%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM575+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:24:52 PM UTC 2026
% Result : Theorem 21.83s 3.90s
% Output : Refutation 21.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 114 ( 17 unt; 4 def)
% Number of atoms : 461 ( 43 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 548 ( 201 ~; 189 |; 113 &)
% ( 14 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 141 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(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(f84,conjecture,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 )
=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f85,negated_conjecture,
~ ! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 )
=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f84]) ).
fof(f88,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(f89,plain,
~ ! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 )
=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
inference(rectify,[],[f85]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f112,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(f113,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,[],[f112]) ).
fof(f125,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f139,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f140,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f139]) ).
fof(f143,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f144,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f143]) ).
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(ennf_transformation,[],[f88]) ).
fof(f206,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,[],[f205]) ).
fof(f207,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(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(ennf_transformation,[],[f83]) ).
fof(f209,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,[],[f208]) ).
fof(f210,plain,
? [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
& szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 ),
inference(ennf_transformation,[],[f89]) ).
fof(f211,plain,
? [X0,X1] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X1)) )
& szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& X0 != X1 ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| X1 != X3
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f113]) ).
fof(f255,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f266,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f268,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f442,plain,
! [X3,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f206]) ).
fof(f448,plain,
! [X0,X4] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f206]) ).
fof(f459,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,[],[f206]) ).
fof(f464,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f465,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f466,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f471,plain,
sK34 != sK35,
inference(cnf_transformation,[],[f211]) ).
fof(f472,plain,
aElementOf0(sK35,szNzAzT0),
inference(cnf_transformation,[],[f211]) ).
fof(f473,plain,
aElementOf0(sK34,szNzAzT0),
inference(cnf_transformation,[],[f211]) ).
fof(f474,plain,
szmzizndt0(sdtlpdtrp0(xN,sK34)) = szmzizndt0(sdtlpdtrp0(xN,sK35)),
inference(cnf_transformation,[],[f211]) ).
fof(f475,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK35)),
inference(cnf_transformation,[],[f211]) ).
fof(f476,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34)),
inference(cnf_transformation,[],[f211]) ).
fof(f490,plain,
! [X2,X3,X0] :
( ~ aElement0(X3)
| ~ aSet0(X0)
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X3) != X2 ),
inference(equality_resolution,[],[f236]) ).
fof(f491,plain,
! [X3,X0] :
( ~ aElement0(X3)
| ~ aSet0(X0)
| ~ aElementOf0(X3,sdtmndt0(X0,X3)) ),
inference(equality_resolution,[],[f490]) ).
fof(f527,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f442]) ).
fof(f529,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aSet0(X0)
| aElement0(X1) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f559,plain,
! [X3,X0] :
( ~ aElementOf0(X3,sdtmndt0(X0,X3))
| aSet0(X0)
| ~ aElement0(X3) ),
inference(consistent_polarity_flipping,[],[f491]) ).
fof(f573,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f266]) ).
fof(f575,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f268]) ).
fof(f709,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(consistent_polarity_flipping,[],[f459]) ).
fof(f720,plain,
! [X0,X4] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(consistent_polarity_flipping,[],[f448]) ).
fof(f726,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(consistent_polarity_flipping,[],[f527]) ).
fof(f733,plain,
! [X0] :
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f466]) ).
fof(f734,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f465]) ).
fof(f736,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(consistent_polarity_flipping,[],[f467]) ).
fof(f1737,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK34)
| sdtlseqdt0(sK34,X0)
| sK34 = X0 ),
inference(resolution,[],[f573,f473]) ).
fof(f2243,plain,
! [X0] :
( ~ aElementOf0(sK35,szNzAzT0)
| sdtlseqdt0(X0,sK35)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f736,f475]) ).
fof(f2244,plain,
! [X0] :
( ~ aElementOf0(sK34,szNzAzT0)
| sdtlseqdt0(X0,sK34)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f736,f476]) ).
fof(f2252,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK34) ),
inference(forward_subsumption_resolution,[],[f2244,f473]) ).
fof(f2253,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK35) ),
inference(forward_subsumption_resolution,[],[f2243,f472]) ).
fof(f2305,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(forward_subsumption_resolution,[],[f709,f464]) ).
fof(f2306,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2305,f734]) ).
fof(f2312,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(resolution,[],[f2306,f529]) ).
fof(f2318,plain,
! [X0] :
( aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2312,f733]) ).
fof(f2600,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(forward_subsumption_resolution,[],[f726,f464]) ).
fof(f2601,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2600,f734]) ).
fof(f2604,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtmndt0(sdtlpdtrp0(xN,sK35),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ~ aElementOf0(sK35,szNzAzT0) ),
inference(superposition,[],[f2601,f474]) ).
fof(f2605,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtmndt0(sdtlpdtrp0(xN,sK35),szmzizndt0(sdtlpdtrp0(xN,sK34)))),
inference(forward_subsumption_resolution,[],[f2604,f472]) ).
fof(f2847,plain,
! [X0,X4] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(forward_subsumption_resolution,[],[f720,f464]) ).
fof(f2848,plain,
! [X0,X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(forward_subsumption_resolution,[],[f2847,f734]) ).
fof(f3774,definition,
( spl36_206
<=> sdtlseqdt0(sK35,sK34) ),
introduced(definition,[new_symbols(definition,[spl36_206])],[avatar_definition]) ).
fof(f3778,definition,
( spl36_207
<=> sdtlseqdt0(sK34,sK35) ),
introduced(definition,[new_symbols(definition,[spl36_207])],[avatar_definition]) ).
fof(f4015,plain,
( sdtlseqdt0(sK35,sK34)
| sdtlseqdt0(sK34,sK35)
| sK34 = sK35 ),
inference(resolution,[],[f1737,f472]) ).
fof(f4022,plain,
( sdtlseqdt0(sK35,sK34)
| sdtlseqdt0(sK34,sK35) ),
inference(forward_subsumption_resolution,[],[f4015,f471]) ).
fof(f4074,plain,
( spl36_207
| spl36_206 ),
inference(avatar_split_clause,[],[f4022,f3774,f3778]) ).
fof(f4678,plain,
! [X0] :
( ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),sK34)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(resolution,[],[f2252,f2848]) ).
fof(f4690,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),sK34) ),
inference(forward_subsumption_resolution,[],[f4678,f255]) ).
fof(f4710,plain,
! [X0] :
( ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),sK35)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(resolution,[],[f2253,f2848]) ).
fof(f4722,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),sK35) ),
inference(forward_subsumption_resolution,[],[f4710,f255]) ).
fof(f26168,definition,
( spl36_1606
<=> sdtlseqdt0(szszuzczcdt0(sK35),sK34) ),
introduced(definition,[new_symbols(definition,[spl36_1606])],[avatar_definition]) ).
fof(f26170,plain,
( sdtlseqdt0(szszuzczcdt0(sK35),sK34)
| ~ spl36_1606 ),
inference(avatar_component_clause,[],[f26168]) ).
fof(f26479,definition,
( spl36_1641
<=> sdtlseqdt0(szszuzczcdt0(sK34),sK35) ),
introduced(definition,[new_symbols(definition,[spl36_1641])],[avatar_definition]) ).
fof(f26480,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK34),sK35)
| spl36_1641 ),
inference(avatar_component_clause,[],[f26479]) ).
fof(f26481,plain,
( sdtlseqdt0(szszuzczcdt0(sK34),sK35)
| ~ spl36_1641 ),
inference(avatar_component_clause,[],[f26479]) ).
fof(f36979,plain,
( ~ aElementOf0(sK35,szNzAzT0)
| ~ aElementOf0(sK34,szNzAzT0)
| ~ sdtlseqdt0(sK35,sK34)
| ~ spl36_1641 ),
inference(resolution,[],[f26481,f575]) ).
fof(f36988,plain,
( ~ aElementOf0(sK34,szNzAzT0)
| ~ sdtlseqdt0(sK35,sK34)
| ~ spl36_1641 ),
inference(forward_subsumption_resolution,[],[f36979,f472]) ).
fof(f36992,plain,
( ~ sdtlseqdt0(sK35,sK34)
| ~ spl36_1641 ),
inference(forward_subsumption_resolution,[],[f36988,f473]) ).
fof(f37004,plain,
( ~ spl36_206
| ~ spl36_1641 ),
inference(avatar_split_clause,[],[f36992,f26479,f3774]) ).
fof(f42494,plain,
( ~ aElementOf0(sK34,szNzAzT0)
| ~ aElementOf0(sK35,szNzAzT0)
| ~ sdtlseqdt0(sK34,sK35)
| ~ spl36_1606 ),
inference(resolution,[],[f26170,f575]) ).
fof(f42503,plain,
( ~ aElementOf0(sK35,szNzAzT0)
| ~ sdtlseqdt0(sK34,sK35)
| ~ spl36_1606 ),
inference(forward_subsumption_resolution,[],[f42494,f473]) ).
fof(f42507,plain,
( ~ sdtlseqdt0(sK34,sK35)
| ~ spl36_1606 ),
inference(forward_subsumption_resolution,[],[f42503,f472]) ).
fof(f42512,plain,
( ~ spl36_207
| ~ spl36_1606 ),
inference(avatar_split_clause,[],[f42507,f26168,f3778]) ).
fof(f103583,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtmndt0(sdtlpdtrp0(xN,sK35),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ~ aElementOf0(sK35,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK35),sK34) ),
inference(superposition,[],[f4690,f474]) ).
fof(f103589,plain,
( ~ aElementOf0(sK35,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK35),sK34) ),
inference(forward_subsumption_resolution,[],[f103583,f2605]) ).
fof(f103604,plain,
sdtlseqdt0(szszuzczcdt0(sK35),sK34),
inference(forward_subsumption_resolution,[],[f103589,f472]) ).
fof(f103824,plain,
spl36_1606,
inference(avatar_split_clause,[],[f103604,f26168]) ).
fof(f104494,plain,
( ~ aElementOf0(sK34,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK34),sK35)
| aSet0(sdtlpdtrp0(xN,sK34))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK34))) ),
inference(resolution,[],[f4722,f559]) ).
fof(f104529,plain,
( ~ aElementOf0(sK34,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK34),sK35)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK34))) ),
inference(forward_subsumption_resolution,[],[f104494,f733]) ).
fof(f104537,plain,
( ~ aElementOf0(sK34,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK34),sK35) ),
inference(forward_subsumption_resolution,[],[f104529,f2318]) ).
fof(f104541,plain,
sdtlseqdt0(szszuzczcdt0(sK34),sK35),
inference(forward_subsumption_resolution,[],[f104537,f473]) ).
fof(f104542,plain,
( $false
| spl36_1641 ),
inference(forward_subsumption_resolution,[],[f104541,f26480]) ).
fof(f104543,plain,
spl36_1641,
inference(avatar_contradiction_clause,[],[f104542]) ).
cnf(s288,plain,
( spl36_206
| spl36_207 ),
inference(sat_conversion,[],[f4074]) ).
cnf(s3730,plain,
( ~ spl36_206
| ~ spl36_1641 ),
inference(sat_conversion,[],[f37004]) ).
cnf(s4452,plain,
( ~ spl36_207
| ~ spl36_1606 ),
inference(sat_conversion,[],[f42512]) ).
cnf(s12224,plain,
spl36_1606,
inference(sat_conversion,[],[f103824]) ).
cnf(s12375,plain,
spl36_1641,
inference(sat_conversion,[],[f104543]) ).
cnf(s12543,plain,
~ spl36_207,
inference(rat,[],[s4452,s12224]) ).
cnf(s12609,plain,
~ spl36_206,
inference(rat,[],[s3730,s12375]) ).
cnf(s12865,plain,
$false,
inference(rat,[],[s288,s12543,s12609]) ).
fof(f104544,plain,
$false,
inference(avatar_sat_refutation,[],[s12865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM575+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:40:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.78/2.56 % (3932283)Will run a generic schedule for satisfiability detection.
% 14.78/2.56 % (3932291)dis+10_1_sil=32000:sp=arity:random_seed=384104080:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.78/2.56 % (3932289)% WARNING: option uhcvi not known.
% 14.78/2.56 % (3932288)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2094501523_2999 on theBenchmark for (2999ds/0Mi)
% 14.78/2.56 % (3932289)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=632651938:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.78/2.56 % (3932290)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=569834521:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.78/2.56 % (3932292)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3918766906:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.78/2.56 % (3932294)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1860115127:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.78/2.56 % (3932293)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3130241740:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.78/2.56 % TRYING [1]
% 14.78/2.56 % TRYING [2]
% 14.78/2.56 % (3932291)Instruction limit reached!
% 14.78/2.56 % (3932291)------------------------------
% 14.78/2.56 % (3932291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/2.56 % (3932291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/2.56 % (3932291)CaDiCaL version: 2.1.3
% 14.78/2.56 % (3932291)Termination reason: Instruction limit
% 14.78/2.56 % (3932291)Termination phase: Saturation
% 14.78/2.56 % (3932291)Time elapsed: 0.040 s
% 14.78/2.56 % (3932291)Peak memory usage: 13 MB
% 14.78/2.56 % (3932291)Instructions burned: 105 (million)
% 14.78/2.56 % TRYING [3]
% 14.78/2.56 % (3932302)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1604202017:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.78/2.56 % TRYING [4]
% 14.78/2.56 % TRYING [1]
% 14.78/2.56 % TRYING [2]
% 14.78/2.56 % (3932292)Instruction limit reached!
% 14.78/2.56 % (3932292)------------------------------
% 14.78/2.56 % (3932292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/2.56 % (3932292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/2.56 % (3932292)CaDiCaL version: 2.1.3
% 14.78/2.56 % (3932292)Termination reason: Instruction limit
% 14.78/2.56 % (3932292)Termination phase: Saturation
% 14.78/2.56 % (3932292)Time elapsed: 0.073 s
% 14.78/2.56 % (3932292)Peak memory usage: 13 MB
% 14.78/2.56 % (3932292)Instructions burned: 116 (million)
% 14.78/2.56 % TRYING [3]
% 14.78/2.56 % (3932293)Instruction limit reached!
% 14.78/2.56 % (3932293)------------------------------
% 14.78/2.56 % (3932293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/2.56 % (3932293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/2.56 % (3932293)CaDiCaL version: 2.1.3
% 14.78/2.56 % (3932293)Termination reason: Instruction limit
% 14.78/2.56 % (3932293)Termination phase: Saturation
% 14.78/2.56 % (3932293)Time elapsed: 0.083 s
% 14.78/2.56 % (3932293)Peak memory usage: 13 MB
% 14.78/2.56 % (3932293)Instructions burned: 133 (million)
% 14.78/2.56 % (3932304)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=745753662:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.78/2.56 % TRYING [4]
% 14.78/2.56 % (3932294)Instruction limit reached!
% 14.78/2.56 % (3932294)------------------------------
% 14.78/2.56 % (3932294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.78/2.56 % (3932294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/2.56 % (3932294)CaDiCaL version: 2.1.3
% 14.78/2.56 % (3932294)Termination reason: Instruction limit
% 14.78/2.56 % (3932294)Termination phase: Saturation
% 14.78/2.56 % (3932294)Time elapsed: 0.099 s
% 14.78/2.56 % (3932294)Peak memory usage: 15 MB
% 14.78/2.56 % (3932294)Instructions burned: 160 (million)
% 14.78/2.56 % (3932305)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=3191772230:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.78/2.56 % (3932307)ott-21_1_sil=16000:fs=off:random_seed=2479447448:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.78/2.56 % TRYING [5]
% 14.78/2.56 % (3932304)Instruction limit reached!
% 14.78/2.56 % (3932304)------------------------------
% 14.78/2.56 % (3932304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932304)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932304)Termination reason: Instruction limit
% 21.83/3.90 % (3932304)Termination phase: Saturation
% 21.83/3.90 % (3932304)Time elapsed: 0.087 s
% 21.83/3.90 % (3932304)Peak memory usage: 13 MB
% 21.83/3.90 % (3932304)Instructions burned: 131 (million)
% 21.83/3.90 % TRYING [5]
% 21.83/3.90 % (3932310)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=992145868:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.83/3.90 % (3932302)Instruction limit reached!
% 21.83/3.90 % (3932302)------------------------------
% 21.83/3.90 % (3932302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932302)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932302)Termination reason: Instruction limit
% 21.83/3.90 % (3932302)Termination phase: Finite model building SAT solving
% 21.83/3.90 % (3932302)Time elapsed: 0.166 s
% 21.83/3.90 % (3932302)Peak memory usage: 36 MB
% 21.83/3.90 % (3932302)Instructions burned: 716 (million)
% 21.83/3.90 % (3932307)Instruction limit reached!
% 21.83/3.90 % (3932307)------------------------------
% 21.83/3.90 % (3932307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932307)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932307)Termination reason: Instruction limit
% 21.83/3.90 % (3932307)Termination phase: Saturation
% 21.83/3.90 % (3932307)Time elapsed: 0.106 s
% 21.83/3.90 % (3932307)Peak memory usage: 13 MB
% 21.83/3.90 % (3932307)Instructions burned: 180 (million)
% 21.83/3.90 % (3932312)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1660648043:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.83/3.90 % TRYING [1]
% 21.83/3.90 % TRYING [2]
% 21.83/3.90 % (3932313)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2546108401:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 21.83/3.90 % TRYING [3]
% 21.83/3.90 % TRYING [4]
% 21.83/3.90 % (3932312)Instruction limit reached!
% 21.83/3.90 % (3932312)------------------------------
% 21.83/3.90 % (3932312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932312)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932312)Termination reason: Instruction limit
% 21.83/3.90 % (3932312)Termination phase: Finite model building SAT solving
% 21.83/3.90 % (3932312)Time elapsed: 0.201 s
% 21.83/3.90 % (3932312)Peak memory usage: 28 MB
% 21.83/3.90 % (3932312)Instructions burned: 870 (million)
% 21.83/3.90 % (3932316)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2988726851:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 21.83/3.90 % (3932305)Instruction limit reached!
% 21.83/3.90 % (3932305)------------------------------
% 21.83/3.90 % (3932305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932305)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932305)Termination reason: Instruction limit
% 21.83/3.90 % (3932305)Termination phase: Saturation
% 21.83/3.90 % (3932305)Time elapsed: 0.368 s
% 21.83/3.90 % (3932305)Peak memory usage: 18 MB
% 21.83/3.90 % (3932305)Instructions burned: 685 (million)
% 21.83/3.90 % (3932318)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=32766688:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 21.83/3.90 % (3932310)Instruction limit reached!
% 21.83/3.90 % (3932310)------------------------------
% 21.83/3.90 % (3932310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932310)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932310)Termination reason: Instruction limit
% 21.83/3.90 % (3932310)Termination phase: Saturation
% 21.83/3.90 % (3932310)Time elapsed: 0.335 s
% 21.83/3.90 % (3932310)Peak memory usage: 15 MB
% 21.83/3.90 % (3932310)Instructions burned: 477 (million)
% 21.83/3.90 % (3932320)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2369016731:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.83/3.90 % TRYING [6]
% 21.83/3.90 % (3932316)Instruction limit reached!
% 21.83/3.90 % (3932316)------------------------------
% 21.83/3.90 % (3932316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932316)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932316)Termination reason: Instruction limit
% 21.83/3.90 % (3932316)Termination phase: Finite model building constraint generation
% 21.83/3.90 % (3932316)Time elapsed: 0.242 s
% 21.83/3.90 % (3932316)Peak memory usage: 106 MB
% 21.83/3.90 % (3932316)Instructions burned: 895 (million)
% 21.83/3.90 % (3932322)fmb+10_1_sil=64000:random_seed=807090807:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 21.83/3.90 % TRYING [1]
% 21.83/3.90 % TRYING [2]
% 21.83/3.90 % TRYING [3]
% 21.83/3.90 % TRYING [4]
% 21.83/3.90 % TRYING [5]
% 21.83/3.90 % (3932318)Instruction limit reached!
% 21.83/3.90 % (3932318)------------------------------
% 21.83/3.90 % (3932318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932318)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932318)Termination reason: Instruction limit
% 21.83/3.90 % (3932318)Termination phase: Saturation
% 21.83/3.90 % (3932318)Time elapsed: 0.374 s
% 21.83/3.90 % (3932318)Peak memory usage: 21 MB
% 21.83/3.90 % (3932318)Instructions burned: 693 (million)
% 21.83/3.90 % (3932324)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1947663075:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 21.83/3.90 % TRYING [20]
% 21.83/3.90 % (3932313)Instruction limit reached!
% 21.83/3.90 % (3932313)------------------------------
% 21.83/3.90 % (3932313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932313)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932313)Termination reason: Instruction limit
% 21.83/3.90 % (3932313)Termination phase: Saturation
% 21.83/3.90 % (3932313)Time elapsed: 0.728 s
% 21.83/3.90 % (3932313)Peak memory usage: 24 MB
% 21.83/3.90 % (3932313)Instructions burned: 1181 (million)
% 21.83/3.90 % (3932326)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2967737121:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 21.83/3.90 % TRYING [8]
% 21.83/3.90 % (3932320)Instruction limit reached!
% 21.83/3.90 % (3932320)------------------------------
% 21.83/3.90 % (3932320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932320)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932320)Termination reason: Instruction limit
% 21.83/3.90 % (3932320)Termination phase: Saturation
% 21.83/3.90 % (3932320)Time elapsed: 0.496 s
% 21.83/3.90 % (3932320)Peak memory usage: 21 MB
% 21.83/3.90 % (3932320)Instructions burned: 879 (million)
% 21.83/3.90 % (3932328)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=495781238:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 21.83/3.90 % TRYING [6]
% 21.83/3.90 % (3932326)Instruction limit reached!
% 21.83/3.90 % (3932326)------------------------------
% 21.83/3.90 % (3932326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932326)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932326)Termination reason: Instruction limit
% 21.83/3.90 % (3932326)Termination phase: Finite model building constraint generation
% 21.83/3.90 % (3932326)Time elapsed: 0.313 s
% 21.83/3.90 % (3932326)Peak memory usage: 56 MB
% 21.83/3.90 % (3932326)Instructions burned: 922 (million)
% 21.83/3.90 % (3932330)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2813228099:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 21.83/3.90 % TRYING [7]
% 21.83/3.90 % TRYING [7]
% 21.83/3.90 % (3932330)Instruction limit reached!
% 21.83/3.90 % (3932330)------------------------------
% 21.83/3.90 % (3932330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932330)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932330)Termination reason: Instruction limit
% 21.83/3.90 % (3932330)Termination phase: Saturation
% 21.83/3.90 % (3932330)Time elapsed: 0.725 s
% 21.83/3.90 % (3932330)Peak memory usage: 24 MB
% 21.83/3.90 % (3932330)Instructions burned: 1472 (million)
% 21.83/3.90 % (3932332)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3886914733:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 21.83/3.90 % (3932332)Cannot represent all propositional literals internally
% 21.83/3.90 % (3932332)Refutation not found, incomplete strategy
% 21.83/3.90 % (3932332)------------------------------
% 21.83/3.90 % (3932332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932332)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932332)Termination reason: Refutation not found, incomplete strategy
% 21.83/3.90 % (3932332)Time elapsed: 0.024 s
% 21.83/3.90 % (3932332)Peak memory usage: 11 MB
% 21.83/3.90 % (3932332)Instructions burned: 46 (million)
% 21.83/3.90 % (3932332)------------------------------
% 21.83/3.90 % (3932332)------------------------------
% 21.83/3.90 % (3932334)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2680766315:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 21.83/3.90 % TRYING [16]
% 21.83/3.90 % (3932334)Instruction limit reached!
% 21.83/3.90 % (3932334)------------------------------
% 21.83/3.90 % (3932334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.90 % (3932334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.90 % (3932334)CaDiCaL version: 2.1.3
% 21.83/3.90 % (3932334)Termination reason: Instruction limit
% 21.83/3.90 % (3932334)Termination phase: Finite model building constraint generation
% 21.83/3.90 % (3932334)Time elapsed: 0.780 s
% 21.83/3.90 % (3932334)Peak memory usage: 127 MB
% 21.83/3.90 % (3932334)Instructions burned: 2176 (million)
% 21.83/3.90 % (3932336)ott-2_1_sil=16000:newcnf=on:random_seed=603037489:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 21.83/3.90 % (3932289) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3932283-3932289"...
% 21.83/3.90 % (3932289)...printing done.
% 21.83/3.90 % (3932289)Refutation found. Thanks to Tanya!
% 21.83/3.90 % SZS status Theorem for theBenchmark
% 21.83/3.90 % SZS output start Proof for theBenchmark
% See solution above
% 21.83/3.91 % (3932289)------------------------------
% 21.83/3.91 % (3932289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.83/3.91 % (3932289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.83/3.91 % (3932289)CaDiCaL version: 2.1.3
% 21.83/3.91 % (3932289)Termination reason: Refutation
% 21.83/3.91 % (3932289)Time elapsed: 3.374 s
% 21.83/3.91 % (3932289)Peak memory usage: 57 MB
% 21.83/3.91 % (3932289)Instructions burned: 5683 (million)
% 21.83/3.91 % (3932283)Success in time 3.487 s
% 21.83/3.91 % Vampire exiting
%------------------------------------------------------------------------------