%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT387+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:47:34 AM UTC 2026
% Result : Theorem 3.69s 1.44s
% Output : Refutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 30
% Syntax : Number of formulae : 234 ( 28 unt; 17 def)
% Number of atoms : 1065 ( 48 equ)
% Maximal formula atoms : 37 ( 4 avg)
% Number of connectives : 1287 ( 456 ~; 454 |; 299 &)
% ( 16 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 15 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 231 ( 0 sgn 196 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f7,axiom,
! [X0] :
( aElement0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mARefl) ).
fof(f8,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mASymm) ).
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(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(f23,axiom,
! [X0] :
( aFunction0(X0)
=> ( isMonotone0(X0)
<=> ! [X1,X2] :
( ( aElementOf0(X1,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(X0,X1),sdtlpdtrp0(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMonot) ).
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,axiom,
( ! [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__1299) ).
fof(f30,conjecture,
( ( ( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp )
| aFixedPointOf0(xp,xf) )
& ( ( ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X0] :
( ( aElementOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aUpperBoundOfIn0(X0,xT,xS) )
=> sdtlseqdt0(xp,X0) ) )
| aSupremumOfIn0(xp,xT,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f31,negated_conjecture,
~ ( ( ( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp )
| aFixedPointOf0(xp,xf) )
& ( ( ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X0] :
( ( aElementOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aUpperBoundOfIn0(X0,xT,xS) )
=> sdtlseqdt0(xp,X0) ) )
| aSupremumOfIn0(xp,xT,xS) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f32,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(f33,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(f34,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(f35,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,[],[f29]) ).
fof(f36,plain,
~ ( ( ( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp )
| aFixedPointOf0(xp,xf) )
& ( ( ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X1] :
( ( aElementOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xS) )
=> sdtlseqdt0(xp,X1) ) )
| aSupremumOfIn0(xp,xT,xS) ) ),
inference(rectify,[],[f31]) ).
fof(f42,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,[],[f32]) ).
fof(f43,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,[],[f42]) ).
fof(f44,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(f45,plain,
( aSet0(xT)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) )
& aSubsetOf0(xT,xS) ),
inference(ennf_transformation,[],[f26]) ).
fof(f46,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,[],[f33]) ).
fof(f47,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,[],[f46]) ).
fof(f48,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,[],[f34]) ).
fof(f49,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,[],[f35]) ).
fof(f50,plain,
( ( ( ~ aElementOf0(xp,szDzozmdt0(xf))
| xp != sdtlpdtrp0(xf,xp) )
& ~ aFixedPointOf0(xp,xf) )
| ( ( ( ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) )
& ~ aUpperBoundOfIn0(xp,xT,xS) )
| ? [X1] :
( ~ sdtlseqdt0(xp,X1)
& aElementOf0(X1,xS)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS) ) )
& ~ aSupremumOfIn0(xp,xT,xS) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f51,plain,
( ( ( ~ aElementOf0(xp,szDzozmdt0(xf))
| xp != sdtlpdtrp0(xf,xp) )
& ~ aFixedPointOf0(xp,xf) )
| ( ( ( ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) )
& ~ aUpperBoundOfIn0(xp,xT,xS) )
| ? [X1] :
( ~ sdtlseqdt0(xp,X1)
& aElementOf0(X1,xS)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS) ) )
& ~ aSupremumOfIn0(xp,xT,xS) ) ),
inference(flattening,[],[f50]) ).
fof(f57,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f58,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( isMonotone0(X0)
<=> ! [X1,X2] :
( sdtlseqdt0(sdtlpdtrp0(X0,X1),sdtlpdtrp0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f60,plain,
! [X0] :
( ( isMonotone0(X0)
<=> ! [X1,X2] :
( sdtlseqdt0(sdtlpdtrp0(X0,X1),sdtlpdtrp0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(X2,szDzozmdt0(X0)) ) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f72,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f73,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f76,definition,
! [X0] :
( ? [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) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f77,definition,
! [X2,X0] :
( ! [X4] :
( sdtlseqdt0(X4,X2)
| ( ( ~ aElementOf0(X4,xU)
| ? [X5] :
( ~ sdtlseqdt0(X4,X5)
& aElementOf0(X5,X0) ) )
& ~ aLowerBoundOfIn0(X4,X0,xU) ) )
| ~ sP1(X2,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f78,definition,
! [X0] :
( ? [X2] :
( aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,X0) )
& aLowerBoundOfIn0(X2,X0,xU)
& sP1(X2,X0)
& aInfimumOfIn0(X2,X0,xU)
& sP0(X0) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f79,plain,
( aSet0(xU)
& ! [X0] :
( sP2(X0)
| ( ( ~ 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(definition_folding,[],[f43,f78,f77,f76]) ).
fof(f80,definition,
( ? [X1] :
( ~ sdtlseqdt0(xp,X1)
& aElementOf0(X1,xS)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f81,plain,
( ( ( ~ aElementOf0(xp,szDzozmdt0(xf))
| xp != sdtlpdtrp0(xf,xp) )
& ~ aFixedPointOf0(xp,xf) )
| ( ( ( ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) )
& ~ aUpperBoundOfIn0(xp,xT,xS) )
| sP3 )
& ~ aSupremumOfIn0(xp,xT,xS) ) ),
inference(definition_folding,[],[f51,f80]) ).
fof(f91,plain,
( aSet0(xU)
& ! [X0] :
( sP2(X0)
| ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xU) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X2,X3] :
( sdtlseqdt0(sdtlpdtrp0(xf,X2),sdtlpdtrp0(xf,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X2,szDzozmdt0(xf))
| ~ aElementOf0(X3,szDzozmdt0(xf)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(rectify,[],[f79]) ).
fof(f92,plain,
( aSet0(xU)
& ! [X0] :
( sP2(X0)
| ( ( ~ aSet0(X0)
| ( ~ aElementOf0(sK8(X0),xU)
& aElementOf0(sK8(X0),X0) ) )
& ~ aSubsetOf0(X0,xU) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X2,X3] :
( sdtlseqdt0(sdtlpdtrp0(xf,X2),sdtlpdtrp0(xf,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aElementOf0(X2,szDzozmdt0(xf))
| ~ aElementOf0(X3,szDzozmdt0(xf)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f91]) ).
fof(f93,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)
| ( ~ sdtlseqdt0(sK9(X0),X0)
& aElementOf0(sK9(X0),xT)
& ~ aUpperBoundOfIn0(X0,xT,xU) ) ) )
& xP = cS1241(xU,xf,xT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0))],[f47]) ).
fof(f94,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)
| ( ~ sdtlseqdt0(X1,sK10(X1))
& aElementOf0(sK10(X1),xP) ) )
& ~ aLowerBoundOfIn0(X1,xP,xU) ) )
& aInfimumOfIn0(xp,xP,xU) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X1))],[f48]) ).
fof(f95,plain,
( ? [X1] :
( ~ sdtlseqdt0(xp,X1)
& aElementOf0(X1,xS)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS) )
| ~ sP3 ),
inference(nnf_transformation,[],[f80]) ).
fof(f96,plain,
( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aElementOf0(X0,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(X0,xT,xS) )
| ~ sP3 ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
( ( ~ sdtlseqdt0(xp,sK11)
& aElementOf0(sK11,xS)
& ! [X1] :
( sdtlseqdt0(X1,sK11)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(sK11,xT,xS) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f96]) ).
fof(f98,plain,
( ( ( ~ aElementOf0(xp,szDzozmdt0(xf))
| xp != sdtlpdtrp0(xf,xp) )
& ~ aFixedPointOf0(xp,xf) )
| ( ( ( ~ sdtlseqdt0(sK12,xp)
& aElementOf0(sK12,xT)
& ~ aUpperBoundOfIn0(xp,xT,xS) )
| sP3 )
& ~ aSupremumOfIn0(xp,xT,xS) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f81]) ).
fof(f101,plain,
! [X0] :
( ( ( isMonotone0(X0)
| ? [X1,X2] :
( ~ sdtlseqdt0(sdtlpdtrp0(X0,X1),sdtlpdtrp0(X0,X2))
& sdtlseqdt0(X1,X2)
& aElementOf0(X1,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ! [X1,X2] :
( sdtlseqdt0(sdtlpdtrp0(X0,X1),sdtlpdtrp0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isMonotone0(X0) ) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f102,plain,
! [X0] :
( ( ( isMonotone0(X0)
| ? [X1,X2] :
( ~ sdtlseqdt0(sdtlpdtrp0(X0,X1),sdtlpdtrp0(X0,X2))
& sdtlseqdt0(X1,X2)
& aElementOf0(X1,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) ) )
& ( ! [X3,X4] :
( sdtlseqdt0(sdtlpdtrp0(X0,X3),sdtlpdtrp0(X0,X4))
| ~ sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X4,szDzozmdt0(X0)) )
| ~ isMonotone0(X0) ) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ( ( isMonotone0(X0)
| ( ~ sdtlseqdt0(sdtlpdtrp0(X0,sK13(X0)),sdtlpdtrp0(X0,sK14(X0)))
& sdtlseqdt0(sK13(X0),sK14(X0))
& aElementOf0(sK13(X0),szDzozmdt0(X0))
& aElementOf0(sK14(X0),szDzozmdt0(X0)) ) )
& ( ! [X3,X4] :
( sdtlseqdt0(sdtlpdtrp0(X0,X3),sdtlpdtrp0(X0,X4))
| ~ sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X4,szDzozmdt0(X0)) )
| ~ isMonotone0(X0) ) )
| ~ aFunction0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f102]) ).
fof(f146,plain,
xU = szRzazndt0(xf),
inference(cnf_transformation,[],[f92]) ).
fof(f147,plain,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(cnf_transformation,[],[f92]) ).
fof(f148,plain,
isMonotone0(xf),
inference(cnf_transformation,[],[f92]) ).
fof(f150,plain,
aFunction0(xf),
inference(cnf_transformation,[],[f92]) ).
fof(f155,plain,
aSet0(xU),
inference(cnf_transformation,[],[f92]) ).
fof(f160,plain,
! [X0] :
( sdtlpdtrp0(xf,X0) = X0
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f44]) ).
fof(f161,plain,
! [X0] :
( aElementOf0(X0,szDzozmdt0(xf))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f44]) ).
fof(f162,plain,
aSet0(xS),
inference(cnf_transformation,[],[f44]) ).
fof(f164,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f45]) ).
fof(f167,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xP)
| ~ aUpperBoundOfIn0(X0,xT,xU) ),
inference(cnf_transformation,[],[f93]) ).
fof(f168,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xP)
| aElementOf0(sK9(X0),xT) ),
inference(cnf_transformation,[],[f93]) ).
fof(f169,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xP)
| ~ sdtlseqdt0(sK9(X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f171,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f93]) ).
fof(f172,plain,
! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f93]) ).
fof(f173,plain,
! [X0] :
( aElementOf0(X0,xU)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f93]) ).
fof(f176,plain,
! [X1] :
( ~ aLowerBoundOfIn0(X1,xP,xU)
| sdtlseqdt0(X1,xp) ),
inference(cnf_transformation,[],[f94]) ).
fof(f180,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f94]) ).
fof(f181,plain,
aElementOf0(xp,xU),
inference(cnf_transformation,[],[f94]) ).
fof(f183,plain,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
inference(cnf_transformation,[],[f49]) ).
fof(f184,plain,
! [X1] :
( sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))
| ~ aElementOf0(X1,xT) ),
inference(cnf_transformation,[],[f49]) ).
fof(f185,plain,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
inference(cnf_transformation,[],[f49]) ).
fof(f188,plain,
! [X1] :
( sdtlseqdt0(X1,sK11)
| ~ aElementOf0(X1,xT)
| ~ sP3 ),
inference(cnf_transformation,[],[f97]) ).
fof(f189,plain,
( aElementOf0(sK11,xS)
| ~ sP3 ),
inference(cnf_transformation,[],[f97]) ).
fof(f190,plain,
( ~ sdtlseqdt0(xp,sK11)
| ~ sP3 ),
inference(cnf_transformation,[],[f97]) ).
fof(f197,plain,
( ~ aElementOf0(xp,szDzozmdt0(xf))
| xp != sdtlpdtrp0(xf,xp)
| aElementOf0(sK12,xT)
| sP3 ),
inference(cnf_transformation,[],[f98]) ).
fof(f198,plain,
( ~ aElementOf0(xp,szDzozmdt0(xf))
| xp != sdtlpdtrp0(xf,xp)
| ~ sdtlseqdt0(sK12,xp)
| sP3 ),
inference(cnf_transformation,[],[f98]) ).
fof(f204,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f205,plain,
! [X3,X0,X4] :
( sdtlseqdt0(sdtlpdtrp0(X0,X3),sdtlpdtrp0(X0,X4))
| ~ sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X4,szDzozmdt0(X0))
| ~ isMonotone0(X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f210,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f237,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f239,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f240,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f255,definition,
( spl22_3
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f257,plain,
( sP3
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f264,definition,
( spl22_5
<=> aElementOf0(sK12,xT) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f266,plain,
( aElementOf0(sK12,xT)
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f269,definition,
( spl22_6
<=> sdtlseqdt0(sK12,xp) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f271,plain,
( ~ sdtlseqdt0(sK12,xp)
| spl22_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f274,definition,
( spl22_7
<=> xp = sdtlpdtrp0(xf,xp) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f276,plain,
( xp != sdtlpdtrp0(xf,xp)
| spl22_7 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,definition,
( spl22_8
<=> aElementOf0(xp,szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f280,plain,
( ~ aElementOf0(xp,szDzozmdt0(xf))
| spl22_8 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f283,plain,
( spl22_3
| spl22_5
| ~ spl22_7
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f197,f278,f274,f264,f255]) ).
fof(f284,plain,
( spl22_3
| ~ spl22_6
| ~ spl22_7
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f198,f278,f274,f269,f255]) ).
fof(f285,plain,
xU = szDzozmdt0(xf),
inference(forward_demodulation,[],[f147,f146]) ).
fof(f286,plain,
( ~ aElementOf0(xp,xU)
| spl22_8 ),
inference(forward_demodulation,[],[f280,f285]) ).
fof(f287,plain,
( $false
| spl22_8 ),
inference(forward_subsumption_resolution,[],[f286,f181]) ).
fof(f288,plain,
spl22_8,
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f292,definition,
( spl22_9
<=> aElement0(xp) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f293,plain,
( aElement0(xp)
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( ~ aElement0(xp)
| spl22_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f308,plain,
( aElement0(xp)
| ~ aSet0(xU) ),
inference(resolution,[],[f181,f237]) ).
fof(f309,plain,
( ~ aSet0(xU)
| spl22_9 ),
inference(forward_subsumption_resolution,[],[f308,f294]) ).
fof(f310,plain,
( $false
| spl22_9 ),
inference(forward_subsumption_resolution,[],[f309,f155]) ).
fof(f311,plain,
spl22_9,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f318,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,szDzozmdt0(xf))
| ~ aFunction0(xf) ),
inference(superposition,[],[f210,f146]) ).
fof(f319,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(forward_subsumption_resolution,[],[f318,f150]) ).
fof(f322,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[],[f319,f285]) ).
fof(f347,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[],[f164,f237]) ).
fof(f348,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f347,f162]) ).
fof(f351,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElement0(X0)
| ~ aSet0(xU) ),
inference(resolution,[],[f173,f237]) ).
fof(f354,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f351,f155]) ).
fof(f369,plain,
( ~ aElementOf0(sK11,xP)
| ~ sP3 ),
inference(resolution,[],[f180,f190]) ).
fof(f370,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aElement0(X0)
| ~ aElement0(xp) ),
inference(resolution,[],[f180,f204]) ).
fof(f376,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aElement0(xp) ),
inference(forward_subsumption_resolution,[],[f370,f354]) ).
fof(f377,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xp)
| ~ aElementOf0(X0,xP)
| xp = X0 )
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f376,f293]) ).
fof(f395,definition,
( spl22_17
<=> aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
introduced(definition,[new_symbols(definition,[spl22_17])],[avatar_definition]) ).
fof(f396,plain,
( ~ aElementOf0(sdtlpdtrp0(xf,xp),xU)
| spl22_17 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f397,plain,
( aElementOf0(sdtlpdtrp0(xf,xp),xU)
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f410,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElement0(X0)
| ~ aSet0(szDzozmdt0(xf)) ),
inference(resolution,[],[f161,f237]) ).
fof(f412,plain,
! [X0] :
( aElementOf0(X0,xU)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[],[f161,f285]) ).
fof(f414,plain,
! [X0] :
( ~ aSet0(xU)
| ~ aElementOf0(X0,xS)
| aElement0(X0) ),
inference(forward_demodulation,[],[f410,f285]) ).
fof(f416,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f414,f155]) ).
fof(f437,plain,
sdtlseqdt0(sdtlpdtrp0(xf,xp),xp),
inference(resolution,[],[f176,f185]) ).
fof(f493,plain,
( ~ aElementOf0(xp,xP)
| ~ aElementOf0(sdtlpdtrp0(xf,xp),xP)
| xp = sdtlpdtrp0(xf,xp)
| ~ spl22_9 ),
inference(resolution,[],[f172,f377]) ).
fof(f499,plain,
( ~ aElementOf0(xp,xP)
| ~ aElementOf0(sdtlpdtrp0(xf,xp),xP)
| spl22_7
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f493,f276]) ).
fof(f501,definition,
( spl22_22
<=> aElement0(sdtlpdtrp0(xf,xp)) ),
introduced(definition,[new_symbols(definition,[spl22_22])],[avatar_definition]) ).
fof(f502,plain,
( aElement0(sdtlpdtrp0(xf,xp))
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f503,plain,
( ~ aElement0(sdtlpdtrp0(xf,xp))
| spl22_22 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f508,definition,
( spl22_24
<=> aElementOf0(xp,xP) ),
introduced(definition,[new_symbols(definition,[spl22_24])],[avatar_definition]) ).
fof(f509,plain,
( aElementOf0(xp,xP)
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ aElementOf0(xp,xP)
| spl22_24 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f518,definition,
( spl22_26
<=> aElementOf0(sdtlpdtrp0(xf,xp),xP) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f520,plain,
( ~ aElementOf0(sdtlpdtrp0(xf,xp),xP)
| spl22_26 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,plain,
( ~ spl22_26
| ~ spl22_24
| spl22_7
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f499,f292,f274,f508,f518]) ).
fof(f555,plain,
( ~ aElementOf0(sK12,xT)
| ~ aElementOf0(xp,xP)
| spl22_6 ),
inference(resolution,[],[f171,f271]) ).
fof(f637,plain,
! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xf,X0),xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xP)
| ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,X0),xT,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(sdtlpdtrp0(xf,X0),szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf))
| ~ isMonotone0(xf)
| ~ aFunction0(xf) ),
inference(resolution,[],[f167,f205]) ).
fof(f650,plain,
! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xf,X0),xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xP)
| ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,X0),xT,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(sdtlpdtrp0(xf,X0),szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf))
| ~ aFunction0(xf) ),
inference(forward_subsumption_resolution,[],[f637,f148]) ).
fof(f652,plain,
! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xf,X0),xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xP)
| ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,X0),xT,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(sdtlpdtrp0(xf,X0),szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(forward_subsumption_resolution,[],[f650,f150]) ).
fof(f653,plain,
! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(sdtlpdtrp0(xf,X0),xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xP)
| ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,X0),xT,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(forward_demodulation,[],[f652,f285]) ).
fof(f654,plain,
! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xf,X0),xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xP)
| ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,X0),xT,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(duplicate_literal_removal,[],[f653]) ).
fof(f655,plain,
! [X0] :
( ~ aElementOf0(X0,xU)
| ~ aElementOf0(sdtlpdtrp0(xf,X0),xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xP)
| ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,X0),xT,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0) ),
inference(forward_demodulation,[],[f654,f285]) ).
fof(f656,plain,
! [X0] :
( ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,X0),xT,xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xP)
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0) ),
inference(forward_subsumption_resolution,[],[f655,f322]) ).
fof(f665,plain,
! [X0] :
( ~ sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xP)
| aElementOf0(sK9(X0),xT)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[],[f168,f160]) ).
fof(f668,plain,
! [X0] :
( aElementOf0(sK9(X0),xT)
| aElementOf0(X0,xP)
| ~ sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[],[f665,f412]) ).
fof(f685,plain,
! [X0] :
( ~ sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xP)
| ~ sdtlseqdt0(sK9(X0),X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[],[f169,f160]) ).
fof(f688,plain,
! [X0] :
( ~ sdtlseqdt0(sK9(X0),X0)
| aElementOf0(X0,xP)
| ~ sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[],[f685,f412]) ).
fof(f792,plain,
( aElement0(sK11)
| ~ sP3 ),
inference(resolution,[],[f416,f189]) ).
fof(f805,plain,
( ~ aElementOf0(xp,xU)
| aElementOf0(xp,xP)
| ~ sdtlseqdt0(sK9(xp),xp) ),
inference(resolution,[],[f437,f169]) ).
fof(f806,plain,
( ~ aElementOf0(xp,xU)
| aElementOf0(xp,xP)
| aElementOf0(sK9(xp),xT) ),
inference(resolution,[],[f437,f168]) ).
fof(f816,plain,
( aElementOf0(xp,xP)
| aElementOf0(sK9(xp),xT) ),
inference(forward_subsumption_resolution,[],[f806,f181]) ).
fof(f817,plain,
( aElementOf0(xp,xP)
| ~ sdtlseqdt0(sK9(xp),xp) ),
inference(forward_subsumption_resolution,[],[f805,f181]) ).
fof(f819,plain,
( aElementOf0(sK9(xp),xT)
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f816,f510]) ).
fof(f820,plain,
( ~ sdtlseqdt0(sK9(xp),xp)
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f817,f510]) ).
fof(f823,plain,
( aElement0(sK9(xp))
| spl22_24 ),
inference(resolution,[],[f819,f348]) ).
fof(f833,plain,
( ! [X0] :
( ~ sdtlseqdt0(sK9(xp),X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aElement0(sK9(xp))
| ~ aElement0(X0)
| ~ aElement0(xp) )
| spl22_24 ),
inference(resolution,[],[f820,f239]) ).
fof(f834,plain,
( ! [X0] :
( ~ sdtlseqdt0(sK9(xp),X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aElement0(X0)
| ~ aElement0(xp) )
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f833,f823]) ).
fof(f835,plain,
( ! [X0] :
( ~ sdtlseqdt0(sK9(xp),X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aElement0(X0) )
| ~ spl22_9
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f834,f293]) ).
fof(f839,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),xp)
| ~ aElement0(sdtlpdtrp0(xf,xp))
| ~ aElementOf0(sK9(xp),xT)
| ~ spl22_9
| spl22_24 ),
inference(resolution,[],[f835,f184]) ).
fof(f860,plain,
( ~ aElementOf0(xp,xU)
| spl22_17 ),
inference(resolution,[],[f322,f396]) ).
fof(f865,plain,
( $false
| spl22_17 ),
inference(forward_subsumption_resolution,[],[f860,f181]) ).
fof(f866,plain,
spl22_17,
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f920,plain,
( aElement0(sdtlpdtrp0(xf,xp))
| ~ aSet0(xU)
| ~ spl22_17 ),
inference(resolution,[],[f397,f237]) ).
fof(f923,plain,
( ~ aSet0(xU)
| ~ spl22_17
| spl22_22 ),
inference(forward_subsumption_resolution,[],[f920,f503]) ).
fof(f924,plain,
( $false
| ~ spl22_17
| spl22_22 ),
inference(forward_subsumption_resolution,[],[f923,f155]) ).
fof(f925,plain,
( ~ spl22_17
| spl22_22 ),
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f933,plain,
( ~ aElement0(sdtlpdtrp0(xf,xp))
| ~ aElementOf0(sK9(xp),xT)
| ~ spl22_9
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f839,f437]) ).
fof(f940,plain,
( ~ aElementOf0(sK9(xp),xT)
| ~ spl22_9
| ~ spl22_22
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f933,f502]) ).
fof(f950,plain,
( $false
| ~ spl22_9
| ~ spl22_22
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f940,f819]) ).
fof(f951,plain,
( ~ spl22_9
| ~ spl22_22
| spl22_24 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f1384,plain,
( aElementOf0(sK11,xP)
| ~ sdtlseqdt0(sK11,sK11)
| ~ aElementOf0(sK11,xS)
| ~ aElementOf0(sK9(sK11),xT)
| ~ sP3 ),
inference(resolution,[],[f688,f188]) ).
fof(f1947,plain,
( aElementOf0(sdtlpdtrp0(xf,xp),xP)
| ~ aElementOf0(xp,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),xp) ),
inference(resolution,[],[f656,f183]) ).
fof(f1953,plain,
( ~ aElementOf0(xp,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),xp)
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f1947,f520]) ).
fof(f1954,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),xp)
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f1953,f181]) ).
fof(f1955,plain,
( $false
| spl22_26 ),
inference(forward_subsumption_resolution,[],[f1954,f437]) ).
fof(f1956,plain,
spl22_26,
inference(avatar_contradiction_clause,[],[f1955]) ).
fof(f1977,plain,
( ~ aElementOf0(sK11,xP)
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f369,f257]) ).
fof(f1981,plain,
( aElement0(sK11)
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f792,f257]) ).
fof(f1982,plain,
( aElementOf0(sK11,xP)
| ~ sdtlseqdt0(sK11,sK11)
| ~ aElementOf0(sK11,xS)
| ~ aElementOf0(sK9(sK11),xT)
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f1384,f257]) ).
fof(f1994,plain,
( ~ sdtlseqdt0(sK11,sK11)
| ~ aElementOf0(sK11,xS)
| ~ aElementOf0(sK9(sK11),xT)
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f1982,f1977]) ).
fof(f2016,definition,
( spl22_70
<=> aElementOf0(sK9(sK11),xT) ),
introduced(definition,[new_symbols(definition,[spl22_70])],[avatar_definition]) ).
fof(f2017,plain,
( ~ aElementOf0(sK9(sK11),xT)
| spl22_70 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2026,definition,
( spl22_72
<=> aElementOf0(sK11,xS) ),
introduced(definition,[new_symbols(definition,[spl22_72])],[avatar_definition]) ).
fof(f2027,plain,
( aElementOf0(sK11,xS)
| ~ spl22_72 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2028,plain,
( ~ aElementOf0(sK11,xS)
| spl22_72 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2030,definition,
( spl22_73
<=> sdtlseqdt0(sK11,sK11) ),
introduced(definition,[new_symbols(definition,[spl22_73])],[avatar_definition]) ).
fof(f2031,plain,
( sdtlseqdt0(sK11,sK11)
| ~ spl22_73 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2032,plain,
( ~ sdtlseqdt0(sK11,sK11)
| spl22_73 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2033,plain,
( ~ spl22_70
| ~ spl22_72
| ~ spl22_73
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f1994,f255,f2030,f2026,f2016]) ).
fof(f2163,plain,
( ~ sP3
| spl22_72 ),
inference(resolution,[],[f2028,f189]) ).
fof(f2165,plain,
( $false
| ~ spl22_3
| spl22_72 ),
inference(forward_subsumption_resolution,[],[f2163,f257]) ).
fof(f2166,plain,
( ~ spl22_3
| spl22_72 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2173,plain,
( aElementOf0(sK11,xP)
| ~ sdtlseqdt0(sK11,sK11)
| ~ aElementOf0(sK11,xS)
| spl22_70 ),
inference(resolution,[],[f2017,f668]) ).
fof(f2176,plain,
( ~ aElement0(sK11)
| spl22_73 ),
inference(resolution,[],[f2032,f240]) ).
fof(f2181,plain,
( $false
| ~ spl22_3
| spl22_73 ),
inference(forward_subsumption_resolution,[],[f2176,f1981]) ).
fof(f2182,plain,
( ~ spl22_3
| spl22_73 ),
inference(avatar_contradiction_clause,[],[f2181]) ).
fof(f2184,plain,
( ~ sdtlseqdt0(sK11,sK11)
| ~ aElementOf0(sK11,xS)
| ~ spl22_3
| spl22_70 ),
inference(forward_subsumption_resolution,[],[f2173,f1977]) ).
fof(f2185,plain,
( ~ aElementOf0(sK11,xS)
| ~ spl22_3
| spl22_70
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f2184,f2031]) ).
fof(f2186,plain,
( $false
| ~ spl22_3
| spl22_70
| ~ spl22_72
| ~ spl22_73 ),
inference(forward_subsumption_resolution,[],[f2185,f2027]) ).
fof(f2187,plain,
( ~ spl22_3
| spl22_70
| ~ spl22_72
| ~ spl22_73 ),
inference(avatar_contradiction_clause,[],[f2186]) ).
fof(f2188,plain,
( ~ aElementOf0(xp,xP)
| ~ spl22_5
| spl22_6 ),
inference(forward_subsumption_resolution,[],[f555,f266]) ).
fof(f2193,plain,
( $false
| ~ spl22_5
| spl22_6
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f2188,f509]) ).
fof(f2194,plain,
( ~ spl22_5
| spl22_6
| ~ spl22_24 ),
inference(avatar_contradiction_clause,[],[f2193]) ).
cnf(s7,plain,
( spl22_3
| spl22_5
| ~ spl22_7
| ~ spl22_8 ),
inference(sat_conversion,[],[f283]) ).
cnf(s8,plain,
( spl22_3
| ~ spl22_6
| ~ spl22_7
| ~ spl22_8 ),
inference(sat_conversion,[],[f284]) ).
cnf(s9,plain,
spl22_8,
inference(sat_conversion,[],[f288]) ).
cnf(s11,plain,
spl22_9,
inference(sat_conversion,[],[f311]) ).
cnf(s19,plain,
( spl22_7
| ~ spl22_9
| ~ spl22_24
| ~ spl22_26 ),
inference(sat_conversion,[],[f521]) ).
cnf(s28,plain,
spl22_17,
inference(sat_conversion,[],[f866]) ).
cnf(s34,plain,
( ~ spl22_17
| spl22_22 ),
inference(sat_conversion,[],[f925]) ).
cnf(s38,plain,
( ~ spl22_9
| ~ spl22_22
| spl22_24 ),
inference(sat_conversion,[],[f951]) ).
cnf(s61,plain,
spl22_26,
inference(sat_conversion,[],[f1956]) ).
cnf(s65,plain,
( ~ spl22_3
| ~ spl22_70
| ~ spl22_72
| ~ spl22_73 ),
inference(sat_conversion,[],[f2033]) ).
cnf(s73,plain,
( ~ spl22_3
| spl22_72 ),
inference(sat_conversion,[],[f2166]) ).
cnf(s75,plain,
( ~ spl22_3
| spl22_73 ),
inference(sat_conversion,[],[f2182]) ).
cnf(s76,plain,
( ~ spl22_3
| spl22_70
| ~ spl22_72
| ~ spl22_73 ),
inference(sat_conversion,[],[f2187]) ).
cnf(s78,plain,
( ~ spl22_5
| spl22_6
| ~ spl22_24 ),
inference(sat_conversion,[],[f2194]) ).
cnf(s80,plain,
spl22_22,
inference(rat,[],[s34,s28]) ).
cnf(s82,plain,
( spl22_7
| ~ spl22_9
| ~ spl22_24 ),
inference(rat,[],[s19,s61]) ).
cnf(s89,plain,
spl22_24,
inference(rat,[],[s38,s80,s11]) ).
cnf(s92,plain,
spl22_7,
inference(rat,[],[s82,s89,s11]) ).
cnf(s99,plain,
( spl22_3
| ~ spl22_6 ),
inference(rat,[],[s8,s9,s92]) ).
cnf(s100,plain,
( spl22_3
| spl22_5 ),
inference(rat,[],[s7,s9,s92]) ).
cnf(s106,plain,
spl22_3,
inference(rat,[],[s78,s100,s99,s89]) ).
cnf(s107,plain,
spl22_73,
inference(rat,[],[s75,s106]) ).
cnf(s108,plain,
spl22_72,
inference(rat,[],[s73,s106]) ).
cnf(s109,plain,
~ spl22_70,
inference(rat,[],[s65,s107,s108,s106]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s76,s107,s108,s106,s109]) ).
fof(f2195,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT387+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.05/0.36 % CPULimit : 300
% 0.05/0.36 % WCLimit : 300
% 0.05/0.36 % DateTime : Sun Sep 27 15:18:47 UTC 2026
% 0.05/0.36 % CPUTime :
% 0.05/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.40 Running first-order theorem proving
% 0.05/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.69/1.44 % (2765921)Detected formulas, will run a generic FOF schedule.
% 3.69/1.44 % (2765929)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3338872740:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.69/1.44 % (2765929)Instruction limit reached!
% 3.69/1.44 % (2765929)------------------------------
% 3.69/1.44 % (2765929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765929)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765929)Termination reason: Instruction limit
% 3.69/1.44 % (2765929)Termination phase: Saturation
% 3.69/1.44 % (2765929)Time elapsed: 0.042 s
% 3.69/1.44 % (2765929)Peak memory usage: 89 MB
% 3.69/1.44 % (2765929)Instructions burned: 109 (million)
% 3.69/1.44 % (2765931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3489927675:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.69/1.44 % (2765930)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=692426261:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.69/1.44 % (2765927)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4018172991:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.69/1.44 % (2765926)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1092034937:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.69/1.44 % (2765932)dis-21_1_sil=8000:lcm=predicate:random_seed=4003200368:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.69/1.44 % (2765928)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1218981874:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.69/1.44 % (2765930)Instruction limit reached!
% 3.69/1.44 % (2765930)------------------------------
% 3.69/1.44 % (2765930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765930)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765930)Termination reason: Instruction limit
% 3.69/1.44 % (2765930)Termination phase: Saturation
% 3.69/1.44 % (2765930)Time elapsed: 0.076 s
% 3.69/1.44 % (2765930)Peak memory usage: 88 MB
% 3.69/1.44 % (2765930)Instructions burned: 120 (million)
% 3.69/1.44 % (2765932)Instruction limit reached!
% 3.69/1.44 % (2765932)------------------------------
% 3.69/1.44 % (2765932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765932)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765932)Termination reason: Instruction limit
% 3.69/1.44 % (2765932)Termination phase: Saturation
% 3.69/1.44 % (2765932)Time elapsed: 0.076 s
% 3.69/1.44 % (2765932)Peak memory usage: 91 MB
% 3.69/1.44 % (2765932)Instructions burned: 130 (million)
% 3.69/1.44 % (2765940)lrs+10_1_sil=8000:sp=occurrence:random_seed=3735154129:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.69/1.44 % (2765931)Instruction limit reached!
% 3.69/1.44 % (2765931)------------------------------
% 3.69/1.44 % (2765931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765931)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765931)Termination reason: Instruction limit
% 3.69/1.44 % (2765931)Termination phase: Saturation
% 3.69/1.44 % (2765931)Time elapsed: 0.105 s
% 3.69/1.44 % (2765931)Peak memory usage: 90 MB
% 3.69/1.44 % (2765931)Instructions burned: 139 (million)
% 3.69/1.44 % (2765940)Instruction limit reached!
% 3.69/1.44 % (2765940)------------------------------
% 3.69/1.44 % (2765940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765940)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765940)Termination reason: Instruction limit
% 3.69/1.44 % (2765940)Termination phase: Saturation
% 3.69/1.44 % (2765940)Time elapsed: 0.100 s
% 3.69/1.44 % (2765940)Peak memory usage: 92 MB
% 3.69/1.44 % (2765940)Instructions burned: 286 (million)
% 3.69/1.44 % (2765941)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2697359930:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.69/1.44 % (2765942)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3170331166:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.69/1.44 % (2765944)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=287787319:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.69/1.44 % (2765945)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1696030344:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.69/1.44 % (2765941)Instruction limit reached!
% 3.69/1.44 % (2765941)------------------------------
% 3.69/1.44 % (2765941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765941)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765941)Termination reason: Instruction limit
% 3.69/1.44 % (2765941)Termination phase: Saturation
% 3.69/1.44 % (2765941)Time elapsed: 0.061 s
% 3.69/1.44 % (2765941)Peak memory usage: 89 MB
% 3.69/1.44 % (2765941)Instructions burned: 157 (million)
% 3.69/1.44 % (2765945)First to succeed.
% 3.69/1.44 % (2765945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2765921"
% 3.69/1.44 % (2765944)Instruction limit reached!
% 3.69/1.44 % (2765944)------------------------------
% 3.69/1.44 % (2765944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765944)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765944)Termination reason: Instruction limit
% 3.69/1.44 % (2765944)Termination phase: Saturation
% 3.69/1.44 % (2765944)Time elapsed: 0.131 s
% 3.69/1.44 % (2765944)Peak memory usage: 89 MB
% 3.69/1.44 % (2765944)Instructions burned: 250 (million)
% 3.69/1.44 % (2765950)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1092992560:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.69/1.44 % (2765942)Instruction limit reached!
% 3.69/1.44 % (2765942)------------------------------
% 3.69/1.44 % (2765942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.44 % (2765942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.44 % (2765942)CaDiCaL version: 2.1.3
% 3.69/1.44 % (2765942)Termination reason: Instruction limit
% 3.69/1.44 % (2765942)Termination phase: Saturation
% 3.69/1.44 % (2765942)Time elapsed: 0.231 s
% 3.69/1.44 % (2765942)Peak memory usage: 92 MB
% 3.69/1.44 % (2765942)Instructions burned: 326 (million)
% 3.69/1.44 % (2765945)Refutation found. Thanks to Tanya!
% 3.69/1.44 % SZS status Theorem for theBenchmark
% 3.69/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 4.81/1.54 % (2765945)------------------------------
% 4.81/1.54 % (2765945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.54 % (2765945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.54 % (2765945)CaDiCaL version: 2.1.3
% 4.81/1.54 % (2765945)Termination reason: Refutation
% 4.81/1.54 % (2765945)Time elapsed: 0.031 s
% 4.81/1.54 % (2765945)Peak memory usage: 90 MB
% 4.81/1.54 % (2765945)Instructions burned: 90 (million)
% 4.81/1.54 % (2765945)------------------------------
% 4.81/1.54 % (2765945)------------------------------
% 4.81/1.54 % (2765921)Success in time 0.606 s
% 4.81/1.54 % Vampire exiting
%------------------------------------------------------------------------------