%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM577+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:49 PM UTC 2026
% Result : Theorem 6.56s 1.97s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 134 ( 25 unt; 17 def)
% Number of atoms : 590 ( 53 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 688 ( 232 ~; 200 |; 200 &)
% ( 19 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 113 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
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,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [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__3754) ).
fof(f86,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3904) ).
fof(f87,conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X0)
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& X0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f88,negated_conjecture,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X0)
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& X0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f98,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(f99,plain,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xm))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X4) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ),
inference(rectify,[],[f88]) ).
fof(f129,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f204,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,[],[f98]) ).
fof(f205,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,[],[f204]) ).
fof(f206,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(f207,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f208,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f207]) ).
fof(f211,plain,
( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xm)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,xn)) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(ennf_transformation,[],[f99]) ).
fof(f212,plain,
( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xm)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,xn)) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(flattening,[],[f211]) ).
fof(f224,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(f225,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(f226,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,[],[f205,f225,f224]) ).
fof(f227,definition,
( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f228,definition,
( ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& sP10
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f229,plain,
( ( sP11
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xm)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,xn)) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(definition_folding,[],[f212,f228,f227]) ).
fof(f305,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,[],[f225]) ).
fof(f306,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,[],[f305]) ).
fof(f307,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,[],[f224]) ).
fof(f308,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,[],[f307]) ).
fof(f309,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,[],[f308]) ).
fof(f310,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP9(X0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ( ~ aElementOf0(sK41(X0),szNzAzT0)
& aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X1,sK41(X0))],[f226]) ).
fof(f311,plain,
( ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& sP10
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f228]) ).
fof(f312,plain,
( ( ? [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& sP10
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ) )
| ~ sP11 ),
inference(rectify,[],[f311]) ).
fof(f313,plain,
( ( ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(sK42,sdtlpdtrp0(xN,xm))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& sP10
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ) )
| ~ sP11 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X0,sK42)],[f312]) ).
fof(f317,plain,
( ( sP11
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(rectify,[],[f229]) ).
fof(f367,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f520,plain,
! [X2,X0] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f522,plain,
! [X0] :
( sP8(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f526,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f530,plain,
! [X0] :
( sP9(X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f536,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f537,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f541,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f545,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f546,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f552,plain,
( aElementOf0(sK42,sdtlpdtrp0(xN,xm))
| ~ sP11 ),
inference(cnf_transformation,[],[f313]) ).
fof(f553,plain,
( ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ sP11 ),
inference(cnf_transformation,[],[f313]) ).
fof(f558,plain,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnf_transformation,[],[f317]) ).
fof(f559,plain,
( sP11
| szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f317]) ).
fof(f563,plain,
( sP11
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f317]) ).
fof(f606,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ),
inference(equality_resolution,[],[f526]) ).
fof(f608,definition,
sF43 = sdtlpdtrp0(xN,xm),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f609,plain,
sdtlpdtrp0(xN,xm) = sF43,
inference(reorient_equations,[],[f608]) ).
fof(f610,definition,
sF44 = szmzizndt0(sF43),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f611,plain,
szmzizndt0(sF43) = sF44,
inference(reorient_equations,[],[f610]) ).
fof(f612,plain,
( sP11
| aElementOf0(sF44,sF43) ),
inference(definition_folding,[],[f563,f609,f611,f609]) ).
fof(f614,definition,
sF45 = sdtlpdtrp0(xN,xn),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f615,plain,
sdtlpdtrp0(xN,xn) = sF45,
inference(reorient_equations,[],[f614]) ).
fof(f618,definition,
sF46 = szmzizndt0(sF45),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
fof(f619,plain,
szmzizndt0(sF45) = sF46,
inference(reorient_equations,[],[f618]) ).
fof(f620,plain,
( sP11
| sF44 = sF46 ),
inference(definition_folding,[],[f559,f611,f609,f619,f615]) ).
fof(f621,definition,
sF47 = szszuzczcdt0(xn),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
fof(f622,plain,
szszuzczcdt0(xn) = sF47,
inference(reorient_equations,[],[f621]) ).
fof(f623,plain,
sdtlseqdt0(sF47,xm),
inference(definition_folding,[],[f558,f622]) ).
fof(f626,definition,
( spl48_1
<=> sF44 = sF46 ),
introduced(definition,[new_symbols(definition,[spl48_1])],[avatar_definition]) ).
fof(f628,plain,
( sF44 = sF46
| ~ spl48_1 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f630,definition,
( spl48_2
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl48_2])],[avatar_definition]) ).
fof(f633,plain,
( spl48_1
| spl48_2 ),
inference(avatar_split_clause,[],[f620,f630,f626]) ).
fof(f648,definition,
( spl48_6
<=> aElementOf0(sF44,sF43) ),
introduced(definition,[new_symbols(definition,[spl48_6])],[avatar_definition]) ).
fof(f650,plain,
( aElementOf0(sF44,sF43)
| ~ spl48_6 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( spl48_6
| spl48_2 ),
inference(avatar_split_clause,[],[f612,f630,f648]) ).
fof(f694,definition,
( spl48_16
<=> aElementOf0(sK42,sdtlpdtrp0(xN,xm)) ),
introduced(definition,[new_symbols(definition,[spl48_16])],[avatar_definition]) ).
fof(f696,plain,
( aElementOf0(sK42,sdtlpdtrp0(xN,xm))
| ~ spl48_16 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f697,plain,
( ~ spl48_2
| spl48_16 ),
inference(avatar_split_clause,[],[f552,f694,f630]) ).
fof(f699,definition,
( spl48_17
<=> aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
introduced(definition,[new_symbols(definition,[spl48_17])],[avatar_definition]) ).
fof(f701,plain,
( ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| spl48_17 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f702,plain,
( ~ spl48_2
| ~ spl48_17 ),
inference(avatar_split_clause,[],[f553,f699,f630]) ).
fof(f716,plain,
! [X0] :
( sP9(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f530,f537]) ).
fof(f734,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP9(X0) ),
inference(forward_subsumption_resolution,[],[f716,f536]) ).
fof(f745,plain,
( aElementOf0(sK42,sF43)
| ~ spl48_16 ),
inference(forward_demodulation,[],[f696,f609]) ).
fof(f746,plain,
( ~ aElementOf0(sK42,sdtmndt0(sF45,szmzizndt0(sF45)))
| spl48_17 ),
inference(forward_demodulation,[],[f701,f615]) ).
fof(f755,plain,
( ~ aElementOf0(sK42,sdtmndt0(sF45,sF46))
| spl48_17 ),
inference(forward_demodulation,[],[f746,f619]) ).
fof(f768,definition,
( spl48_24
<=> aElementOf0(sF47,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl48_24])],[avatar_definition]) ).
fof(f769,plain,
( aElementOf0(sF47,szNzAzT0)
| ~ spl48_24 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f770,plain,
( ~ aElementOf0(sF47,szNzAzT0)
| spl48_24 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f781,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sF45,szmzizndt0(sF45)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ sP9(xn) ),
inference(superposition,[],[f520,f615]) ).
fof(f782,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sF45,sF46))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ sP9(xn) ),
inference(forward_demodulation,[],[f781,f619]) ).
fof(f784,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sF47))
| aElementOf0(X0,sdtmndt0(sF45,sF46))
| ~ sP9(xn) ),
inference(forward_demodulation,[],[f782,f622]) ).
fof(f794,definition,
( spl48_29
<=> sP9(xn) ),
introduced(definition,[new_symbols(definition,[spl48_29])],[avatar_definition]) ).
fof(f795,plain,
( sP9(xn)
| ~ spl48_29 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f796,plain,
( ~ sP9(xn)
| spl48_29 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f798,definition,
( spl48_30
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sF47))
| aElementOf0(X0,sdtmndt0(sF45,sF46)) ) ),
introduced(definition,[new_symbols(definition,[spl48_30])],[avatar_definition]) ).
fof(f799,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sF47))
| aElementOf0(X0,sdtmndt0(sF45,sF46)) )
| ~ spl48_30 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( ~ spl48_29
| spl48_30 ),
inference(avatar_split_clause,[],[f784,f798,f794]) ).
fof(f801,plain,
! [X0] :
( ~ sP8(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(resolution,[],[f606,f520]) ).
fof(f806,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(forward_subsumption_resolution,[],[f801,f522]) ).
fof(f818,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,sF47))
| ~ sP9(xn) ),
inference(superposition,[],[f806,f622]) ).
fof(f819,plain,
sP9(xn),
inference(resolution,[],[f734,f546]) ).
fof(f823,plain,
( $false
| spl48_29 ),
inference(forward_subsumption_resolution,[],[f819,f796]) ).
fof(f824,plain,
spl48_29,
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f825,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,sF47))
| ~ spl48_29 ),
inference(forward_subsumption_resolution,[],[f818,f795]) ).
fof(f828,plain,
( ~ aElementOf0(szmzizndt0(sF45),sdtlpdtrp0(xN,sF47))
| ~ spl48_29 ),
inference(forward_demodulation,[],[f825,f615]) ).
fof(f831,plain,
( ~ aElementOf0(sF46,sdtlpdtrp0(xN,sF47))
| ~ spl48_29 ),
inference(forward_demodulation,[],[f828,f619]) ).
fof(f834,plain,
( aElementOf0(sF47,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f367,f622]) ).
fof(f835,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl48_24 ),
inference(forward_subsumption_resolution,[],[f834,f770]) ).
fof(f836,plain,
( $false
| spl48_24 ),
inference(forward_subsumption_resolution,[],[f835,f546]) ).
fof(f837,plain,
spl48_24,
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f839,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF43)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(superposition,[],[f541,f609]) ).
fof(f842,plain,
! [X0,X1] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,sF43)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f839,f545]) ).
fof(f846,plain,
( ~ aElementOf0(sF46,sF43)
| ~ sdtlseqdt0(sF47,xm)
| ~ aElementOf0(sF47,szNzAzT0)
| ~ spl48_29 ),
inference(resolution,[],[f842,f831]) ).
fof(f847,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF43)
| ~ sdtlseqdt0(sF47,xm)
| ~ aElementOf0(sF47,szNzAzT0)
| aElementOf0(X0,sdtmndt0(sF45,sF46)) )
| ~ spl48_30 ),
inference(resolution,[],[f842,f799]) ).
fof(f853,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF43)
| ~ aElementOf0(sF47,szNzAzT0)
| aElementOf0(X0,sdtmndt0(sF45,sF46)) )
| ~ spl48_30 ),
inference(forward_subsumption_resolution,[],[f847,f623]) ).
fof(f854,plain,
( ~ aElementOf0(sF46,sF43)
| ~ aElementOf0(sF47,szNzAzT0)
| ~ spl48_29 ),
inference(forward_subsumption_resolution,[],[f846,f623]) ).
fof(f876,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sF45,sF46))
| ~ aElementOf0(X0,sF43) )
| ~ spl48_24
| ~ spl48_30 ),
inference(forward_subsumption_resolution,[],[f853,f769]) ).
fof(f877,plain,
( ~ aElementOf0(sF46,sF43)
| ~ spl48_24
| ~ spl48_29 ),
inference(forward_subsumption_resolution,[],[f854,f769]) ).
fof(f909,plain,
( ~ aElementOf0(sK42,sF43)
| spl48_17
| ~ spl48_24
| ~ spl48_30 ),
inference(resolution,[],[f876,f755]) ).
fof(f910,plain,
( $false
| ~ spl48_16
| spl48_17
| ~ spl48_24
| ~ spl48_30 ),
inference(forward_subsumption_resolution,[],[f909,f745]) ).
fof(f911,plain,
( ~ spl48_16
| spl48_17
| ~ spl48_24
| ~ spl48_30 ),
inference(avatar_contradiction_clause,[],[f910]) ).
fof(f949,plain,
( ~ aElementOf0(sF44,sF43)
| ~ spl48_1
| ~ spl48_24
| ~ spl48_29 ),
inference(superposition,[],[f877,f628]) ).
fof(f950,plain,
( $false
| ~ spl48_1
| ~ spl48_6
| ~ spl48_24
| ~ spl48_29 ),
inference(forward_subsumption_resolution,[],[f949,f650]) ).
fof(f951,plain,
( ~ spl48_1
| ~ spl48_6
| ~ spl48_24
| ~ spl48_29 ),
inference(avatar_contradiction_clause,[],[f950]) ).
cnf(s1,plain,
( spl48_1
| spl48_2 ),
inference(sat_conversion,[],[f633]) ).
cnf(s5,plain,
( spl48_2
| spl48_6 ),
inference(sat_conversion,[],[f651]) ).
cnf(s15,plain,
( ~ spl48_2
| spl48_16 ),
inference(sat_conversion,[],[f697]) ).
cnf(s16,plain,
( ~ spl48_2
| ~ spl48_17 ),
inference(sat_conversion,[],[f702]) ).
cnf(s23,plain,
( ~ spl48_29
| spl48_30 ),
inference(sat_conversion,[],[f800]) ).
cnf(s26,plain,
spl48_29,
inference(sat_conversion,[],[f824]) ).
cnf(s27,plain,
spl48_24,
inference(sat_conversion,[],[f837]) ).
cnf(s34,plain,
( ~ spl48_16
| spl48_17
| ~ spl48_24
| ~ spl48_30 ),
inference(sat_conversion,[],[f911]) ).
cnf(s36,plain,
( ~ spl48_1
| ~ spl48_6
| ~ spl48_24
| ~ spl48_29 ),
inference(sat_conversion,[],[f951]) ).
cnf(s37,plain,
spl48_30,
inference(rat,[],[s23,s26]) ).
cnf(s42,plain,
~ spl48_2,
inference(rat,[],[s34,s15,s16,s27,s37]) ).
cnf(s43,plain,
spl48_6,
inference(rat,[],[s5,s42]) ).
cnf(s47,plain,
spl48_1,
inference(rat,[],[s1,s42]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s36,s26,s27,s43,s47]) ).
fof(f952,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM577+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n019.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 20:35:03 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.56/1.97 % (3385777)Detected formulas, will run a generic FOF schedule.
% 6.56/1.97 % (3385787)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1522643015:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.56/1.97 % (3385786)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4229454331:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.56/1.97 % (3385782)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=883831824:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.56/1.97 % (3385783)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=2266303002:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.56/1.97 % (3385784)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=833049757:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.56/1.97 % (3385785)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=849190869:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.56/1.97 % (3385788)dis-21_1_sil=8000:lcm=predicate:random_seed=601359592: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)
% 6.56/1.97 % (3385787)Instruction limit reached!
% 6.56/1.97 % (3385787)------------------------------
% 6.56/1.97 % (3385787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385787)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385787)Termination reason: Instruction limit
% 6.56/1.97 % (3385787)Termination phase: Saturation
% 6.56/1.97 % (3385787)Time elapsed: 0.056 s
% 6.56/1.97 % (3385787)Peak memory usage: 90 MB
% 6.56/1.97 % (3385787)Instructions burned: 142 (million)
% 6.56/1.97 % (3385788)Instruction limit reached!
% 6.56/1.97 % (3385788)------------------------------
% 6.56/1.97 % (3385788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385788)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385788)Termination reason: Instruction limit
% 6.56/1.97 % (3385788)Termination phase: Saturation
% 6.56/1.97 % (3385788)Time elapsed: 0.070 s
% 6.56/1.97 % (3385788)Peak memory usage: 89 MB
% 6.56/1.97 % (3385788)Instructions burned: 130 (million)
% 6.56/1.97 % (3385786)Instruction limit reached!
% 6.56/1.97 % (3385786)------------------------------
% 6.56/1.97 % (3385786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385786)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385786)Termination reason: Instruction limit
% 6.56/1.97 % (3385786)Termination phase: Saturation
% 6.56/1.97 % (3385786)Time elapsed: 0.072 s
% 6.56/1.97 % (3385786)Peak memory usage: 89 MB
% 6.56/1.97 % (3385786)Instructions burned: 119 (million)
% 6.56/1.97 % (3385785)Instruction limit reached!
% 6.56/1.97 % (3385785)------------------------------
% 6.56/1.97 % (3385785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385785)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385785)Termination reason: Instruction limit
% 6.56/1.97 % (3385785)Termination phase: Saturation
% 6.56/1.97 % (3385785)Time elapsed: 0.075 s
% 6.56/1.97 % (3385785)Peak memory usage: 90 MB
% 6.56/1.97 % (3385785)Instructions burned: 110 (million)
% 6.56/1.97 % (3385796)lrs+10_1_sil=8000:sp=occurrence:random_seed=404006753:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.56/1.97 % (3385797)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3468331878:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.56/1.97 % (3385799)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=3041750485:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.56/1.97 % (3385798)lrs+1011_1_sil=32000:sp=occurrence:random_seed=338933509:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.56/1.97 % (3385796)Instruction limit reached!
% 6.56/1.97 % (3385796)------------------------------
% 6.56/1.97 % (3385796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385796)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385796)Termination reason: Instruction limit
% 6.56/1.97 % (3385796)Termination phase: Saturation
% 6.56/1.97 % (3385796)Time elapsed: 0.101 s
% 6.56/1.97 % (3385796)Peak memory usage: 92 MB
% 6.56/1.97 % (3385796)Instructions burned: 288 (million)
% 6.56/1.97 % (3385797)Instruction limit reached!
% 6.56/1.97 % (3385797)------------------------------
% 6.56/1.97 % (3385797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385797)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385797)Termination reason: Instruction limit
% 6.56/1.97 % (3385797)Termination phase: Saturation
% 6.56/1.97 % (3385797)Time elapsed: 0.094 s
% 6.56/1.97 % (3385797)Peak memory usage: 90 MB
% 6.56/1.97 % (3385797)Instructions burned: 159 (million)
% 6.56/1.97 % (3385804)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=485238330:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.56/1.97 % (3385799)Instruction limit reached!
% 6.56/1.97 % (3385799)------------------------------
% 6.56/1.97 % (3385799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385799)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385799)Termination reason: Instruction limit
% 6.56/1.97 % (3385799)Termination phase: Saturation
% 6.56/1.97 % (3385799)Time elapsed: 0.150 s
% 6.56/1.97 % (3385799)Peak memory usage: 92 MB
% 6.56/1.97 % (3385799)Instructions burned: 249 (million)
% 6.56/1.97 % (3385798)Instruction limit reached!
% 6.56/1.97 % (3385798)------------------------------
% 6.56/1.97 % (3385798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385798)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385798)Termination reason: Instruction limit
% 6.56/1.97 % (3385798)Termination phase: Saturation
% 6.56/1.97 % (3385798)Time elapsed: 0.227 s
% 6.56/1.97 % (3385798)Peak memory usage: 92 MB
% 6.56/1.97 % (3385798)Instructions burned: 326 (million)
% 6.56/1.97 % (3385804)Instruction limit reached!
% 6.56/1.97 % (3385804)------------------------------
% 6.56/1.97 % (3385804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385804)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385804)Termination reason: Instruction limit
% 6.56/1.97 % (3385804)Termination phase: Saturation
% 6.56/1.97 % (3385804)Time elapsed: 0.100 s
% 6.56/1.97 % (3385804)Peak memory usage: 90 MB
% 6.56/1.97 % (3385804)Instructions burned: 294 (million)
% 6.56/1.97 % (3385805)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=468056:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.56/1.97 % (3385807)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1842340380:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.56/1.97 % (3385809)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3708573176:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.56/1.97 % (3385809)Instruction limit reached!
% 6.56/1.97 % (3385809)------------------------------
% 6.56/1.97 % (3385809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385809)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385809)Termination reason: Instruction limit
% 6.56/1.97 % (3385809)Termination phase: Saturation
% 6.56/1.97 % (3385809)Time elapsed: 0.037 s
% 6.56/1.97 % (3385809)Peak memory usage: 89 MB
% 6.56/1.97 % (3385809)Instructions burned: 117 (million)
% 6.56/1.97 % (3385807)Instruction limit reached!
% 6.56/1.97 % (3385807)------------------------------
% 6.56/1.97 % (3385807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385807)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385807)Termination reason: Instruction limit
% 6.56/1.97 % (3385807)Termination phase: Saturation
% 6.56/1.97 % (3385807)Time elapsed: 0.077 s
% 6.56/1.97 % (3385807)Peak memory usage: 91 MB
% 6.56/1.97 % (3385807)Instructions burned: 114 (million)
% 6.56/1.97 % (3385808)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2958175262:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.56/1.97 % (3385782)First to succeed.
% 6.56/1.97 % (3385782)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3385777"
% 6.56/1.97 % (3385808)Instruction limit reached!
% 6.56/1.97 % (3385808)------------------------------
% 6.56/1.97 % (3385808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.97 % (3385808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.97 % (3385808)CaDiCaL version: 2.1.3
% 6.56/1.97 % (3385808)Termination reason: Instruction limit
% 6.56/1.97 % (3385808)Termination phase: Saturation
% 6.56/1.97 % (3385808)Time elapsed: 0.067 s
% 6.56/1.97 % (3385808)Peak memory usage: 89 MB
% 6.56/1.97 % (3385808)Instructions burned: 129 (million)
% 6.56/1.97 % (3385813)lrs+10_1_sil=8000:sp=occurrence:random_seed=4075319355:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.56/1.97 % (3385815)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2096941422:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.56/1.97 % (3385816)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1745604223:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.56/1.97 % (3385813)Also succeeded, but the first one will report.
% 6.56/1.97 % (3385782)Refutation found. Thanks to Tanya!
% 6.56/1.97 % SZS status Theorem for theBenchmark
% 6.56/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.44/2.17 % (3385782)------------------------------
% 8.44/2.17 % (3385782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.17 % (3385782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.17 % (3385782)CaDiCaL version: 2.1.3
% 8.44/2.17 % (3385782)Termination reason: Refutation
% 8.44/2.17 % (3385782)Time elapsed: 0.671 s
% 8.44/2.17 % (3385782)Peak memory usage: 131 MB
% 8.44/2.17 % (3385782)Instructions burned: 1018 (million)
% 8.44/2.17 % (3385782)------------------------------
% 8.44/2.17 % (3385782)------------------------------
% 8.44/2.17 % (3385777)Success in time 1.107 s
% 8.44/2.17 % Vampire exiting
%------------------------------------------------------------------------------