%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM543+1 : 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 12:15:40 PM UTC 2026
% Result : Theorem 8.75s 2.13s
% Output : Refutation 9.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 18
% Syntax : Number of formulae : 130 ( 13 unt; 2 def)
% Number of atoms : 576 ( 59 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 761 ( 315 ~; 344 |; 73 &)
% ( 14 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 190 ( 0 sgn 179 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> X0 != szszuzczcdt0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f48,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& isFinite0(X0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f52,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f55,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f56,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f94,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f99,plain,
! [X0] :
( X0 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f100,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f104,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f109,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f111,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f110]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f48]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(flattening,[],[f125]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f133,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f134,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f148]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f126]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(flattening,[],[f171]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( aElementOf0(sK12(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0) )
| aElementOf0(sK12(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f177]) ).
fof(f181,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f189,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f190,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f191,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f192,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f228,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f229,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f231,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f235,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f236,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f240,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f242,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f244,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f259,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f174]) ).
fof(f260,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f174]) ).
fof(f266,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f267,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f272,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f276,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f278,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f279,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f280,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f291,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f260]) ).
fof(f292,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f259]) ).
fof(f293,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f267]) ).
fof(f294,plain,
! [X3,X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f266]) ).
fof(f314,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f190,f279]) ).
fof(f317,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[],[f314,f228]) ).
fof(f323,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f189,f279]) ).
fof(f326,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f323,f228]) ).
fof(f337,plain,
! [X0] :
( aElementOf0(sK5(X0,xS),szNzAzT0)
| ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f326,f191]) ).
fof(f338,plain,
! [X0] :
( aElementOf0(sK5(X0,xS),szNzAzT0)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f337,f317]) ).
fof(f340,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| slcrc0 = xS
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[],[f291,f326]) ).
fof(f341,plain,
( ~ isFinite0(xS)
| slcrc0 = xS
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f340,f279]) ).
fof(f363,plain,
( slcrc0 = xS
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f341,f278]) ).
fof(f365,definition,
( spl13_9
<=> aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f367,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl13_10
<=> slcrc0 = xS ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f370,plain,
( slcrc0 != xS
| spl13_10 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( slcrc0 = xS
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,plain,
( spl13_9
| spl13_10 ),
inference(avatar_split_clause,[],[f363,f369,f365]) ).
fof(f385,plain,
( ! [X0] :
( ~ aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_10 ),
inference(superposition,[],[f280,f371]) ).
fof(f407,plain,
! [X0] :
( aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f276,f272]) ).
fof(f410,plain,
( ! [X0] :
( ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f407,f385]) ).
fof(f413,plain,
( ! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f410,f236]) ).
fof(f415,plain,
( ! [X0] : ~ aElementOf0(X0,szNzAzT0)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f413,f229]) ).
fof(f416,plain,
( $false
| ~ spl13_10 ),
inference(resolution,[],[f415,f229]) ).
fof(f422,plain,
~ spl13_10,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ aElementOf0(szmzazxdt0(X2),szNzAzT0)
| sdtlseqdt0(X0,szmzazxdt0(X2))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2)
| slcrc0 = X2 ),
inference(resolution,[],[f243,f292]) ).
fof(f658,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f244,f294]) ).
fof(f663,plain,
! [X0,X1] :
( aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(duplicate_literal_removal,[],[f658]) ).
fof(f667,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK5(slbdtrb0(X0),X1),szNzAzT0)
| sdtlseqdt0(X0,sK5(slbdtrb0(X0),X1))
| ~ aSet0(X1)
| aSubsetOf0(X1,slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f663,f192]) ).
fof(f669,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(slbdtrb0(X0),X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK5(slbdtrb0(X0),X1))
| ~ aSet0(X1)
| aSubsetOf0(X1,slbdtrb0(X0)) ),
inference(forward_subsumption_resolution,[],[f667,f293]) ).
fof(f671,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| slcrc0 = xS )
| ~ spl13_9 ),
inference(resolution,[],[f614,f367]) ).
fof(f676,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,xS)
| ~ isFinite0(xS)
| slcrc0 = xS )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f671,f279]) ).
fof(f678,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,xS)
| slcrc0 = xS )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f676,f278]) ).
fof(f680,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ spl13_9
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f678,f370]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
| ~ spl13_9
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f680,f326]) ).
fof(f686,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| szszuzczcdt0(X0) = X0
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f240,f242]) ).
fof(f690,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| szszuzczcdt0(X0) = X0
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f694,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f690,f235]) ).
fof(f698,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f694,f231]) ).
fof(f2593,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK5(slbdtrb0(X0),xS))
| ~ aSet0(xS)
| aSubsetOf0(xS,slbdtrb0(X0))
| aSubsetOf0(xS,slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f669,f338]) ).
fof(f2600,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK5(slbdtrb0(X0),xS))
| ~ aSet0(xS)
| aSubsetOf0(xS,slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X0)) ),
inference(duplicate_literal_removal,[],[f2593]) ).
fof(f2604,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK5(slbdtrb0(X0),xS))
| ~ aSet0(xS)
| ~ aSet0(slbdtrb0(X0)) ),
inference(forward_subsumption_resolution,[],[f2600,f280]) ).
fof(f2608,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK5(slbdtrb0(X0),xS))
| ~ aSet0(xS) ),
inference(forward_subsumption_resolution,[],[f2604,f293]) ).
fof(f2610,plain,
! [X0] :
( sdtlseqdt0(X0,sK5(slbdtrb0(X0),xS))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2608,f317]) ).
fof(f2630,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(sK5(slbdtrb0(X0),xS),xS) )
| ~ spl13_9
| spl13_10 ),
inference(resolution,[],[f2610,f682]) ).
fof(f2640,plain,
( ! [X0] :
( ~ aElementOf0(sK5(slbdtrb0(X0),xS),xS)
| sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_9
| spl13_10 ),
inference(duplicate_literal_removal,[],[f2630]) ).
fof(f3153,plain,
( ! [X0] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(xS)
| aSubsetOf0(xS,slbdtrb0(X0))
| ~ aSet0(slbdtrb0(X0)) )
| ~ spl13_9
| spl13_10 ),
inference(resolution,[],[f2640,f191]) ).
fof(f3155,plain,
( ! [X0] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(slbdtrb0(X0)) )
| ~ spl13_9
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f3153,f280]) ).
fof(f3156,plain,
( ! [X0] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(xS) )
| ~ spl13_9
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f3155,f293]) ).
fof(f3157,plain,
( ! [X0] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl13_9
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f3156,f317]) ).
fof(f3158,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl13_9
| spl13_10 ),
inference(resolution,[],[f3157,f698]) ).
fof(f3171,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl13_9
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f3158,f231]) ).
fof(f3173,plain,
( $false
| ~ spl13_9
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f3171,f367]) ).
fof(f3174,plain,
( ~ spl13_9
| spl13_10 ),
inference(avatar_contradiction_clause,[],[f3173]) ).
cnf(s5,plain,
( spl13_9
| spl13_10 ),
inference(sat_conversion,[],[f372]) ).
cnf(s7,plain,
~ spl13_10,
inference(sat_conversion,[],[f422]) ).
cnf(s71,plain,
( ~ spl13_9
| spl13_10 ),
inference(sat_conversion,[],[f3174]) ).
cnf(s78,plain,
~ spl13_9,
inference(rat,[],[s71,s7]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s5,s7,s78]) ).
fof(f3175,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM543+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.38 % Computer : n016.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Sun Sep 27 20:29:48 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 8.75/2.13 % (2965863)Detected formulas, will run a generic FOF schedule.
% 8.75/2.13 % (2965872)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1492733284:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.75/2.13 % (2965872)Instruction limit reached!
% 8.75/2.13 % (2965872)------------------------------
% 8.75/2.13 % (2965872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965872)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965872)Termination reason: Instruction limit
% 8.75/2.13 % (2965872)Termination phase: Saturation
% 8.75/2.13 % (2965872)Time elapsed: 0.036 s
% 8.75/2.13 % (2965872)Peak memory usage: 88 MB
% 8.75/2.13 % (2965872)Instructions burned: 121 (million)
% 8.75/2.13 % (2965873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1301799183:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.75/2.13 % (2965871)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2358514830:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.75/2.13 % (2965869)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=4202257115:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.75/2.13 % (2965868)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=3558899769:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.75/2.13 % (2965870)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=2648595135:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.75/2.13 % (2965871)Refutation not found, incomplete strategy
% 8.75/2.13 % (2965871)------------------------------
% 8.75/2.13 % (2965871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965871)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965871)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.13 % (2965871)Time elapsed: 0.002 s
% 8.75/2.13 % (2965871)Peak memory usage: 88 MB
% 8.75/2.13 % (2965871)Instructions burned: 2 (million)
% 8.75/2.13 % (2965874)dis-21_1_sil=8000:lcm=predicate:random_seed=3386521406: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)
% 8.75/2.13 % (2965874)Instruction limit reached!
% 8.75/2.13 % (2965874)------------------------------
% 8.75/2.13 % (2965874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965874)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965874)Termination reason: Instruction limit
% 8.75/2.13 % (2965874)Termination phase: Saturation
% 8.75/2.13 % (2965874)Time elapsed: 0.058 s
% 8.75/2.13 % (2965874)Peak memory usage: 88 MB
% 8.75/2.13 % (2965874)Instructions burned: 131 (million)
% 8.75/2.13 % (2965877)lrs+10_1_sil=8000:sp=occurrence:random_seed=4085182266:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.75/2.13 % (2965873)Instruction limit reached!
% 8.75/2.13 % (2965873)------------------------------
% 8.75/2.13 % (2965873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965873)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965873)Termination reason: Instruction limit
% 8.75/2.13 % (2965873)Termination phase: Saturation
% 8.75/2.13 % (2965873)Time elapsed: 0.103 s
% 8.75/2.13 % (2965873)Peak memory usage: 90 MB
% 8.75/2.13 % (2965873)Instructions burned: 140 (million)
% 8.75/2.13 % (2965877)Instruction limit reached!
% 8.75/2.13 % (2965877)------------------------------
% 8.75/2.13 % (2965877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965877)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965877)Termination reason: Instruction limit
% 8.75/2.13 % (2965877)Termination phase: Saturation
% 8.75/2.13 % (2965877)Time elapsed: 0.094 s
% 8.75/2.13 % (2965877)Peak memory usage: 91 MB
% 8.75/2.13 % (2965877)Instructions burned: 288 (million)
% 8.75/2.13 % (2965883)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2836997837:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.75/2.13 % (2965883)Refutation not found, incomplete strategy
% 8.75/2.13 % (2965883)------------------------------
% 8.75/2.13 % (2965883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965883)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965883)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.13 % (2965883)Time elapsed: 0.003 s
% 8.75/2.13 % (2965883)Peak memory usage: 89 MB
% 8.75/2.13 % (2965883)Instructions burned: 3 (million)
% 8.75/2.13 % (2965885)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1201295369:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.75/2.13 % (2965871)------------------------------
% 8.75/2.13 % (2965871)------------------------------
% 8.75/2.13 % (2965886)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=2321007797:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.75/2.13 % (2965886)Instruction limit reached!
% 8.75/2.13 % (2965886)------------------------------
% 8.75/2.13 % (2965886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965886)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965886)Termination reason: Instruction limit
% 8.75/2.13 % (2965886)Termination phase: Saturation
% 8.75/2.13 % (2965886)Time elapsed: 0.083 s
% 8.75/2.13 % (2965886)Peak memory usage: 92 MB
% 8.75/2.13 % (2965886)Instructions burned: 250 (million)
% 8.75/2.13 % (2965889)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2528258771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.75/2.13 % (2965891)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=561775277:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.75/2.13 % (2965883)------------------------------
% 8.75/2.13 % (2965883)------------------------------
% 8.75/2.13 % (2965885)Instruction limit reached!
% 8.75/2.13 % (2965885)------------------------------
% 8.75/2.13 % (2965885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965885)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965885)Termination reason: Instruction limit
% 8.75/2.13 % (2965885)Termination phase: Saturation
% 8.75/2.13 % (2965885)Time elapsed: 0.222 s
% 8.75/2.13 % (2965885)Peak memory usage: 91 MB
% 8.75/2.13 % (2965885)Instructions burned: 326 (million)
% 8.75/2.13 % (2965889)Instruction limit reached!
% 8.75/2.13 % (2965889)------------------------------
% 8.75/2.13 % (2965889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965889)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965889)Termination reason: Instruction limit
% 8.75/2.13 % (2965889)Termination phase: Saturation
% 8.75/2.13 % (2965889)Time elapsed: 0.159 s
% 8.75/2.13 % (2965889)Peak memory usage: 89 MB
% 8.75/2.13 % (2965889)Instructions burned: 294 (million)
% 8.75/2.13 % (2965895)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=197474943:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.75/2.13 % (2965894)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3525258405:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.75/2.13 % (2965895)Instruction limit reached!
% 8.75/2.13 % (2965895)------------------------------
% 8.75/2.13 % (2965895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965895)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965895)Termination reason: Instruction limit
% 8.75/2.13 % (2965895)Termination phase: Saturation
% 8.75/2.13 % (2965895)Time elapsed: 0.067 s
% 8.75/2.13 % (2965895)Peak memory usage: 88 MB
% 8.75/2.13 % (2965895)Instructions burned: 128 (million)
% 8.75/2.13 % (2965894)Instruction limit reached!
% 8.75/2.13 % (2965894)------------------------------
% 8.75/2.13 % (2965894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965894)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965894)Termination reason: Instruction limit
% 8.75/2.13 % (2965894)Termination phase: Saturation
% 8.75/2.13 % (2965894)Time elapsed: 0.080 s
% 8.75/2.13 % (2965894)Peak memory usage: 90 MB
% 8.75/2.13 % (2965894)Instructions burned: 113 (million)
% 8.75/2.13 % (2965896)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3879966463:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.75/2.13 % (2965896)Instruction limit reached!
% 8.75/2.13 % (2965896)------------------------------
% 8.75/2.13 % (2965896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965896)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965896)Termination reason: Instruction limit
% 8.75/2.13 % (2965896)Termination phase: Saturation
% 8.75/2.13 % (2965896)Time elapsed: 0.071 s
% 8.75/2.13 % (2965896)Peak memory usage: 89 MB
% 8.75/2.13 % (2965896)Instructions burned: 114 (million)
% 8.75/2.13 % (2965899)lrs+10_1_sil=8000:sp=occurrence:random_seed=3296374121:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.75/2.13 % (2965900)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3497055521:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.75/2.13 % (2965868)First to succeed.
% 8.75/2.13 % (2965868)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2965863"
% 8.75/2.13 % (2965891)Also succeeded, but the first one will report.
% 8.75/2.13 % (2965902)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3337296300:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.75/2.13 % (2965900)Instruction limit reached!
% 8.75/2.13 % (2965900)------------------------------
% 8.75/2.13 % (2965900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.13 % (2965900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.13 % (2965900)CaDiCaL version: 2.1.3
% 8.75/2.13 % (2965900)Termination reason: Instruction limit
% 8.75/2.13 % (2965900)Termination phase: Saturation
% 8.75/2.13 % (2965900)Time elapsed: 0.195 s
% 8.75/2.13 % (2965900)Peak memory usage: 89 MB
% 8.75/2.13 % (2965900)Instructions burned: 440 (million)
% 8.75/2.13 % (2965907)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2086318156:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 8.75/2.13 % (2965906)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2543712293:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.75/2.13 % (2965868)Refutation found. Thanks to Tanya!
% 8.75/2.13 % SZS status Theorem for theBenchmark
% 8.75/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.54/2.22 % (2965868)------------------------------
% 9.54/2.22 % (2965868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.22 % (2965868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.22 % (2965868)CaDiCaL version: 2.1.3
% 9.54/2.22 % (2965868)Termination reason: Refutation
% 9.54/2.22 % (2965868)Time elapsed: 0.864 s
% 9.54/2.22 % (2965868)Peak memory usage: 131 MB
% 9.54/2.22 % (2965868)Instructions burned: 1272 (million)
% 9.54/2.22 % (2965868)------------------------------
% 9.54/2.22 % (2965868)------------------------------
% 9.54/2.22 % (2965863)Success in time 1.277 s
% 9.54/2.22 % Vampire exiting
%------------------------------------------------------------------------------