%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM616+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:16:00 PM UTC 2026
% Result : Theorem 9.38s 2.18s
% Output : Refutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 134 ( 25 unt; 5 def)
% Number of atoms : 539 ( 86 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 646 ( 241 ~; 230 |; 138 &)
% ( 14 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 150 ( 0 sgn 140 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f97,axiom,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(f99,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(f101,axiom,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
fof(f103,axiom,
( aElementOf0(xp,xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f107,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) )
& aSubsetOf0(xP,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
fof(f108,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xO) )
& aSubsetOf0(xP,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5208) ).
fof(f111,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f113,conjecture,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
| aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f114,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
| aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[status(cth)],[f113]) ).
fof(f133,plain,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 ) ),
inference(rectify,[],[f97]) ).
fof(f136,plain,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(rectify,[],[f104]) ).
fof(f153,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f154,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f153]) ).
fof(f166,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f178,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f179,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f178]) ).
fof(f182,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f183,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f182]) ).
fof(f243,plain,
! [X0] :
( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f244,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f245,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f244]) ).
fof(f259,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f263,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 )
| ( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X1) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f133]) ).
fof(f265,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f268,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f270,plain,
( aElementOf0(xp,xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& xp = szmzizndt0(xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f271,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(ennf_transformation,[],[f136]) ).
fof(f272,plain,
( ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) )
& aSubsetOf0(xP,xQ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f273,plain,
( ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xP) )
& aSubsetOf0(xP,xO) ),
inference(ennf_transformation,[],[f108]) ).
fof(f274,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aElementOf0(X0,xP) )
& ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(ennf_transformation,[],[f114]) ).
fof(f302,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f154]) ).
fof(f303,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f302]) ).
fof(f304,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f303]) ).
fof(f305,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElement0(sK13(X0,X1,X2))
| ~ aElementOf0(sK13(X0,X1,X2),X0)
| sK13(X0,X1,X2) = X1
| ~ aElementOf0(sK13(X0,X1,X2),X2) )
& ( ( aElement0(sK13(X0,X1,X2))
& aElementOf0(sK13(X0,X1,X2),X0)
& sK13(X0,X1,X2) != X1 )
| aElementOf0(sK13(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1,X2))],[f304]) ).
fof(f409,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(rectify,[],[f263]) ).
fof(f410,plain,
! [X0] :
( ( aElementOf0(sK55(X0),szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK55(X0))
& aElementOf0(sK55(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sK55(X0)) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X1,sK55(X0))],[f409]) ).
fof(f412,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( ( aElementOf0(X1,xP)
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| szmzizndt0(xQ) = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 )
| ~ aElementOf0(X1,xP) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(nnf_transformation,[],[f271]) ).
fof(f413,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( ( aElementOf0(X1,xP)
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| szmzizndt0(xQ) = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 )
| ~ aElementOf0(X1,xP) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(flattening,[],[f412]) ).
fof(f415,plain,
( ~ aElementOf0(sK58,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aElementOf0(sK58,xP)
& ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X0,sK58)],[f274]) ).
fof(f440,plain,
! [X2,X0,X1,X4] :
( X1 != X4
| ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f305]) ).
fof(f459,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f470,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f472,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f634,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f637,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f755,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f756,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f787,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK55(X0)) = X0 ),
inference(cnf_transformation,[],[f410]) ).
fof(f793,plain,
! [X0] :
( aElementOf0(sK55(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f410]) ).
fof(f801,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f265]) ).
fof(f806,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f812,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f270]) ).
fof(f813,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| sdtlseqdt0(xp,X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f815,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f413]) ).
fof(f818,plain,
! [X1] :
( ~ aElementOf0(X1,xP)
| aElement0(X1) ),
inference(cnf_transformation,[],[f413]) ).
fof(f826,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f272]) ).
fof(f828,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f273]) ).
fof(f831,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f832,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f838,plain,
aElementOf0(sK58,xP),
inference(cnf_transformation,[],[f415]) ).
fof(f839,plain,
~ aElementOf0(sK58,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f415]) ).
fof(f853,plain,
! [X2,X0,X4] :
( ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X4) != X2
| ~ aSet0(X0)
| ~ aElement0(X4) ),
inference(equality_resolution,[],[f440]) ).
fof(f854,plain,
! [X0,X4] :
( ~ aElement0(X4)
| ~ aSet0(X0)
| ~ aElementOf0(X4,sdtmndt0(X0,X4)) ),
inference(equality_resolution,[],[f853]) ).
fof(f941,plain,
aElementOf0(sK58,xO),
inference(resolution,[],[f828,f838]) ).
fof(f942,plain,
aElementOf0(sK58,xQ),
inference(resolution,[],[f826,f838]) ).
fof(f943,plain,
aElement0(sK58),
inference(resolution,[],[f818,f838]) ).
fof(f944,plain,
aElementOf0(sK58,szNzAzT0),
inference(resolution,[],[f806,f942]) ).
fof(f986,plain,
sK58 = sdtlpdtrp0(xe,sK55(sK58)),
inference(resolution,[],[f787,f941]) ).
fof(f987,plain,
( aElementOf0(sK58,sdtlpdtrp0(xN,sK55(sK58)))
| ~ aElementOf0(sK55(sK58),szNzAzT0) ),
inference(superposition,[],[f756,f986]) ).
fof(f989,definition,
( spl59_11
<=> aElementOf0(sK55(sK58),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl59_11])],[avatar_definition]) ).
fof(f990,plain,
( ~ aElementOf0(sK55(sK58),szNzAzT0)
| spl59_11 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f992,definition,
( spl59_12
<=> aElementOf0(sK58,sdtlpdtrp0(xN,sK55(sK58))) ),
introduced(definition,[new_symbols(definition,[spl59_12])],[avatar_definition]) ).
fof(f993,plain,
( aElementOf0(sK58,sdtlpdtrp0(xN,sK55(sK58)))
| ~ spl59_12 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f994,plain,
( ~ spl59_11
| spl59_12 ),
inference(avatar_split_clause,[],[f987,f992,f989]) ).
fof(f996,plain,
( ~ aElementOf0(sK58,xO)
| spl59_11 ),
inference(resolution,[],[f990,f793]) ).
fof(f998,plain,
( $false
| spl59_11 ),
inference(forward_subsumption_resolution,[],[f996,f941]) ).
fof(f999,plain,
spl59_11,
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f1013,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f756,f831]) ).
fof(f1014,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(forward_subsumption_resolution,[],[f1013,f832]) ).
fof(f1015,plain,
( aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[],[f1014,f634]) ).
fof(f1016,plain,
aElementOf0(xp,szNzAzT0),
inference(forward_subsumption_resolution,[],[f1015,f832]) ).
fof(f1038,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(resolution,[],[f472,f637]) ).
fof(f1040,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(duplicate_literal_removal,[],[f1038]) ).
fof(f1042,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1)
| aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(forward_subsumption_resolution,[],[f1040,f459]) ).
fof(f1074,plain,
xP = sdtmndt0(xQ,xp),
inference(superposition,[],[f815,f812]) ).
fof(f1107,plain,
( ! [X0] :
( ~ aElementOf0(sK55(sK58),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK55(sK58),X0)
| aElementOf0(sK58,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ spl59_12 ),
inference(resolution,[],[f1042,f993]) ).
fof(f1112,definition,
( spl59_17
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK58,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| sdtlseqdt0(sK55(sK58),X0) ) ),
introduced(definition,[new_symbols(definition,[spl59_17])],[avatar_definition]) ).
fof(f1113,plain,
( ! [X0] :
( aElementOf0(sK58,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sK55(sK58),X0) )
| ~ spl59_17 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1114,plain,
( spl59_17
| ~ spl59_11
| ~ spl59_12 ),
inference(avatar_split_clause,[],[f1107,f992,f989,f1112]) ).
fof(f1164,plain,
sdtlseqdt0(xp,sK58),
inference(resolution,[],[f813,f942]) ).
fof(f1173,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(sK55(sK58),xn)
| ~ spl59_17 ),
inference(resolution,[],[f1113,f839]) ).
fof(f1183,plain,
( sdtlseqdt0(sK55(sK58),xn)
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f1173,f832]) ).
fof(f1192,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| aElementOf0(X0,sdtlpdtrp0(xN,sK55(sK58)))
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(sK55(sK58),szNzAzT0) )
| ~ spl59_17 ),
inference(resolution,[],[f1183,f637]) ).
fof(f1193,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| aElementOf0(X0,sdtlpdtrp0(xN,sK55(sK58)))
| ~ aElementOf0(sK55(sK58),szNzAzT0) )
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f1192,f832]) ).
fof(f1195,definition,
( spl59_23
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| aElementOf0(X0,sdtlpdtrp0(xN,sK55(sK58))) ) ),
introduced(definition,[new_symbols(definition,[spl59_23])],[avatar_definition]) ).
fof(f1196,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,sK55(sK58)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
| ~ spl59_23 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1197,plain,
( ~ spl59_11
| spl59_23
| ~ spl59_17 ),
inference(avatar_split_clause,[],[f1193,f1112,f1195,f989]) ).
fof(f1199,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(sdtlpdtrp0(xe,sK55(sK58)),X0)
| ~ aElementOf0(sK55(sK58),szNzAzT0) )
| ~ spl59_23 ),
inference(resolution,[],[f1196,f755]) ).
fof(f1205,plain,
( ! [X0] :
( sdtlseqdt0(sK58,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(sK55(sK58),szNzAzT0) )
| ~ spl59_23 ),
inference(forward_demodulation,[],[f1199,f986]) ).
fof(f1211,definition,
( spl59_26
<=> ! [X0] :
( sdtlseqdt0(sK58,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
introduced(definition,[new_symbols(definition,[spl59_26])],[avatar_definition]) ).
fof(f1212,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(sK58,X0) )
| ~ spl59_26 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1213,plain,
( ~ spl59_11
| spl59_26
| ~ spl59_23 ),
inference(avatar_split_clause,[],[f1205,f1195,f1211,f989]) ).
fof(f1216,plain,
( sdtlseqdt0(sK58,xp)
| ~ spl59_26 ),
inference(resolution,[],[f1212,f1014]) ).
fof(f1712,plain,
( xp = sK58
| ~ sdtlseqdt0(xp,sK58)
| ~ aElementOf0(sK58,szNzAzT0)
| ~ aElementOf0(xp,szNzAzT0)
| ~ spl59_26 ),
inference(resolution,[],[f470,f1216]) ).
fof(f1715,plain,
( xp = sK58
| ~ aElementOf0(sK58,szNzAzT0)
| ~ aElementOf0(xp,szNzAzT0)
| ~ spl59_26 ),
inference(forward_subsumption_resolution,[],[f1712,f1164]) ).
fof(f1720,plain,
( xp = sK58
| ~ aElementOf0(xp,szNzAzT0)
| ~ spl59_26 ),
inference(forward_subsumption_resolution,[],[f1715,f944]) ).
fof(f1724,plain,
( xp = sK58
| ~ spl59_26 ),
inference(forward_subsumption_resolution,[],[f1720,f1016]) ).
fof(f1846,plain,
! [X0] :
( ~ aElementOf0(sK58,sdtmndt0(X0,sK58))
| ~ aSet0(X0) ),
inference(resolution,[],[f854,f943]) ).
fof(f2179,plain,
( aElementOf0(xp,xP)
| ~ spl59_26 ),
inference(superposition,[],[f838,f1724]) ).
fof(f2207,plain,
( ! [X0] :
( ~ aElementOf0(xp,sdtmndt0(X0,xp))
| ~ aSet0(X0) )
| ~ spl59_26 ),
inference(superposition,[],[f1846,f1724]) ).
fof(f3221,plain,
( ~ aElementOf0(xp,xP)
| ~ aSet0(xQ)
| ~ spl59_26 ),
inference(superposition,[],[f2207,f1074]) ).
fof(f3222,plain,
( ~ aSet0(xQ)
| ~ spl59_26 ),
inference(forward_subsumption_resolution,[],[f3221,f2179]) ).
fof(f3223,plain,
( $false
| ~ spl59_26 ),
inference(forward_subsumption_resolution,[],[f3222,f801]) ).
fof(f3224,plain,
~ spl59_26,
inference(avatar_contradiction_clause,[],[f3223]) ).
cnf(s8,plain,
( ~ spl59_11
| spl59_12 ),
inference(sat_conversion,[],[f994]) ).
cnf(s10,plain,
spl59_11,
inference(sat_conversion,[],[f999]) ).
cnf(s17,plain,
( ~ spl59_11
| ~ spl59_12
| spl59_17 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s21,plain,
( ~ spl59_11
| ~ spl59_17
| spl59_23 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s24,plain,
( ~ spl59_11
| ~ spl59_23
| spl59_26 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s172,plain,
~ spl59_26,
inference(sat_conversion,[],[f3224]) ).
cnf(s177,plain,
( ~ spl59_11
| ~ spl59_23 ),
inference(rat,[],[s24,s172]) ).
cnf(s183,plain,
~ spl59_23,
inference(rat,[],[s177,s10]) ).
cnf(s184,plain,
~ spl59_17,
inference(rat,[],[s21,s183,s10]) ).
cnf(s185,plain,
~ spl59_12,
inference(rat,[],[s17,s184,s10]) ).
cnf(s186,plain,
$false,
inference(rat,[],[s8,s185,s10]) ).
fof(f3225,plain,
$false,
inference(avatar_sat_refutation,[],[s186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM616+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 20:50:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.38/2.18 % (2976491)Detected formulas, will run a generic FOF schedule.
% 9.38/2.18 % (2976502)dis-21_1_sil=8000:lcm=predicate:random_seed=243279066: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)
% 9.38/2.18 % (2976502)Instruction limit reached!
% 9.38/2.18 % (2976502)------------------------------
% 9.38/2.18 % (2976502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976502)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976502)Termination reason: Instruction limit
% 9.38/2.18 % (2976502)Termination phase: Saturation
% 9.38/2.18 % (2976502)Time elapsed: 0.037 s
% 9.38/2.18 % (2976502)Peak memory usage: 90 MB
% 9.38/2.18 % (2976502)Instructions burned: 130 (million)
% 9.38/2.18 % (2976500)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=209606762:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.38/2.18 % (2976498)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=3240221568:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.38/2.18 % (2976499)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=976017371:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.38/2.18 % (2976501)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2944497517:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.38/2.18 % (2976497)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=3256975393:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.38/2.18 % (2976496)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=1714496624:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.38/2.18 % (2976499)Instruction limit reached!
% 9.38/2.18 % (2976499)------------------------------
% 9.38/2.18 % (2976499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976499)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976499)Termination reason: Instruction limit
% 9.38/2.18 % (2976499)Termination phase: Saturation
% 9.38/2.18 % (2976499)Time elapsed: 0.063 s
% 9.38/2.18 % (2976499)Peak memory usage: 90 MB
% 9.38/2.18 % (2976499)Instructions burned: 109 (million)
% 9.38/2.18 % (2976500)Instruction limit reached!
% 9.38/2.18 % (2976500)------------------------------
% 9.38/2.18 % (2976500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976500)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976500)Termination reason: Instruction limit
% 9.38/2.18 % (2976500)Termination phase: Saturation
% 9.38/2.18 % (2976500)Time elapsed: 0.078 s
% 9.38/2.18 % (2976500)Peak memory usage: 89 MB
% 9.38/2.18 % (2976500)Instructions burned: 121 (million)
% 9.38/2.18 % (2976504)lrs+10_1_sil=8000:sp=occurrence:random_seed=1073092952:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.38/2.18 % (2976501)Instruction limit reached!
% 9.38/2.18 % (2976501)------------------------------
% 9.38/2.18 % (2976501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976501)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976501)Termination reason: Instruction limit
% 9.38/2.18 % (2976501)Termination phase: Saturation
% 9.38/2.18 % (2976501)Time elapsed: 0.105 s
% 9.38/2.18 % (2976501)Peak memory usage: 90 MB
% 9.38/2.18 % (2976501)Instructions burned: 140 (million)
% 9.38/2.18 % (2976504)Instruction limit reached!
% 9.38/2.18 % (2976504)------------------------------
% 9.38/2.18 % (2976504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976504)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976504)Termination reason: Instruction limit
% 9.38/2.18 % (2976504)Termination phase: Saturation
% 9.38/2.18 % (2976504)Time elapsed: 0.098 s
% 9.38/2.18 % (2976504)Peak memory usage: 92 MB
% 9.38/2.18 % (2976504)Instructions burned: 286 (million)
% 9.38/2.18 % (2976511)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1696389610:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.38/2.18 % (2976511)Refutation not found, incomplete strategy
% 9.38/2.18 % (2976511)------------------------------
% 9.38/2.18 % (2976511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976511)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976511)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.18 % (2976511)Time elapsed: 0.005 s
% 9.38/2.18 % (2976511)Peak memory usage: 89 MB
% 9.38/2.18 % (2976511)Instructions burned: 6 (million)
% 9.38/2.18 % (2976513)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4033046593:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.38/2.18 % (2976514)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=908438570:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.38/2.18 % (2976515)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3677291058:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.38/2.18 % (2976513)Instruction limit reached!
% 9.38/2.18 % (2976513)------------------------------
% 9.38/2.18 % (2976513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976513)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976513)Termination reason: Instruction limit
% 9.38/2.18 % (2976513)Termination phase: Saturation
% 9.38/2.18 % (2976513)Time elapsed: 0.140 s
% 9.38/2.18 % (2976513)Peak memory usage: 90 MB
% 9.38/2.18 % (2976513)Instructions burned: 327 (million)
% 9.38/2.18 % (2976515)Instruction limit reached!
% 9.38/2.18 % (2976515)------------------------------
% 9.38/2.18 % (2976515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976515)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976515)Termination reason: Instruction limit
% 9.38/2.18 % (2976515)Termination phase: Saturation
% 9.38/2.18 % (2976515)Time elapsed: 0.094 s
% 9.38/2.18 % (2976515)Peak memory usage: 90 MB
% 9.38/2.18 % (2976515)Instructions burned: 295 (million)
% 9.38/2.18 % (2976514)Instruction limit reached!
% 9.38/2.18 % (2976514)------------------------------
% 9.38/2.18 % (2976514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976514)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976514)Termination reason: Instruction limit
% 9.38/2.18 % (2976514)Termination phase: Saturation
% 9.38/2.18 % (2976514)Time elapsed: 0.155 s
% 9.38/2.18 % (2976514)Peak memory usage: 92 MB
% 9.38/2.18 % (2976514)Instructions burned: 249 (million)
% 9.38/2.18 % (2976521)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1181504296:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.38/2.18 % (2976511)------------------------------
% 9.38/2.18 % (2976511)------------------------------
% 9.38/2.18 % (2976520)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1889395964:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.38/2.18 % (2976521)Instruction limit reached!
% 9.38/2.18 % (2976521)------------------------------
% 9.38/2.18 % (2976521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976521)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976521)Termination reason: Instruction limit
% 9.38/2.18 % (2976521)Termination phase: Saturation
% 9.38/2.18 % (2976521)Time elapsed: 0.040 s
% 9.38/2.18 % (2976521)Peak memory usage: 91 MB
% 9.38/2.18 % (2976521)Instructions burned: 113 (million)
% 9.38/2.18 % (2976522)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3453443979:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.38/2.18 % (2976526)lrs+10_1_sil=8000:sp=occurrence:random_seed=1243700112:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 9.38/2.18 % (2976524)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2373959900:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.38/2.18 % (2976522)Instruction limit reached!
% 9.38/2.18 % (2976522)------------------------------
% 9.38/2.18 % (2976522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976522)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976522)Termination reason: Instruction limit
% 9.38/2.18 % (2976522)Termination phase: Saturation
% 9.38/2.18 % (2976522)Time elapsed: 0.071 s
% 9.38/2.18 % (2976522)Peak memory usage: 89 MB
% 9.38/2.18 % (2976522)Instructions burned: 129 (million)
% 9.38/2.18 % (2976524)Instruction limit reached!
% 9.38/2.18 % (2976524)------------------------------
% 9.38/2.18 % (2976524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976524)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976524)Termination reason: Instruction limit
% 9.38/2.18 % (2976524)Termination phase: Saturation
% 9.38/2.18 % (2976524)Time elapsed: 0.071 s
% 9.38/2.18 % (2976524)Peak memory usage: 89 MB
% 9.38/2.18 % (2976524)Instructions burned: 114 (million)
% 9.38/2.18 % (2976530)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=523672041:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 9.38/2.18 % (2976531)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3381743748:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.38/2.18 % (2976526)Instruction limit reached!
% 9.38/2.18 % (2976526)------------------------------
% 9.38/2.18 % (2976526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976526)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976526)Termination reason: Instruction limit
% 9.38/2.18 % (2976526)Termination phase: Saturation
% 9.38/2.18 % (2976526)Time elapsed: 0.298 s
% 9.38/2.18 % (2976526)Peak memory usage: 99 MB
% 9.38/2.18 % (2976526)Instructions burned: 907 (million)
% 9.38/2.18 % (2976497)First to succeed.
% 9.38/2.18 % (2976497)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2976491"
% 9.38/2.18 % (2976534)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3153553877:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.38/2.18 % (2976534)Instruction limit reached!
% 9.38/2.18 % (2976534)------------------------------
% 9.38/2.18 % (2976534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976534)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976534)Termination reason: Instruction limit
% 9.38/2.18 % (2976534)Termination phase: Saturation
% 9.38/2.18 % (2976534)Time elapsed: 0.044 s
% 9.38/2.18 % (2976534)Peak memory usage: 91 MB
% 9.38/2.18 % (2976534)Instructions burned: 135 (million)
% 9.38/2.18 % (2976530)Instruction limit reached!
% 9.38/2.18 % (2976530)------------------------------
% 9.38/2.18 % (2976530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.18 % (2976530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.18 % (2976530)CaDiCaL version: 2.1.3
% 9.38/2.18 % (2976530)Termination reason: Instruction limit
% 9.38/2.18 % (2976530)Termination phase: Saturation
% 9.38/2.18 % (2976530)Time elapsed: 0.280 s
% 9.38/2.18 % (2976530)Peak memory usage: 93 MB
% 9.38/2.18 % (2976530)Instructions burned: 437 (million)
% 9.38/2.18 % (2976536)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2813950404:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.38/2.18 % (2976537)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1486551908:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 9.38/2.18 % (2976497)Refutation found. Thanks to Tanya!
% 9.38/2.18 % SZS status Theorem for theBenchmark
% 9.38/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 10.00/2.37 % (2976497)------------------------------
% 10.00/2.37 % (2976497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.00/2.37 % (2976497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/2.37 % (2976497)CaDiCaL version: 2.1.3
% 10.00/2.37 % (2976497)Termination reason: Refutation
% 10.00/2.37 % (2976497)Time elapsed: 0.919 s
% 10.00/2.37 % (2976497)Peak memory usage: 135 MB
% 10.00/2.37 % (2976497)Instructions burned: 1368 (million)
% 10.00/2.37 % (2976497)------------------------------
% 10.00/2.37 % (2976497)------------------------------
% 10.00/2.37 % (2976491)Success in time 1.339 s
% 10.00/2.37 % Vampire exiting
%------------------------------------------------------------------------------