%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM577+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:24:53 PM UTC 2026
% Result : Theorem 18.09s 3.09s
% Output : Refutation 18.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 143 ( 17 unt; 8 def)
% Number of atoms : 596 ( 40 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 720 ( 267 ~; 247 |; 137 &)
% ( 25 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn 141 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f86,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/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/sandbox/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(f91,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(f92,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(f95,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f112,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f116,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f115]) ).
fof(f128,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f208,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,[],[f91]) ).
fof(f209,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,[],[f208]) ).
fof(f210,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(f211,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(f212,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,[],[f211]) ).
fof(f215,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,[],[f92]) ).
fof(f216,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,[],[f215]) ).
fof(f217,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f226,plain,
! [X2,X0,X1] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f227,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| X1 != X3
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f116]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aSet0(X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f116]) ).
fof(f260,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f461,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f209]) ).
fof(f463,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f209]) ).
fof(f464,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f469,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f470,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f471,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f473,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f477,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f478,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f483,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
| aElementOf0(sK34,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f484,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
| ~ aElementOf0(sK34,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(cnf_transformation,[],[f216]) ).
fof(f516,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(cnf_transformation,[],[f216]) ).
fof(f523,plain,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnf_transformation,[],[f216]) ).
fof(f533,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f249]) ).
fof(f537,plain,
! [X2,X3,X0] :
( ~ aElement0(X3)
| ~ aSet0(X0)
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X3) != X2 ),
inference(equality_resolution,[],[f241]) ).
fof(f538,plain,
! [X3,X0] :
( ~ aElementOf0(X3,sdtmndt0(X0,X3))
| ~ aSet0(X0)
| ~ aElement0(X3) ),
inference(equality_resolution,[],[f537]) ).
fof(f580,definition,
( spl36_1
<=> aElementOf0(sK34,sdtlpdtrp0(xN,xm)) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f581,plain,
( ~ aElementOf0(sK34,sdtlpdtrp0(xN,xm))
| spl36_1 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f582,plain,
( aElementOf0(sK34,sdtlpdtrp0(xN,xm))
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f601,definition,
( spl36_5
<=> szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f602,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm))
| spl36_5 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
| ~ spl36_5 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f607,definition,
( spl36_6
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
fof(f608,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| spl36_6 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f609,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ spl36_6 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f622,definition,
( spl36_8
<=> aElementOf0(sK34,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
fof(f623,plain,
( aElementOf0(sK34,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ spl36_8 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( ~ aElementOf0(sK34,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| spl36_8 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f649,definition,
( spl36_12
<=> aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
introduced(definition,[new_symbols(definition,[spl36_12])],[avatar_definition]) ).
fof(f650,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ spl36_12 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f651,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| spl36_12 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f785,definition,
( spl36_18
<=> aSet0(sdtlpdtrp0(xN,xn)) ),
introduced(definition,[new_symbols(definition,[spl36_18])],[avatar_definition]) ).
fof(f786,plain,
( aSet0(sdtlpdtrp0(xN,xn))
| ~ spl36_18 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f787,plain,
( ~ aSet0(sdtlpdtrp0(xN,xn))
| spl36_18 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f805,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl36_18 ),
inference(resolution,[],[f787,f471]) ).
fof(f807,plain,
( $false
| spl36_18 ),
inference(forward_subsumption_resolution,[],[f805,f478]) ).
fof(f808,plain,
spl36_18,
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f923,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aSet0(sdtmndt0(X2,X0))
| ~ aSubsetOf0(X1,sdtmndt0(X2,X0))
| ~ aSet0(X2)
| ~ aElement0(X0) ),
inference(resolution,[],[f226,f538]) ).
fof(f942,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,sdtmndt0(X2,X0))
| ~ aElementOf0(X0,X1)
| ~ aSet0(X2)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f923,f533]) ).
fof(f1152,plain,
( ! [X0] :
( ~ aElementOf0(sK34,X0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| spl36_8 ),
inference(resolution,[],[f624,f226]) ).
fof(f1153,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aElementOf0(sK34,X0) )
| ~ spl36_6
| spl36_8 ),
inference(forward_subsumption_resolution,[],[f1152,f609]) ).
fof(f1526,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2) ),
inference(forward_subsumption_resolution,[],[f231,f227]) ).
fof(f1536,plain,
( ! [X0] :
( ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| spl36_12 ),
inference(resolution,[],[f1526,f651]) ).
fof(f1541,plain,
( ! [X0] :
( ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0) )
| ~ spl36_6
| spl36_12 ),
inference(forward_subsumption_resolution,[],[f1536,f609]) ).
fof(f2447,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(forward_subsumption_resolution,[],[f464,f469]) ).
fof(f2448,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2447,f470]) ).
fof(f2541,definition,
( spl36_41
<=> aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl36_41])],[avatar_definition]) ).
fof(f2542,plain,
( aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ spl36_41 ),
inference(avatar_component_clause,[],[f2541]) ).
fof(f2543,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| spl36_41 ),
inference(avatar_component_clause,[],[f2541]) ).
fof(f2556,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl36_41 ),
inference(resolution,[],[f2543,f260]) ).
fof(f2565,plain,
( $false
| spl36_41 ),
inference(forward_subsumption_resolution,[],[f2556,f478]) ).
fof(f2566,plain,
spl36_41,
inference(avatar_contradiction_clause,[],[f2565]) ).
fof(f2567,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(forward_subsumption_resolution,[],[f463,f469]) ).
fof(f2568,plain,
! [X0] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2567,f470]) ).
fof(f3030,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(forward_subsumption_resolution,[],[f461,f469]) ).
fof(f3031,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f3030,f470]) ).
fof(f5160,definition,
( spl36_56
<=> aSet0(sdtlpdtrp0(xN,xm)) ),
introduced(definition,[new_symbols(definition,[spl36_56])],[avatar_definition]) ).
fof(f5161,plain,
( aSet0(sdtlpdtrp0(xN,xm))
| ~ spl36_56 ),
inference(avatar_component_clause,[],[f5160]) ).
fof(f5162,plain,
( ~ aSet0(sdtlpdtrp0(xN,xm))
| spl36_56 ),
inference(avatar_component_clause,[],[f5160]) ).
fof(f5168,plain,
( ~ aElementOf0(xm,szNzAzT0)
| spl36_56 ),
inference(resolution,[],[f5162,f471]) ).
fof(f5170,plain,
( $false
| spl36_56 ),
inference(forward_subsumption_resolution,[],[f5168,f477]) ).
fof(f5171,plain,
spl36_56,
inference(avatar_contradiction_clause,[],[f5170]) ).
fof(f5384,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0) )
| ~ spl36_6
| spl36_12
| ~ spl36_56 ),
inference(forward_subsumption_resolution,[],[f1541,f5161]) ).
fof(f6563,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(xn,szNzAzT0)
| ~ spl36_6
| spl36_12
| ~ spl36_56 ),
inference(resolution,[],[f5384,f3031]) ).
fof(f6571,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ spl36_6
| spl36_12
| ~ spl36_56 ),
inference(forward_subsumption_resolution,[],[f6563,f478]) ).
fof(f6627,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ spl36_6
| spl36_12
| ~ spl36_56 ),
inference(resolution,[],[f6571,f473]) ).
fof(f6630,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ spl36_6
| spl36_12
| ~ spl36_56 ),
inference(forward_subsumption_resolution,[],[f6627,f477]) ).
fof(f6631,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ spl36_6
| spl36_12
| ~ spl36_56 ),
inference(forward_subsumption_resolution,[],[f6630,f523]) ).
fof(f6632,plain,
( $false
| ~ spl36_6
| spl36_12
| ~ spl36_41
| ~ spl36_56 ),
inference(forward_subsumption_resolution,[],[f6631,f2542]) ).
fof(f6633,plain,
( ~ spl36_6
| spl36_12
| ~ spl36_41
| ~ spl36_56 ),
inference(avatar_contradiction_clause,[],[f6632]) ).
fof(f6635,plain,
( ~ aElementOf0(sK34,sdtlpdtrp0(xN,xm))
| ~ spl36_6
| spl36_8
| ~ spl36_12 ),
inference(resolution,[],[f650,f1153]) ).
fof(f6643,plain,
( $false
| ~ spl36_1
| ~ spl36_6
| spl36_8
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f6635,f582]) ).
fof(f6644,plain,
( ~ spl36_1
| ~ spl36_6
| spl36_8
| ~ spl36_12 ),
inference(avatar_contradiction_clause,[],[f6643]) ).
fof(f6649,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f516,f650]) ).
fof(f6651,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))
| ~ spl36_5
| ~ spl36_12 ),
inference(forward_demodulation,[],[f6649,f603]) ).
fof(f12066,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xn))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))
| ~ spl36_12 ),
inference(resolution,[],[f942,f650]) ).
fof(f12077,plain,
( ~ aSet0(sdtlpdtrp0(xN,xn))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))
| ~ spl36_5
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f12066,f6651]) ).
fof(f12080,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))
| ~ spl36_5
| ~ spl36_12
| ~ spl36_18 ),
inference(forward_subsumption_resolution,[],[f12077,f786]) ).
fof(f12110,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl36_6 ),
inference(resolution,[],[f608,f2568]) ).
fof(f12116,plain,
( $false
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f12110,f478]) ).
fof(f12117,plain,
spl36_6,
inference(avatar_contradiction_clause,[],[f12116]) ).
fof(f12120,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f484,f623]) ).
fof(f12172,plain,
( $false
| spl36_5
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f12120,f602]) ).
fof(f12173,plain,
( spl36_5
| ~ spl36_8 ),
inference(avatar_contradiction_clause,[],[f12172]) ).
fof(f12180,plain,
( aElementOf0(sK34,sdtlpdtrp0(xN,xm))
| spl36_5 ),
inference(forward_subsumption_resolution,[],[f483,f602]) ).
fof(f12199,plain,
( $false
| spl36_1
| spl36_5 ),
inference(forward_subsumption_resolution,[],[f12180,f581]) ).
fof(f12200,plain,
( spl36_1
| spl36_5 ),
inference(avatar_contradiction_clause,[],[f12199]) ).
fof(f12274,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aSet0(X0) )
| ~ spl36_5
| ~ spl36_12
| ~ spl36_18 ),
inference(resolution,[],[f12080,f217]) ).
fof(f12520,plain,
( ~ aSet0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0)
| ~ spl36_5
| ~ spl36_12
| ~ spl36_18 ),
inference(resolution,[],[f12274,f2448]) ).
fof(f12547,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ spl36_5
| ~ spl36_12
| ~ spl36_18 ),
inference(forward_subsumption_resolution,[],[f12520,f471]) ).
fof(f12561,plain,
( $false
| ~ spl36_5
| ~ spl36_12
| ~ spl36_18 ),
inference(forward_subsumption_resolution,[],[f12547,f478]) ).
fof(f12562,plain,
( ~ spl36_5
| ~ spl36_12
| ~ spl36_18 ),
inference(avatar_contradiction_clause,[],[f12561]) ).
cnf(s16,plain,
spl36_18,
inference(sat_conversion,[],[f808]) ).
cnf(s38,plain,
spl36_41,
inference(sat_conversion,[],[f2566]) ).
cnf(s53,plain,
spl36_56,
inference(sat_conversion,[],[f5171]) ).
cnf(s77,plain,
( ~ spl36_6
| spl36_12
| ~ spl36_41
| ~ spl36_56 ),
inference(sat_conversion,[],[f6633]) ).
cnf(s79,plain,
( ~ spl36_1
| ~ spl36_6
| spl36_8
| ~ spl36_12 ),
inference(sat_conversion,[],[f6644]) ).
cnf(s156,plain,
spl36_6,
inference(sat_conversion,[],[f12117]) ).
cnf(s160,plain,
( spl36_5
| ~ spl36_8 ),
inference(sat_conversion,[],[f12173]) ).
cnf(s161,plain,
( spl36_1
| spl36_5 ),
inference(sat_conversion,[],[f12200]) ).
cnf(s167,plain,
( ~ spl36_5
| ~ spl36_12
| ~ spl36_18 ),
inference(sat_conversion,[],[f12562]) ).
cnf(s178,plain,
( ~ spl36_1
| spl36_8
| ~ spl36_12 ),
inference(rat,[],[s79,s156]) ).
cnf(s180,plain,
( spl36_12
| ~ spl36_41
| ~ spl36_56 ),
inference(rat,[],[s77,s156]) ).
cnf(s189,plain,
spl36_12,
inference(rat,[],[s180,s53,s38]) ).
cnf(s199,plain,
~ spl36_5,
inference(rat,[],[s167,s189,s16]) ).
cnf(s200,plain,
spl36_1,
inference(rat,[],[s161,s199]) ).
cnf(s201,plain,
~ spl36_8,
inference(rat,[],[s160,s199]) ).
cnf(s202,plain,
$false,
inference(rat,[],[s178,s189,s201,s200]) ).
fof(f12566,plain,
$false,
inference(avatar_sat_refutation,[],[s202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM577+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n006.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 20:34:25 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.09/3.09 % (3290974)Will run a generic schedule for satisfiability detection.
% 18.09/3.09 % (3290980)% WARNING: option uhcvi not known.
% 18.09/3.09 % (3290980)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=487787071:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.09/3.09 % (3290979)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3459528046_2999 on theBenchmark for (2999ds/0Mi)
% 18.09/3.09 % (3290983)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2074244440:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.09/3.09 % (3290982)dis+10_1_sil=32000:sp=arity:random_seed=2157299993:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.09/3.09 % (3290985)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3649796651:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.09/3.09 % (3290981)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=202281110:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.09/3.09 % (3290984)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=591239920:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.09/3.09 % TRYING [1]
% 18.09/3.09 % TRYING [2]
% 18.09/3.09 % TRYING [3]
% 18.09/3.09 % (3290982)Instruction limit reached!
% 18.09/3.09 % (3290982)------------------------------
% 18.09/3.09 % (3290982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290982)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290982)Termination reason: Instruction limit
% 18.09/3.09 % (3290982)Termination phase: Saturation
% 18.09/3.09 % (3290982)Time elapsed: 0.105 s
% 18.09/3.09 % (3290982)Peak memory usage: 13 MB
% 18.09/3.09 % (3290982)Instructions burned: 103 (million)
% 18.09/3.09 % (3290983)Instruction limit reached!
% 18.09/3.09 % (3290983)------------------------------
% 18.09/3.09 % (3290983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290983)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290983)Termination reason: Instruction limit
% 18.09/3.09 % (3290983)Termination phase: Saturation
% 18.09/3.09 % (3290983)Time elapsed: 0.112 s
% 18.09/3.09 % (3290983)Peak memory usage: 13 MB
% 18.09/3.09 % (3290983)Instructions burned: 117 (million)
% 18.09/3.09 % TRYING [4]
% 18.09/3.09 % (3290994)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2771011032:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.09/3.09 % (3290984)Instruction limit reached!
% 18.09/3.09 % (3290984)------------------------------
% 18.09/3.09 % (3290984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290984)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290984)Termination reason: Instruction limit
% 18.09/3.09 % (3290984)Termination phase: Saturation
% 18.09/3.09 % (3290984)Time elapsed: 0.133 s
% 18.09/3.09 % (3290984)Peak memory usage: 14 MB
% 18.09/3.09 % (3290984)Instructions burned: 131 (million)
% 18.09/3.09 % (3290993)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1733574218:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 18.09/3.09 % (3290996)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1243819835:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.09/3.09 % (3290985)Instruction limit reached!
% 18.09/3.09 % (3290985)------------------------------
% 18.09/3.09 % (3290985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290985)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290985)Termination reason: Instruction limit
% 18.09/3.09 % (3290985)Termination phase: Saturation
% 18.09/3.09 % (3290985)Time elapsed: 0.176 s
% 18.09/3.09 % (3290985)Peak memory usage: 14 MB
% 18.09/3.09 % (3290985)Instructions burned: 159 (million)
% 18.09/3.09 % TRYING [1]
% 18.09/3.09 % TRYING [2]
% 18.09/3.09 % TRYING [3]
% 18.09/3.09 % (3290999)ott-21_1_sil=16000:fs=off:random_seed=1498080258:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 18.09/3.09 % (3290994)Instruction limit reached!
% 18.09/3.09 % (3290994)------------------------------
% 18.09/3.09 % (3290994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290994)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290994)Termination reason: Instruction limit
% 18.09/3.09 % (3290994)Termination phase: Saturation
% 18.09/3.09 % (3290994)Time elapsed: 0.075 s
% 18.09/3.09 % (3290994)Peak memory usage: 13 MB
% 18.09/3.09 % (3290994)Instructions burned: 131 (million)
% 18.09/3.09 % TRYING [4]
% 18.09/3.09 % (3291001)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1878603657:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.09/3.09 % (3290999)Instruction limit reached!
% 18.09/3.09 % (3290999)------------------------------
% 18.09/3.09 % (3290999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290999)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290999)Termination reason: Instruction limit
% 18.09/3.09 % (3290999)Termination phase: Saturation
% 18.09/3.09 % (3290999)Time elapsed: 0.109 s
% 18.09/3.09 % (3290999)Peak memory usage: 13 MB
% 18.09/3.09 % (3290999)Instructions burned: 181 (million)
% 18.09/3.09 % (3291003)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2099544613:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 18.09/3.09 % TRYING [1]
% 18.09/3.09 % TRYING [2]
% 18.09/3.09 % TRYING [5]
% 18.09/3.09 % TRYING [3]
% 18.09/3.09 % TRYING [5]
% 18.09/3.09 % TRYING [4]
% 18.09/3.09 % (3290993)Instruction limit reached!
% 18.09/3.09 % (3290993)------------------------------
% 18.09/3.09 % (3290993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290993)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290993)Termination reason: Instruction limit
% 18.09/3.09 % (3290993)Termination phase: Finite model building constraint generation
% 18.09/3.09 % (3290993)Time elapsed: 0.534 s
% 18.09/3.09 % (3290993)Peak memory usage: 35 MB
% 18.09/3.09 % (3290993)Instructions burned: 714 (million)
% 18.09/3.09 % (3291003)Instruction limit reached!
% 18.09/3.09 % (3291003)------------------------------
% 18.09/3.09 % (3291003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3291003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3291003)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3291003)Termination reason: Instruction limit
% 18.09/3.09 % (3291003)Termination phase: Finite model building SAT solving
% 18.09/3.09 % (3291003)Time elapsed: 0.365 s
% 18.09/3.09 % (3291003)Peak memory usage: 28 MB
% 18.09/3.09 % (3291003)Instructions burned: 867 (million)
% 18.09/3.09 % (3290996)Instruction limit reached!
% 18.09/3.09 % (3290996)------------------------------
% 18.09/3.09 % (3290996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3290996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3290996)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3290996)Termination reason: Instruction limit
% 18.09/3.09 % (3290996)Termination phase: Saturation
% 18.09/3.09 % (3290996)Time elapsed: 0.555 s
% 18.09/3.09 % (3290996)Peak memory usage: 18 MB
% 18.09/3.09 % (3290996)Instructions burned: 685 (million)
% 18.09/3.09 % (3291005)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=795403297:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 18.09/3.09 % (3291006)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3733385778:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 18.09/3.09 % (3291007)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=216535325:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 18.09/3.09 % (3291001)Instruction limit reached!
% 18.09/3.09 % (3291001)------------------------------
% 18.09/3.09 % (3291001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3291001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3291001)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3291001)Termination reason: Instruction limit
% 18.09/3.09 % (3291001)Termination phase: Saturation
% 18.09/3.09 % (3291001)Time elapsed: 0.521 s
% 18.09/3.09 % (3291001)Peak memory usage: 15 MB
% 18.09/3.09 % (3291001)Instructions burned: 477 (million)
% 18.09/3.09 % (3291011)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3937486011:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 18.09/3.09 % TRYING [6]
% 18.09/3.09 % (3291006)Instruction limit reached!
% 18.09/3.09 % (3291006)------------------------------
% 18.09/3.09 % (3291006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3291006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3291006)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3291006)Termination reason: Instruction limit
% 18.09/3.09 % (3291006)Termination phase: Finite model building constraint generation
% 18.09/3.09 % (3291006)Time elapsed: 0.460 s
% 18.09/3.09 % (3291006)Peak memory usage: 104 MB
% 18.09/3.09 % (3291006)Instructions burned: 890 (million)
% 18.09/3.09 % (3291013)fmb+10_1_sil=64000:random_seed=555823928:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 18.09/3.09 % TRYING [1]
% 18.09/3.09 % TRYING [2]
% 18.09/3.09 % TRYING [3]
% 18.09/3.09 % TRYING [4]
% 18.09/3.09 % (3291007)Instruction limit reached!
% 18.09/3.09 % (3291007)------------------------------
% 18.09/3.09 % (3291007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3291007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3291007)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3291007)Termination reason: Instruction limit
% 18.09/3.09 % (3291007)Termination phase: Saturation
% 18.09/3.09 % (3291007)Time elapsed: 0.627 s
% 18.09/3.09 % (3291007)Peak memory usage: 24 MB
% 18.09/3.09 % (3291007)Instructions burned: 693 (million)
% 18.09/3.09 % (3291015)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=968357572:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 18.09/3.09 % TRYING [20]
% 18.09/3.09 % TRYING [5]
% 18.09/3.09 % (3291011)Instruction limit reached!
% 18.09/3.09 % (3291011)------------------------------
% 18.09/3.09 % (3291011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3291011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3291011)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3291011)Termination reason: Instruction limit
% 18.09/3.09 % (3291011)Termination phase: Saturation
% 18.09/3.09 % (3291011)Time elapsed: 0.825 s
% 18.09/3.09 % (3291011)Peak memory usage: 21 MB
% 18.09/3.09 % (3291011)Instructions burned: 879 (million)
% 18.09/3.09 % (3291017)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=113372277:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 18.09/3.09 % TRYING [8]
% 18.09/3.09 % (3291005)Instruction limit reached!
% 18.09/3.09 % (3291005)------------------------------
% 18.09/3.09 % (3291005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3291005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3291005)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3291005)Termination reason: Instruction limit
% 18.09/3.09 % (3291005)Termination phase: Saturation
% 18.09/3.09 % (3291005)Time elapsed: 1.156 s
% 18.09/3.09 % (3291005)Peak memory usage: 25 MB
% 18.09/3.09 % (3291005)Instructions burned: 1179 (million)
% 18.09/3.09 % (3291019)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=282475754:i=5131_2980 on theBenchmark for (2980ds/5131Mi)
% 18.09/3.09 % TRYING [6]
% 18.09/3.09 % (3291017)Instruction limit reached!
% 18.09/3.09 % (3291017)------------------------------
% 18.09/3.09 % (3291017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.09 % (3291017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.09 % (3291017)CaDiCaL version: 2.1.3
% 18.09/3.09 % (3291017)Termination reason: Instruction limit
% 18.09/3.09 % (3291017)Termination phase: Finite model building constraint generation
% 18.09/3.09 % (3291017)Time elapsed: 0.499 s
% 18.09/3.09 % (3291017)Peak memory usage: 55 MB
% 18.09/3.09 % (3291017)Instructions burned: 920 (million)
% 18.09/3.09 % (3291021)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2024282450:i=1472:ins=7:fdi=8:gsp=on_2977 on theBenchmark for (2977ds/1472Mi)
% 18.09/3.09 % (3291019) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3290974-3291019"...
% 18.09/3.09 % (3291019)...printing done.
% 18.09/3.09 % (3291019)Refutation found. Thanks to Tanya!
% 18.09/3.09 % SZS status Theorem for theBenchmark
% 18.09/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 18.09/3.10 % (3291019)------------------------------
% 18.09/3.10 % (3291019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.09/3.10 % (3291019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.10 % (3291019)CaDiCaL version: 2.1.3
% 18.09/3.10 % (3291019)Termination reason: Refutation
% 18.09/3.10 % (3291019)Time elapsed: 0.607 s
% 18.09/3.10 % (3291019)Peak memory usage: 17 MB
% 18.09/3.10 % (3291019)Instructions burned: 587 (million)
% 18.09/3.10 % (3290974)Success in time 2.6 s
% 18.09/3.10 % Vampire exiting
%------------------------------------------------------------------------------