ~ spl46_48 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1152,plain,
( ~ spl46_47
| spl46_48
| ~ spl46_33
| ~ spl46_34
| ~ spl46_37 ),
inference(avatar_split_clause,[],[f1144,f955,f941,f937,f1150,f1146]) ).
fof(f1189,plain,
( ~ aElementOf0(sK41,szNzAzT0)
| sdtlseqdt0(sK40,sK41)
| ~ spl46_35
| spl46_47 ),
inference(resolution,[],[f1148,f947]) ).
fof(f1190,plain,
( sdtlseqdt0(sK40,sK41)
| ~ spl46_35
| spl46_47 ),
inference(forward_subsumption_resolution,[],[f1189,f524]) ).
fof(f1191,plain,
( $false
| spl46_5
| ~ spl46_35
| spl46_47 ),
inference(forward_subsumption_resolution,[],[f1190,f622]) ).
fof(f1192,plain,
( spl46_5
| ~ spl46_35
| spl46_47 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1196,plain,
( aElementOf0(sK42,sF43)
| ~ spl46_48 ),
inference(resolution,[],[f1151,f580]) ).
fof(f1197,plain,
( $false
| ~ spl46_48 ),
inference(forward_subsumption_resolution,[],[f1196,f577]) ).
fof(f1198,plain,
~ spl46_48,
inference(avatar_contradiction_clause,[],[f1197]) ).
cnf(s4,plain,
( spl46_4
| ~ spl46_5 ),
inference(sat_conversion,[],[f623]) ).
cnf(s17,plain,
( spl46_29
| spl46_30 ),
inference(sat_conversion,[],[f848]) ).
cnf(s20,plain,
( spl46_5
| ~ spl46_29 ),
inference(sat_conversion,[],[f870]) ).
cnf(s26,plain,
~ spl46_4,
inference(sat_conversion,[],[f932]) ).
cnf(s27,plain,
( ~ spl46_30
| ~ spl46_33
| spl46_34 ),
inference(sat_conversion,[],[f944]) ).
cnf(s28,plain,
( ~ spl46_30
| ~ spl46_33
| spl46_35 ),
inference(sat_conversion,[],[f948]) ).
cnf(s29,plain,
( ~ spl46_30
| ~ spl46_36
| spl46_37 ),
inference(sat_conversion,[],[f957]) ).
cnf(s36,plain,
( spl46_29
| spl46_36 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s37,plain,
( spl46_29
| spl46_33 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s38,plain,
( ~ spl46_33
| ~ spl46_34
| ~ spl46_37
| ~ spl46_47
| spl46_48 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s41,plain,
( spl46_5
| ~ spl46_35
| spl46_47 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s43,plain,
~ spl46_48,
inference(sat_conversion,[],[f1198]) ).
cnf(s44,plain,
( ~ spl46_33
| ~ spl46_34
| ~ spl46_37
| ~ spl46_47 ),
inference(rat,[],[s38,s43]) ).
cnf(s45,plain,
~ spl46_5,
inference(rat,[],[s4,s26]) ).
cnf(s46,plain,
~ spl46_29,
inference(rat,[],[s20,s45]) ).
cnf(s47,plain,
spl46_33,
inference(rat,[],[s37,s46]) ).
cnf(s48,plain,
spl46_36,
inference(rat,[],[s36,s46]) ).
cnf(s49,plain,
spl46_30,
inference(rat,[],[s17,s46]) ).
cnf(s50,plain,
spl46_37,
inference(rat,[],[s29,s48,s49]) ).
cnf(s51,plain,
spl46_35,
inference(rat,[],[s28,s47,s49]) ).
cnf(s52,plain,
spl46_34,
inference(rat,[],[s27,s47,s49]) ).
cnf(s53,plain,
spl46_47,
inference(rat,[],[s41,s45,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s44,s50,s47,s53,s52]) ).
fof(f1200,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM572+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n017.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 20:28:52 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.42/2.03 % (2919034)Detected formulas, will run a generic FOF schedule.
% 6.42/2.03 % (2919043)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3904005841:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.42/2.03 % (2919043)Instruction limit reached!
% 6.42/2.03 % (2919043)------------------------------
% 6.42/2.03 % (2919043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919043)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919043)Termination reason: Instruction limit
% 6.42/2.03 % (2919043)Termination phase: Saturation
% 6.42/2.03 % (2919043)Time elapsed: 0.037 s
% 6.42/2.03 % (2919043)Peak memory usage: 88 MB
% 6.42/2.03 % (2919043)Instructions burned: 123 (million)
% 6.42/2.03 % (2919042)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3464509279:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.42/2.03 % (2919041)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=3487134265:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.42/2.03 % (2919040)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=3204837048:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.42/2.03 % (2919039)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=2201504190:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.42/2.03 % (2919044)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=407778201:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.42/2.03 % (2919045)dis-21_1_sil=8000:lcm=predicate:random_seed=2820069411:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.42/2.03 % (2919042)Instruction limit reached!
% 6.42/2.03 % (2919042)------------------------------
% 6.42/2.03 % (2919042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919042)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919042)Termination reason: Instruction limit
% 6.42/2.03 % (2919042)Termination phase: Saturation
% 6.42/2.03 % (2919042)Time elapsed: 0.072 s
% 6.42/2.03 % (2919042)Peak memory usage: 89 MB
% 6.42/2.03 % (2919042)Instructions burned: 110 (million)
% 6.42/2.03 % (2919045)Instruction limit reached!
% 6.42/2.03 % (2919045)------------------------------
% 6.42/2.03 % (2919045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919045)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919045)Termination reason: Instruction limit
% 6.42/2.03 % (2919045)Termination phase: Saturation
% 6.42/2.03 % (2919045)Time elapsed: 0.080 s
% 6.42/2.03 % (2919045)Peak memory usage: 91 MB
% 6.42/2.03 % (2919045)Instructions burned: 131 (million)
% 6.42/2.03 % (2919044)Instruction limit reached!
% 6.42/2.03 % (2919044)------------------------------
% 6.42/2.03 % (2919044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919044)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919044)Termination reason: Instruction limit
% 6.42/2.03 % (2919044)Termination phase: Saturation
% 6.42/2.03 % (2919044)Time elapsed: 0.104 s
% 6.42/2.03 % (2919044)Peak memory usage: 90 MB
% 6.42/2.03 % (2919044)Instructions burned: 140 (million)
% 6.42/2.03 % (2919051)lrs+10_1_sil=8000:sp=occurrence:random_seed=3836319282:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.42/2.03 % (2919054)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4007390366:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.42/2.03 % (2919051)Instruction limit reached!
% 6.42/2.03 % (2919051)------------------------------
% 6.42/2.03 % (2919051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919051)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919051)Termination reason: Instruction limit
% 6.42/2.03 % (2919051)Termination phase: Saturation
% 6.42/2.03 % (2919051)Time elapsed: 0.102 s
% 6.42/2.03 % (2919051)Peak memory usage: 92 MB
% 6.42/2.03 % (2919051)Instructions burned: 288 (million)
% 6.42/2.03 % (2919055)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2623052116:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.42/2.03 % (2919057)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=36838875:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.42/2.03 % (2919054)Instruction limit reached!
% 6.42/2.03 % (2919054)------------------------------
% 6.42/2.03 % (2919054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919054)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919054)Termination reason: Instruction limit
% 6.42/2.03 % (2919054)Termination phase: Saturation
% 6.42/2.03 % (2919054)Time elapsed: 0.094 s
% 6.42/2.03 % (2919054)Peak memory usage: 90 MB
% 6.42/2.03 % (2919054)Instructions burned: 158 (million)
% 6.42/2.03 % (2919059)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=511644261:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.42/2.03 % (2919057)Instruction limit reached!
% 6.42/2.03 % (2919057)------------------------------
% 6.42/2.03 % (2919057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919057)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919057)Termination reason: Instruction limit
% 6.42/2.03 % (2919057)Termination phase: Saturation
% 6.42/2.03 % (2919057)Time elapsed: 0.141 s
% 6.42/2.03 % (2919057)Peak memory usage: 93 MB
% 6.42/2.03 % (2919057)Instructions burned: 248 (million)
% 6.42/2.03 % (2919059)Instruction limit reached!
% 6.42/2.03 % (2919059)------------------------------
% 6.42/2.03 % (2919059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919059)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919059)Termination reason: Instruction limit
% 6.42/2.03 % (2919059)Termination phase: Saturation
% 6.42/2.03 % (2919059)Time elapsed: 0.100 s
% 6.42/2.03 % (2919059)Peak memory usage: 90 MB
% 6.42/2.03 % (2919059)Instructions burned: 295 (million)
% 6.42/2.03 % (2919055)Instruction limit reached!
% 6.42/2.03 % (2919055)------------------------------
% 6.42/2.03 % (2919055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919055)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919055)Termination reason: Instruction limit
% 6.42/2.03 % (2919055)Termination phase: Saturation
% 6.42/2.03 % (2919055)Time elapsed: 0.230 s
% 6.42/2.03 % (2919055)Peak memory usage: 92 MB
% 6.42/2.03 % (2919055)Instructions burned: 325 (million)
% 6.42/2.03 % (2919062)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2860073465:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.42/2.03 % (2919065)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2967633177:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.42/2.03 % (2919064)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3178308699:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.42/2.03 % (2919065)Instruction limit reached!
% 6.42/2.03 % (2919065)------------------------------
% 6.42/2.03 % (2919065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919065)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919065)Termination reason: Instruction limit
% 6.42/2.03 % (2919065)Termination phase: Saturation
% 6.42/2.03 % (2919065)Time elapsed: 0.038 s
% 6.42/2.03 % (2919065)Peak memory usage: 89 MB
% 6.42/2.03 % (2919065)Instructions burned: 129 (million)
% 6.42/2.03 % (2919067)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=908103926:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.42/2.03 % (2919064)Instruction limit reached!
% 6.42/2.03 % (2919064)------------------------------
% 6.42/2.03 % (2919064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919064)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919064)Termination reason: Instruction limit
% 6.42/2.03 % (2919064)Termination phase: Saturation
% 6.42/2.03 % (2919064)Time elapsed: 0.076 s
% 6.42/2.03 % (2919064)Peak memory usage: 91 MB
% 6.42/2.03 % (2919064)Instructions burned: 114 (million)
% 6.42/2.03 % (2919067)Instruction limit reached!
% 6.42/2.03 % (2919067)------------------------------
% 6.42/2.03 % (2919067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.03 % (2919067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.03 % (2919067)CaDiCaL version: 2.1.3
% 6.42/2.03 % (2919067)Termination reason: Instruction limit
% 6.42/2.03 % (2919067)Termination phase: Property scanning
% 6.42/2.03 % (2919067)Time elapsed: 0.043 s
% 6.42/2.03 % (2919067)Peak memory usage: 87 MB
% 6.42/2.03 % (2919067)Instructions burned: 116 (million)
% 6.42/2.03 % (2919070)lrs+10_1_sil=8000:sp=occurrence:random_seed=419333131:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.42/2.03 % (2919039)First to succeed.
% 6.42/2.03 % (2919039)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2919034"
% 6.42/2.03 % (2919072)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2682860693:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.42/2.03 % (2919040)Also succeeded, but the first one will report.
% 6.42/2.03 % (2919073)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4085156380:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.42/2.03 % (2919039)Refutation found. Thanks to Tanya!
% 6.42/2.03 % SZS status Theorem for theBenchmark
% 6.42/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.70/2.23 % (2919039)------------------------------
% 8.70/2.23 % (2919039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.23 % (2919039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.23 % (2919039)CaDiCaL version: 2.1.3
% 8.70/2.23 % (2919039)Termination reason: Refutation
% 8.70/2.23 % (2919039)Time elapsed: 0.714 s
% 8.70/2.23 % (2919039)Peak memory usage: 131 MB
% 8.70/2.23 % (2919039)Instructions burned: 1069 (million)
% 8.70/2.23 % (2919039)------------------------------
% 8.70/2.23 % (2919039)------------------------------
% 8.70/2.23 % (2919034)Success in time 1.146 s
% 8.70/2.23 % Vampire exiting
%------------------------------------------------------------------------------