%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT386+4 : 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 : n008.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 11:48:46 AM UTC 2026
% Result : Theorem 8.51s 1.85s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 153 ( 16 unt; 8 def)
% Number of atoms : 678 ( 24 equ)
% Maximal formula atoms : 37 ( 4 avg)
% Number of connectives : 826 ( 301 ~; 294 |; 173 &)
% ( 8 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 9 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 140 ( 0 sgn 121 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTrans) ).
fof(f19,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szRzazndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mRanSort) ).
fof(f21,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgSort) ).
fof(f24,axiom,
( aSet0(xU)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) ) )
| aSubsetOf0(X0,xU) )
=> ? [X1] :
( aElementOf0(X1,xU)
& aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aLowerBoundOfIn0(X1,X0,xU)
& ! [X2] :
( ( ( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) ) )
| aLowerBoundOfIn0(X2,X0,xU) )
=> sdtlseqdt0(X2,X1) )
& aInfimumOfIn0(X1,X0,xU)
& ? [X2] :
( aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X3,X2) )
& aUpperBoundOfIn0(X2,X0,xU)
& ! [X3] :
( ( ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X0)
=> sdtlseqdt0(X4,X3) ) )
| aUpperBoundOfIn0(X3,X0,xU) )
=> sdtlseqdt0(X2,X3) )
& aSupremumOfIn0(X2,X0,xU) ) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X0,X1] :
( ( aElementOf0(X0,szDzozmdt0(xf))
& aElementOf0(X1,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1123) ).
fof(f25,axiom,
( aSet0(xS)
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ( aElementOf0(X0,szDzozmdt0(xf))
& sdtlpdtrp0(xf,X0) = X0
& aFixedPointOf0(X0,xf) ) )
& ( ( ( aElementOf0(X0,szDzozmdt0(xf))
& sdtlpdtrp0(xf,X0) = X0 )
| aFixedPointOf0(X0,xf) )
=> aElementOf0(X0,xS) ) )
& xS = cS1142(xf) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1144) ).
fof(f26,axiom,
( aSet0(xT)
& ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xT,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1173) ).
fof(f27,axiom,
( aSet0(xP)
& ! [X0] :
( ( aElementOf0(X0,xP)
=> ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aUpperBoundOfIn0(X0,xT,xU) ) )
& ( ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
| aUpperBoundOfIn0(X0,xT,xU) ) )
=> aElementOf0(X0,xP) ) )
& xP = cS1241(xU,xf,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1244) ).
fof(f28,axiom,
( aElementOf0(xp,xU)
& aElementOf0(xp,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(xp,X0) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X0] :
( ( ( aElementOf0(X0,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) ) )
| aLowerBoundOfIn0(X0,xP,xU) )
=> sdtlseqdt0(X0,xp) )
& aInfimumOfIn0(xp,xP,xU) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1261) ).
fof(f29,conjecture,
( ( ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
| aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
& ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
| aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f30,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
| aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
& ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
| aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
( aSet0(xU)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) ) )
| aSubsetOf0(X0,xU) )
=> ? [X2] :
( aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,X0,xU)
& ! [X4] :
( ( ( aElementOf0(X4,xU)
& ! [X5] :
( aElementOf0(X5,X0)
=> sdtlseqdt0(X4,X5) ) )
| aLowerBoundOfIn0(X4,X0,xU) )
=> sdtlseqdt0(X4,X2) )
& aInfimumOfIn0(X2,X0,xU)
& ? [X6] :
( aElementOf0(X6,xU)
& aElementOf0(X6,xU)
& ! [X7] :
( aElementOf0(X7,X0)
=> sdtlseqdt0(X7,X6) )
& aUpperBoundOfIn0(X6,X0,xU)
& ! [X8] :
( ( ( aElementOf0(X8,xU)
& ! [X9] :
( aElementOf0(X9,X0)
=> sdtlseqdt0(X9,X8) ) )
| aUpperBoundOfIn0(X8,X0,xU) )
=> sdtlseqdt0(X6,X8) )
& aSupremumOfIn0(X6,X0,xU) ) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X10,X11] :
( ( aElementOf0(X10,szDzozmdt0(xf))
& aElementOf0(X11,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X10,X11)
=> sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(rectify,[],[f24]) ).
fof(f32,plain,
( aSet0(xP)
& ! [X0] :
( ( aElementOf0(X0,xP)
=> ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aUpperBoundOfIn0(X0,xT,xU) ) )
& ( ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ( ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X0) )
| aUpperBoundOfIn0(X0,xT,xU) ) )
=> aElementOf0(X0,xP) ) )
& xP = cS1241(xU,xf,xT) ),
inference(rectify,[],[f27]) ).
fof(f33,plain,
( aElementOf0(xp,xU)
& aElementOf0(xp,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(xp,X0) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X1] :
( ( ( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) ) )
| aLowerBoundOfIn0(X1,xP,xU) )
=> sdtlseqdt0(X1,xp) )
& aInfimumOfIn0(xp,xP,xU) ),
inference(rectify,[],[f28]) ).
fof(f34,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
| aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
& ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) )
| aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ) ),
inference(rectify,[],[f30]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f46,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f46]) ).
fof(f59,plain,
! [X0] :
( aSet0(szRzazndt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f66,plain,
( aSet0(xU)
& ! [X0] :
( ? [X2] :
( aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,X0) )
& aLowerBoundOfIn0(X2,X0,xU)
& ! [X4] :
( sdtlseqdt0(X4,X2)
| ( ( ~ aElementOf0(X4,xU)
| ? [X5] :
( ~ sdtlseqdt0(X4,X5)
& aElementOf0(X5,X0) ) )
& ~ aLowerBoundOfIn0(X4,X0,xU) ) )
& aInfimumOfIn0(X2,X0,xU)
& ? [X6] :
( aElementOf0(X6,xU)
& aElementOf0(X6,xU)
& ! [X7] :
( sdtlseqdt0(X7,X6)
| ~ aElementOf0(X7,X0) )
& aUpperBoundOfIn0(X6,X0,xU)
& ! [X8] :
( sdtlseqdt0(X6,X8)
| ( ( ~ aElementOf0(X8,xU)
| ? [X9] :
( ~ sdtlseqdt0(X9,X8)
& aElementOf0(X9,X0) ) )
& ~ aUpperBoundOfIn0(X8,X0,xU) ) )
& aSupremumOfIn0(X6,X0,xU) ) )
| ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xU) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X10,X11] :
( sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11))
| ~ sdtlseqdt0(X10,X11)
| ~ aElementOf0(X10,szDzozmdt0(xf))
| ~ aElementOf0(X11,szDzozmdt0(xf)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(ennf_transformation,[],[f31]) ).
fof(f67,plain,
( aSet0(xU)
& ! [X0] :
( ? [X2] :
( aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,X0) )
& aLowerBoundOfIn0(X2,X0,xU)
& ! [X4] :
( sdtlseqdt0(X4,X2)
| ( ( ~ aElementOf0(X4,xU)
| ? [X5] :
( ~ sdtlseqdt0(X4,X5)
& aElementOf0(X5,X0) ) )
& ~ aLowerBoundOfIn0(X4,X0,xU) ) )
& aInfimumOfIn0(X2,X0,xU)
& ? [X6] :
( aElementOf0(X6,xU)
& aElementOf0(X6,xU)
& ! [X7] :
( sdtlseqdt0(X7,X6)
| ~ aElementOf0(X7,X0) )
& aUpperBoundOfIn0(X6,X0,xU)
& ! [X8] :
( sdtlseqdt0(X6,X8)
| ( ( ~ aElementOf0(X8,xU)
| ? [X9] :
( ~ sdtlseqdt0(X9,X8)
& aElementOf0(X9,X0) ) )
& ~ aUpperBoundOfIn0(X8,X0,xU) ) )
& aSupremumOfIn0(X6,X0,xU) ) )
| ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xU) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X10,X11] :
( sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11))
| ~ sdtlseqdt0(X10,X11)
| ~ aElementOf0(X10,szDzozmdt0(xf))
| ~ aElementOf0(X11,szDzozmdt0(xf)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
( aSet0(xS)
& ! [X0] :
( ( ( aElementOf0(X0,szDzozmdt0(xf))
& sdtlpdtrp0(xf,X0) = X0
& aFixedPointOf0(X0,xf) )
| ~ aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
| ( ( ~ aElementOf0(X0,szDzozmdt0(xf))
| sdtlpdtrp0(xf,X0) != X0 )
& ~ aFixedPointOf0(X0,xf) ) ) )
& xS = cS1142(xf) ),
inference(ennf_transformation,[],[f25]) ).
fof(f69,plain,
( aSet0(xT)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) )
& aSubsetOf0(xT,xS) ),
inference(ennf_transformation,[],[f26]) ).
fof(f70,plain,
( aSet0(xP)
& ! [X0] :
( ( ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(X0,xT,xU) )
| ~ aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ? [X2] :
( ~ sdtlseqdt0(X2,X0)
& aElementOf0(X2,xT) )
& ~ aUpperBoundOfIn0(X0,xT,xU) ) ) )
& xP = cS1241(xU,xf,xT) ),
inference(ennf_transformation,[],[f32]) ).
fof(f71,plain,
( aSet0(xP)
& ! [X0] :
( ( ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(X0,xT,xU) )
| ~ aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ? [X2] :
( ~ sdtlseqdt0(X2,X0)
& aElementOf0(X2,xT) )
& ~ aUpperBoundOfIn0(X0,xT,xU) ) ) )
& xP = cS1241(xU,xf,xT) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
( aElementOf0(xp,xU)
& aElementOf0(xp,xU)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xP) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X1] :
( sdtlseqdt0(X1,xp)
| ( ( ~ aElementOf0(X1,xU)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,xP) ) )
& ~ aLowerBoundOfIn0(X1,xP,xU) ) )
& aInfimumOfIn0(xp,xP,xU) ),
inference(ennf_transformation,[],[f33]) ).
fof(f73,plain,
( ( ? [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0)
& aElementOf0(X0,xP) )
& ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
| ( ? [X1] :
( ~ sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))
& aElementOf0(X1,xT) )
& ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f74,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f83,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f108,plain,
! [X0] :
( aSet0(szRzazndt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f112,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f169,plain,
! [X10,X11] :
( ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf))
| ~ sdtlseqdt0(X10,X11)
| sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f171,plain,
xU = szRzazndt0(xf),
inference(cnf_transformation,[],[f67]) ).
fof(f172,plain,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(cnf_transformation,[],[f67]) ).
fof(f174,plain,
aFunction0(xf),
inference(cnf_transformation,[],[f67]) ).
fof(f176,plain,
aSet0(xU),
inference(cnf_transformation,[],[f67]) ).
fof(f179,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlpdtrp0(xf,X0) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f180,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f184,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f69]) ).
fof(f187,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f71]) ).
fof(f191,plain,
! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f71]) ).
fof(f192,plain,
! [X0] :
( aElementOf0(X0,xU)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f71]) ).
fof(f196,plain,
! [X1] :
( aElementOf0(sK16(X1),xP)
| ~ aElementOf0(X1,xU)
| sdtlseqdt0(X1,xp) ),
inference(cnf_transformation,[],[f72]) ).
fof(f197,plain,
! [X1] :
( sdtlseqdt0(X1,xp)
| ~ aElementOf0(X1,xU)
| ~ sdtlseqdt0(X1,sK16(X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f199,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f72]) ).
fof(f202,plain,
aElementOf0(xp,xU),
inference(cnf_transformation,[],[f72]) ).
fof(f206,plain,
( ~ sdtlseqdt0(sK17,sdtlpdtrp0(xf,xp))
| aElementOf0(sK18,xP) ),
inference(cnf_transformation,[],[f73]) ).
fof(f207,plain,
( ~ sdtlseqdt0(sK17,sdtlpdtrp0(xf,xp))
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK18) ),
inference(cnf_transformation,[],[f73]) ).
fof(f208,plain,
( aElementOf0(sK17,xT)
| aElementOf0(sK18,xP) ),
inference(cnf_transformation,[],[f73]) ).
fof(f209,plain,
( aElementOf0(sK17,xT)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK18) ),
inference(cnf_transformation,[],[f73]) ).
fof(f215,definition,
( spl19_1
<=> aElementOf0(sK18,xP) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f217,plain,
( aElementOf0(sK18,xP)
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f219,definition,
( spl19_2
<=> aElementOf0(sK17,xT) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f220,plain,
( ~ aElementOf0(sK17,xT)
| spl19_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f221,plain,
( aElementOf0(sK17,xT)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,plain,
( spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f208,f219,f215]) ).
fof(f224,definition,
( spl19_3
<=> sdtlseqdt0(sK17,sdtlpdtrp0(xf,xp)) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f225,plain,
( sdtlseqdt0(sK17,sdtlpdtrp0(xf,xp))
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( ~ sdtlseqdt0(sK17,sdtlpdtrp0(xf,xp))
| spl19_3 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,plain,
( spl19_1
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f206,f224,f215]) ).
fof(f234,plain,
xU = szDzozmdt0(xf),
inference(forward_demodulation,[],[f172,f171]) ).
fof(f238,plain,
! [X0] :
( aElementOf0(X0,xU)
| ~ aElementOf0(X0,xS) ),
inference(forward_demodulation,[],[f180,f234]) ).
fof(f256,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| sdtlpdtrp0(xf,X0) = X0 ),
inference(resolution,[],[f179,f184]) ).
fof(f411,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK18)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f209,f220]) ).
fof(f725,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sdtlpdtrp0(xf,xp))
| ~ sdtlseqdt0(X0,sK18)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0)
| ~ aElement0(sK18) )
| spl19_2 ),
inference(resolution,[],[f83,f411]) ).
fof(f900,plain,
! [X10,X11] :
( ~ aElementOf0(X11,xU)
| ~ aElementOf0(X10,szDzozmdt0(xf))
| ~ sdtlseqdt0(X10,X11)
| sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11)) ),
inference(forward_demodulation,[],[f169,f234]) ).
fof(f901,plain,
! [X10,X11] :
( sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11))
| ~ aElementOf0(X11,xU)
| ~ sdtlseqdt0(X10,X11)
| ~ aElementOf0(X10,xU) ),
inference(forward_demodulation,[],[f900,f234]) ).
fof(f933,definition,
( spl19_23
<=> aElementOf0(sK17,xU) ),
introduced(definition,[new_symbols(definition,[spl19_23])],[avatar_definition]) ).
fof(f934,plain,
( aElementOf0(sK17,xU)
| ~ spl19_23 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f935,plain,
( ~ aElementOf0(sK17,xU)
| spl19_23 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f986,plain,
( ~ aElementOf0(sK17,xS)
| spl19_23 ),
inference(resolution,[],[f935,f238]) ).
fof(f1000,plain,
( ~ aElementOf0(sK17,xT)
| spl19_23 ),
inference(resolution,[],[f986,f184]) ).
fof(f1086,definition,
( spl19_26
<=> aElement0(sdtlpdtrp0(xf,xp)) ),
introduced(definition,[new_symbols(definition,[spl19_26])],[avatar_definition]) ).
fof(f1087,plain,
( aElement0(sdtlpdtrp0(xf,xp))
| ~ spl19_26 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1088,plain,
( ~ aElement0(sdtlpdtrp0(xf,xp))
| spl19_26 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1097,plain,
( ! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xf,xp),X0)
| ~ aSet0(X0) )
| spl19_26 ),
inference(resolution,[],[f1088,f74]) ).
fof(f1098,plain,
( ~ aSet0(szRzazndt0(xf))
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aFunction0(xf)
| spl19_26 ),
inference(resolution,[],[f1097,f112]) ).
fof(f1120,plain,
( ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aFunction0(xf)
| spl19_26 ),
inference(forward_subsumption_resolution,[],[f1098,f108]) ).
fof(f1121,plain,
( ~ aElementOf0(xp,szDzozmdt0(xf))
| spl19_26 ),
inference(forward_subsumption_resolution,[],[f1120,f174]) ).
fof(f1122,plain,
( ~ aElementOf0(xp,xU)
| spl19_26 ),
inference(forward_demodulation,[],[f1121,f234]) ).
fof(f1123,plain,
( $false
| spl19_26 ),
inference(forward_subsumption_resolution,[],[f1122,f202]) ).
fof(f1124,plain,
spl19_26,
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1126,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0)
| ~ aElement0(sK18) )
| spl19_2
| ~ spl19_26 ),
inference(forward_subsumption_resolution,[],[f725,f1087]) ).
fof(f1146,definition,
( spl19_29
<=> aElement0(sK18) ),
introduced(definition,[new_symbols(definition,[spl19_29])],[avatar_definition]) ).
fof(f1147,plain,
( aElement0(sK18)
| ~ spl19_29 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1148,plain,
( ~ aElement0(sK18)
| spl19_29 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1150,definition,
( spl19_30
<=> ! [X0] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0)
| ~ sdtlseqdt0(X0,sK18) ) ),
introduced(definition,[new_symbols(definition,[spl19_30])],[avatar_definition]) ).
fof(f1151,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0)
| ~ aElement0(X0)
| ~ sdtlseqdt0(X0,sK18) )
| ~ spl19_30 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1152,plain,
( ~ spl19_29
| spl19_30
| spl19_2
| ~ spl19_26 ),
inference(avatar_split_clause,[],[f1126,f1086,f219,f1150,f1146]) ).
fof(f1153,plain,
( ! [X0] :
( ~ aElementOf0(sK18,X0)
| ~ aSet0(X0) )
| spl19_29 ),
inference(resolution,[],[f1148,f74]) ).
fof(f1191,plain,
( ~ aSet0(xU)
| ~ aElementOf0(sK18,xP)
| spl19_29 ),
inference(resolution,[],[f1153,f192]) ).
fof(f1205,plain,
( ~ aElementOf0(sK18,xP)
| spl19_29 ),
inference(forward_subsumption_resolution,[],[f1191,f176]) ).
fof(f1210,plain,
( $false
| ~ spl19_1
| spl19_29 ),
inference(forward_subsumption_resolution,[],[f1205,f217]) ).
fof(f1211,plain,
( ~ spl19_1
| spl19_29 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1232,plain,
( sK17 = sdtlpdtrp0(xf,sK17)
| ~ spl19_2 ),
inference(resolution,[],[f221,f256]) ).
fof(f1263,plain,
( $false
| ~ spl19_2
| spl19_23 ),
inference(forward_subsumption_resolution,[],[f1000,f221]) ).
fof(f1264,plain,
( ~ spl19_2
| spl19_23 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1307,definition,
( spl19_35
<=> aElementOf0(sK18,xU) ),
introduced(definition,[new_symbols(definition,[spl19_35])],[avatar_definition]) ).
fof(f1308,plain,
( aElementOf0(sK18,xU)
| ~ spl19_35 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1309,plain,
( ~ aElementOf0(sK18,xU)
| spl19_35 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1324,plain,
( ~ aElementOf0(sK18,xP)
| spl19_35 ),
inference(resolution,[],[f1309,f192]) ).
fof(f1426,plain,
( ! [X0] :
( sdtlseqdt0(sK17,sdtlpdtrp0(xf,X0))
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sK17,X0)
| ~ aElementOf0(sK17,xU) )
| ~ spl19_2 ),
inference(superposition,[],[f901,f1232]) ).
fof(f1434,plain,
( ! [X0] :
( sdtlseqdt0(sK17,sdtlpdtrp0(xf,X0))
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sK17,X0) )
| ~ spl19_2
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1426,f934]) ).
fof(f1863,plain,
( ~ aElementOf0(xp,xU)
| ~ sdtlseqdt0(sK17,xp)
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(resolution,[],[f1434,f226]) ).
fof(f1870,plain,
( ~ sdtlseqdt0(sK17,xp)
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1863,f202]) ).
fof(f1874,plain,
( ~ aElementOf0(sK17,xU)
| ~ sdtlseqdt0(sK17,sK16(sK17))
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(resolution,[],[f1870,f197]) ).
fof(f1882,plain,
( ~ sdtlseqdt0(sK17,sK16(sK17))
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1874,f934]) ).
fof(f1957,plain,
( ~ aElementOf0(sK17,xT)
| ~ aElementOf0(sK16(sK17),xP)
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(resolution,[],[f1882,f187]) ).
fof(f1958,plain,
( ~ aElementOf0(sK16(sK17),xP)
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1957,f221]) ).
fof(f1972,plain,
( ~ aElementOf0(sK17,xU)
| sdtlseqdt0(sK17,xp)
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(resolution,[],[f1958,f196]) ).
fof(f1985,plain,
( sdtlseqdt0(sK17,xp)
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1972,f934]) ).
fof(f1986,plain,
( $false
| ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1985,f1870]) ).
fof(f1987,plain,
( ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(avatar_contradiction_clause,[],[f1986]) ).
fof(f1998,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK18)
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f207,f225]) ).
fof(f2015,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sdtlpdtrp0(xf,xp))
| ~ sdtlseqdt0(X0,sK18)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0)
| ~ aElement0(sK18) )
| ~ spl19_3 ),
inference(resolution,[],[f1998,f83]) ).
fof(f2018,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0)
| ~ aElement0(sK18) )
| ~ spl19_3
| ~ spl19_26 ),
inference(forward_subsumption_resolution,[],[f2015,f1087]) ).
fof(f2019,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
| ~ spl19_3
| ~ spl19_26
| ~ spl19_29 ),
inference(forward_subsumption_resolution,[],[f2018,f1147]) ).
fof(f2020,plain,
( $false
| ~ spl19_1
| spl19_35 ),
inference(forward_subsumption_resolution,[],[f1324,f217]) ).
fof(f2021,plain,
( ~ spl19_1
| spl19_35 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
fof(f2070,plain,
( spl19_30
| ~ spl19_3
| ~ spl19_26
| ~ spl19_29 ),
inference(avatar_split_clause,[],[f2019,f1146,f1086,f224,f1150]) ).
fof(f2079,plain,
( ! [X0] :
( ~ aElement0(sdtlpdtrp0(xf,X0))
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),sK18)
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(xp,X0)
| ~ aElementOf0(xp,xU) )
| ~ spl19_30 ),
inference(resolution,[],[f1151,f901]) ).
fof(f2104,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),sK18)
| ~ aElement0(sdtlpdtrp0(xf,X0))
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(xp,X0) )
| ~ spl19_30 ),
inference(forward_subsumption_resolution,[],[f2079,f202]) ).
fof(f5292,plain,
( ~ aElement0(sdtlpdtrp0(xf,sK18))
| ~ aElementOf0(sK18,xU)
| ~ sdtlseqdt0(xp,sK18)
| ~ aElementOf0(sK18,xP)
| ~ spl19_30 ),
inference(resolution,[],[f2104,f191]) ).
fof(f5307,plain,
( ~ aElement0(sdtlpdtrp0(xf,sK18))
| ~ sdtlseqdt0(xp,sK18)
| ~ aElementOf0(sK18,xP)
| ~ spl19_30
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f5292,f1308]) ).
fof(f5308,plain,
( ~ aElement0(sdtlpdtrp0(xf,sK18))
| ~ aElementOf0(sK18,xP)
| ~ spl19_30
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f5307,f199]) ).
fof(f5309,plain,
( ~ aElement0(sdtlpdtrp0(xf,sK18))
| ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f5308,f217]) ).
fof(f5310,plain,
( ! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xf,sK18),X0)
| ~ aSet0(X0) )
| ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(resolution,[],[f5309,f74]) ).
fof(f5558,plain,
( ~ aSet0(szRzazndt0(xf))
| ~ aElementOf0(sK18,szDzozmdt0(xf))
| ~ aFunction0(xf)
| ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(resolution,[],[f5310,f112]) ).
fof(f5585,plain,
( ~ aElementOf0(sK18,szDzozmdt0(xf))
| ~ aFunction0(xf)
| ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f5558,f108]) ).
fof(f5588,plain,
( ~ aElementOf0(sK18,szDzozmdt0(xf))
| ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f5585,f174]) ).
fof(f5589,plain,
( ~ aElementOf0(sK18,xU)
| ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(forward_demodulation,[],[f5588,f234]) ).
fof(f5590,plain,
( $false
| ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f5589,f1308]) ).
fof(f5591,plain,
( ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(avatar_contradiction_clause,[],[f5590]) ).
cnf(s1,plain,
( spl19_1
| spl19_2 ),
inference(sat_conversion,[],[f222]) ).
cnf(s2,plain,
( spl19_1
| ~ spl19_3 ),
inference(sat_conversion,[],[f227]) ).
cnf(s18,plain,
spl19_26,
inference(sat_conversion,[],[f1124]) ).
cnf(s19,plain,
( spl19_2
| ~ spl19_26
| ~ spl19_29
| spl19_30 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s22,plain,
( ~ spl19_1
| spl19_29 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s24,plain,
( ~ spl19_2
| spl19_23 ),
inference(sat_conversion,[],[f1264]) ).
cnf(s34,plain,
( ~ spl19_2
| spl19_3
| ~ spl19_23 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s37,plain,
( ~ spl19_1
| spl19_35 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s38,plain,
( ~ spl19_3
| ~ spl19_26
| ~ spl19_29
| spl19_30 ),
inference(sat_conversion,[],[f2070]) ).
cnf(s56,plain,
( ~ spl19_1
| ~ spl19_30
| ~ spl19_35 ),
inference(sat_conversion,[],[f5591]) ).
cnf(s60,plain,
( ~ spl19_2
| spl19_3 ),
inference(rat,[],[s24,s34]) ).
cnf(s61,plain,
spl19_1,
inference(rat,[],[s60,s1,s2]) ).
cnf(s62,plain,
spl19_35,
inference(rat,[],[s37,s61]) ).
cnf(s64,plain,
spl19_29,
inference(rat,[],[s22,s61]) ).
cnf(s65,plain,
~ spl19_30,
inference(rat,[],[s56,s61,s62]) ).
cnf(s66,plain,
~ spl19_3,
inference(rat,[],[s38,s65,s18,s64]) ).
cnf(s67,plain,
spl19_2,
inference(rat,[],[s19,s65,s18,s64]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s60,s66,s67]) ).
fof(f5592,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT386+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:14:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 8.51/1.85 % (1355995)Will run a generic schedule for satisfiability detection.
% 8.51/1.85 % (1356000)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3053235453_2999 on theBenchmark for (2999ds/0Mi)
% 8.51/1.85 % (1356001)% WARNING: option uhcvi not known.
% 8.51/1.85 % TRYING [1]
% 8.51/1.85 % TRYING [2]
% 8.51/1.85 % TRYING [3]
% 8.51/1.85 % (1356004)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=633252696:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.51/1.85 % (1356001)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=936571820:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.51/1.85 % (1356002)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=98290302:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.51/1.85 % (1356003)dis+10_1_sil=32000:sp=arity:random_seed=4089004928:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.51/1.85 % (1356005)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3787290051:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.51/1.85 % (1356006)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3878718580:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.51/1.85 % TRYING [4]
% 8.51/1.85 % TRYING [5]
% 8.51/1.85 % TRYING [6]
% 8.51/1.85 % TRYING [7]
% 8.51/1.85 % (1356003)Instruction limit reached!
% 8.51/1.85 % (1356003)------------------------------
% 8.51/1.85 % (1356003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356003)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356003)Termination reason: Instruction limit
% 8.51/1.85 % (1356003)Termination phase: Saturation
% 8.51/1.85 % (1356003)Time elapsed: 0.073 s
% 8.51/1.85 % (1356003)Peak memory usage: 13 MB
% 8.51/1.85 % (1356003)Instructions burned: 104 (million)
% 8.51/1.85 % (1356004)Instruction limit reached!
% 8.51/1.85 % (1356004)------------------------------
% 8.51/1.85 % (1356004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356004)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356004)Termination reason: Instruction limit
% 8.51/1.85 % (1356004)Termination phase: Saturation
% 8.51/1.85 % (1356004)Time elapsed: 0.074 s
% 8.51/1.85 % (1356004)Peak memory usage: 13 MB
% 8.51/1.85 % (1356004)Instructions burned: 117 (million)
% 8.51/1.85 % (1356005)Instruction limit reached!
% 8.51/1.85 % (1356005)------------------------------
% 8.51/1.85 % (1356005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356005)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356005)Termination reason: Instruction limit
% 8.51/1.85 % (1356005)Termination phase: Saturation
% 8.51/1.85 % (1356005)Time elapsed: 0.084 s
% 8.51/1.85 % (1356005)Peak memory usage: 14 MB
% 8.51/1.85 % (1356005)Instructions burned: 131 (million)
% 8.51/1.85 % (1356014)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1855581103:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.51/1.85 % (1356015)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1992412556:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.51/1.85 % TRYING [8]
% 8.51/1.85 % TRYING [1]
% 8.51/1.85 % TRYING [2]
% 8.51/1.85 % (1356016)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=1981627586:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.51/1.85 % TRYING [3]
% 8.51/1.85 % (1356006)Instruction limit reached!
% 8.51/1.85 % (1356006)------------------------------
% 8.51/1.85 % (1356006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356006)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356006)Termination reason: Instruction limit
% 8.51/1.85 % (1356006)Termination phase: Saturation
% 8.51/1.85 % (1356006)Time elapsed: 0.110 s
% 8.51/1.85 % (1356006)Peak memory usage: 15 MB
% 8.51/1.85 % (1356006)Instructions burned: 159 (million)
% 8.51/1.85 % (1356020)ott-21_1_sil=16000:fs=off:random_seed=461259933:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.51/1.85 % TRYING [4]
% 8.51/1.85 % TRYING [9]
% 8.51/1.85 % (1356015)Instruction limit reached!
% 8.51/1.85 % (1356015)------------------------------
% 8.51/1.85 % (1356015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356015)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356015)Termination reason: Instruction limit
% 8.51/1.85 % (1356015)Termination phase: Saturation
% 8.51/1.85 % (1356015)Time elapsed: 0.092 s
% 8.51/1.85 % (1356015)Peak memory usage: 14 MB
% 8.51/1.85 % (1356015)Instructions burned: 131 (million)
% 8.51/1.85 % (1356022)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=310682549:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.51/1.85 % (1356020)Instruction limit reached!
% 8.51/1.85 % (1356020)------------------------------
% 8.51/1.85 % (1356020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356020)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356020)Termination reason: Instruction limit
% 8.51/1.85 % (1356020)Termination phase: Saturation
% 8.51/1.85 % (1356020)Time elapsed: 0.101 s
% 8.51/1.85 % (1356020)Peak memory usage: 13 MB
% 8.51/1.85 % (1356020)Instructions burned: 181 (million)
% 8.51/1.85 % (1356024)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=202189164:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.51/1.85 % TRYING [1]
% 8.51/1.85 % TRYING [2]
% 8.51/1.85 % TRYING [3]
% 8.51/1.85 % TRYING [4]
% 8.51/1.85 % TRYING [10]
% 8.51/1.85 % TRYING [5]
% 8.51/1.85 % TRYING [5]
% 8.51/1.85 % TRYING [6]
% 8.51/1.85 % (1356016)Instruction limit reached!
% 8.51/1.85 % (1356016)------------------------------
% 8.51/1.85 % (1356016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356016)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356016)Termination reason: Instruction limit
% 8.51/1.85 % (1356016)Termination phase: Saturation
% 8.51/1.85 % (1356016)Time elapsed: 0.346 s
% 8.51/1.85 % (1356016)Peak memory usage: 17 MB
% 8.51/1.85 % (1356016)Instructions burned: 684 (million)
% 8.51/1.85 % TRYING [11]
% 8.51/1.85 % (1356026)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1073674569:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.51/1.85 % (1356014)Instruction limit reached!
% 8.51/1.85 % (1356014)------------------------------
% 8.51/1.85 % (1356014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356014)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356014)Termination reason: Instruction limit
% 8.51/1.85 % (1356014)Termination phase: Finite model building SAT solving
% 8.51/1.85 % (1356014)Time elapsed: 0.403 s
% 8.51/1.85 % (1356014)Peak memory usage: 19 MB
% 8.51/1.85 % (1356014)Instructions burned: 715 (million)
% 8.51/1.85 % (1356028)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3680968407:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.51/1.85 % (1356022)Instruction limit reached!
% 8.51/1.85 % (1356022)------------------------------
% 8.51/1.85 % (1356022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356022)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356022)Termination reason: Instruction limit
% 8.51/1.85 % (1356022)Termination phase: Saturation
% 8.51/1.85 % (1356022)Time elapsed: 0.338 s
% 8.51/1.85 % (1356022)Peak memory usage: 15 MB
% 8.51/1.85 % (1356022)Instructions burned: 478 (million)
% 8.51/1.85 % (1356030)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=3254409002: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)
% 8.51/1.85 % TRYING [7]
% 8.51/1.85 % (1356024)Instruction limit reached!
% 8.51/1.85 % (1356024)------------------------------
% 8.51/1.85 % (1356024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356024)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356024)Termination reason: Instruction limit
% 8.51/1.85 % (1356024)Termination phase: Finite model building constraint generation
% 8.51/1.85 % (1356024)Time elapsed: 0.352 s
% 8.51/1.85 % (1356024)Peak memory usage: 20 MB
% 8.51/1.85 % (1356024)Instructions burned: 866 (million)
% 8.51/1.85 % TRYING [14]
% 8.51/1.85 % (1356032)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3155233308:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.51/1.85 % TRYING [12]
% 8.51/1.85 % (1356028)Instruction limit reached!
% 8.51/1.85 % (1356028)------------------------------
% 8.51/1.85 % (1356028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356028)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356028)Termination reason: Instruction limit
% 8.51/1.85 % (1356028)Termination phase: Finite model building constraint generation
% 8.51/1.85 % (1356028)Time elapsed: 0.324 s
% 8.51/1.85 % (1356028)Peak memory usage: 75 MB
% 8.51/1.85 % (1356028)Instructions burned: 889 (million)
% 8.51/1.85 % (1356034)fmb+10_1_sil=64000:random_seed=1823761408:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 8.51/1.85 % TRYING [1]
% 8.51/1.85 % TRYING [2]
% 8.51/1.85 % TRYING [3]
% 8.51/1.85 % TRYING [4]
% 8.51/1.85 % (1356030)Instruction limit reached!
% 8.51/1.85 % (1356030)------------------------------
% 8.51/1.85 % (1356030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356030)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356030)Termination reason: Instruction limit
% 8.51/1.85 % (1356030)Termination phase: Saturation
% 8.51/1.85 % (1356030)Time elapsed: 0.372 s
% 8.51/1.85 % (1356030)Peak memory usage: 20 MB
% 8.51/1.85 % (1356030)Instructions burned: 692 (million)
% 8.51/1.85 % TRYING [5]
% 8.51/1.85 % (1356036)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3162758706:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.51/1.85 % TRYING [20]
% 8.51/1.85 % TRYING [6]
% 8.51/1.85 % TRYING [13]
% 8.51/1.85 % (1356032)Instruction limit reached!
% 8.51/1.85 % (1356032)------------------------------
% 8.51/1.85 % (1356032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356032)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356032)Termination reason: Instruction limit
% 8.51/1.85 % (1356032)Termination phase: Saturation
% 8.51/1.85 % (1356032)Time elapsed: 0.508 s
% 8.51/1.85 % (1356032)Peak memory usage: 18 MB
% 8.51/1.85 % (1356032)Instructions burned: 880 (million)
% 8.51/1.85 % (1356038)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4064906932:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 8.51/1.85 % TRYING [8]
% 8.51/1.85 % (1356026)Instruction limit reached!
% 8.51/1.85 % (1356026)------------------------------
% 8.51/1.85 % (1356026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356026)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356026)Termination reason: Instruction limit
% 8.51/1.85 % (1356026)Termination phase: Saturation
% 8.51/1.85 % (1356026)Time elapsed: 0.711 s
% 8.51/1.85 % (1356026)Peak memory usage: 23 MB
% 8.51/1.85 % (1356026)Instructions burned: 1179 (million)
% 8.51/1.85 % TRYING [7]
% 8.51/1.85 % (1356040)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4156921223:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 8.51/1.85 % TRYING [9]
% 8.51/1.85 % (1356040) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1355995-1356040"...
% 8.51/1.85 % (1356040)...printing done.
% 8.51/1.85 % (1356040)Refutation found. Thanks to Tanya!
% 8.51/1.85 % SZS status Theorem for theBenchmark
% 8.51/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 8.51/1.85 % (1356040)------------------------------
% 8.51/1.85 % (1356040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.85 % (1356040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.85 % (1356040)CaDiCaL version: 2.1.3
% 8.51/1.85 % (1356040)Termination reason: Refutation
% 8.51/1.85 % (1356040)Time elapsed: 0.159 s
% 8.51/1.85 % (1356040)Peak memory usage: 14 MB
% 8.51/1.85 % (1356040)Instructions burned: 268 (million)
% 8.51/1.85 % (1355995)Success in time 1.413 s
% 8.51/1.85 % Vampire exiting
%------------------------------------------------------------------------------