%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM544+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:45 PM UTC 2026
% Result : Theorem 12.08s 5.84s
% Output : Refutation 12.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of formulae : 92 ( 19 unt; 3 def)
% Number of atoms : 390 ( 54 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 493 ( 195 ~; 211 |; 66 &)
% ( 12 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 123 ( 114 !; 9 ?)
% 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(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
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(f55,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f56,conjecture,
( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
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(f102,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f102]) ).
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(f135,plain,
( ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& xS != slcrc0 ),
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(f163,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f103]) ).
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(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(f231,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f238,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f163]) ).
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(f278,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f279,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f280,plain,
slcrc0 != xS,
inference(cnf_transformation,[],[f135]) ).
fof(f281,plain,
~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(cnf_transformation,[],[f135]) ).
fof(f292,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f260]) ).
fof(f293,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f259]) ).
fof(f294,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f267]) ).
fof(f295,plain,
! [X3,X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f266]) ).
fof(f299,definition,
sF13 = szmzazxdt0(xS),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f300,plain,
szmzazxdt0(xS) = sF13,
inference(reorient_equations,[],[f299]) ).
fof(f301,definition,
sF14 = szszuzczcdt0(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f302,plain,
szszuzczcdt0(sF13) = sF14,
inference(reorient_equations,[],[f301]) ).
fof(f303,definition,
sF15 = slbdtrb0(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f304,plain,
slbdtrb0(sF14) = sF15,
inference(reorient_equations,[],[f303]) ).
fof(f305,plain,
~ aSubsetOf0(xS,sF15),
inference(definition_folding,[],[f281,f304,f302,f300]) ).
fof(f319,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f190,f279]) ).
fof(f322,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[],[f319,f228]) ).
fof(f324,plain,
! [X0] :
( aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f231,f294]) ).
fof(f329,plain,
( ~ aElementOf0(sF13,szNzAzT0)
| aElementOf0(sF14,szNzAzT0) ),
inference(superposition,[],[f231,f302]) ).
fof(f370,plain,
( aSet0(slbdtrb0(sF14))
| ~ aElementOf0(sF13,szNzAzT0) ),
inference(superposition,[],[f324,f302]) ).
fof(f371,plain,
( ~ aElementOf0(sF13,szNzAzT0)
| aSet0(sF15) ),
inference(forward_demodulation,[],[f370,f304]) ).
fof(f408,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f189,f279]) ).
fof(f411,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f408,f228]) ).
fof(f452,plain,
! [X0] :
( ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xS),szNzAzT0) ),
inference(resolution,[],[f191,f411]) ).
fof(f454,plain,
! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xS),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f452,f322]) ).
fof(f516,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| slcrc0 = xS
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[],[f292,f411]) ).
fof(f519,plain,
( ~ isFinite0(xS)
| slcrc0 = xS
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f516,f279]) ).
fof(f523,plain,
( slcrc0 = xS
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f519,f278]) ).
fof(f525,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(forward_subsumption_resolution,[],[f523,f280]) ).
fof(f526,plain,
aElementOf0(sF13,szNzAzT0),
inference(forward_demodulation,[],[f525,f300]) ).
fof(f538,plain,
aElementOf0(sF14,szNzAzT0),
inference(resolution,[],[f526,f329]) ).
fof(f541,plain,
aSet0(sF15),
inference(resolution,[],[f526,f371]) ).
fof(f617,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),sF14)
| ~ sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sF13,szNzAzT0) ),
inference(superposition,[],[f238,f302]) ).
fof(f618,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),sF14)
| ~ sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f617,f526]) ).
fof(f773,plain,
! [X0] :
( sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| slcrc0 = xS ),
inference(superposition,[],[f293,f300]) ).
fof(f774,plain,
! [X0] :
( sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,xS)
| ~ isFinite0(xS)
| slcrc0 = xS ),
inference(forward_subsumption_resolution,[],[f773,f279]) ).
fof(f775,plain,
! [X0] :
( sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,xS)
| slcrc0 = xS ),
inference(forward_subsumption_resolution,[],[f774,f278]) ).
fof(f776,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(X0,sF13) ),
inference(forward_subsumption_resolution,[],[f775,f280]) ).
fof(f905,plain,
! [X0] :
( sdtlseqdt0(sK5(X0,xS),sF13)
| ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f776,f191]) ).
fof(f910,plain,
! [X0] :
( sdtlseqdt0(sK5(X0,xS),sF13)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f905,f322]) ).
fof(f1439,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(sF14))
| ~ aElementOf0(sF14,szNzAzT0) ),
inference(resolution,[],[f618,f295]) ).
fof(f1447,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(sF14))
| ~ aElementOf0(sF14,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f1439]) ).
fof(f1451,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sF13)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(sF14)) ),
inference(forward_subsumption_resolution,[],[f1447,f538]) ).
fof(f1455,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sF13)
| aElementOf0(X0,sF15)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f1451,f304]) ).
fof(f6516,plain,
! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xS),sF15)
| ~ aElementOf0(sK5(X0,xS),szNzAzT0) ),
inference(resolution,[],[f910,f1455]) ).
fof(f6521,plain,
! [X0] :
( aElementOf0(sK5(X0,xS),sF15)
| ~ aSet0(X0)
| aSubsetOf0(xS,X0) ),
inference(forward_subsumption_resolution,[],[f6516,f454]) ).
fof(f9036,plain,
( ~ aSet0(sF15)
| aSubsetOf0(xS,sF15)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF15)
| ~ aSet0(sF15) ),
inference(resolution,[],[f6521,f192]) ).
fof(f9043,plain,
( ~ aSet0(sF15)
| aSubsetOf0(xS,sF15)
| ~ aSet0(xS) ),
inference(duplicate_literal_removal,[],[f9036]) ).
fof(f9047,plain,
( aSubsetOf0(xS,sF15)
| ~ aSet0(xS) ),
inference(forward_subsumption_resolution,[],[f9043,f541]) ).
fof(f9049,plain,
~ aSet0(xS),
inference(forward_subsumption_resolution,[],[f9047,f305]) ).
fof(f9050,plain,
$false,
inference(forward_subsumption_resolution,[],[f9049,f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM544+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:25:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.60/3.93 % (137633)Will run a generic schedule for satisfiability detection.
% 24.60/3.93 % (137642)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2459316902:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 24.60/3.93 % (137639)% WARNING: option uhcvi not known.
% 24.60/3.93 % (137638)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=547484459_2999 on theBenchmark for (2999ds/0Mi)
% 24.60/3.93 % (137639)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=492106738:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 24.60/3.93 % (137640)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1508710095:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 24.60/3.93 % (137641)dis+10_1_sil=32000:sp=arity:random_seed=2908582581:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 24.60/3.93 % (137643)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4265745749:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 24.60/3.93 % (137644)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2967689646:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 24.60/3.93 % TRYING [1]
% 24.60/3.93 % TRYING [2]
% 24.60/3.93 % TRYING [3]
% 24.60/3.93 % TRYING [4]
% 24.60/3.93 % (137642)Instruction limit reached!
% 24.60/3.93 % (137642)------------------------------
% 24.60/3.93 % (137642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/3.93 % (137642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/3.93 % (137642)CaDiCaL version: 2.1.3
% 24.60/3.93 % (137642)Termination reason: Instruction limit
% 24.60/3.93 % (137642)Termination phase: Saturation
% 24.60/3.93 % (137642)Time elapsed: 0.041 s
% 24.60/3.93 % (137642)Peak memory usage: 13 MB
% 24.60/3.93 % (137642)Instructions burned: 117 (million)
% 24.60/3.93 % TRYING [5]
% 24.60/3.93 % (137652)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2142289795:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 24.60/3.93 % TRYING [1]
% 24.60/3.93 % TRYING [2]
% 24.60/3.93 % TRYING [3]
% 24.60/3.93 % TRYING [4]
% 24.60/3.93 % TRYING [5]
% 24.60/3.93 % (137641)Instruction limit reached!
% 24.60/3.93 % (137641)------------------------------
% 24.60/3.93 % (137641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/3.93 % (137641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/3.93 % (137641)CaDiCaL version: 2.1.3
% 24.60/3.93 % (137641)Termination reason: Instruction limit
% 24.60/3.93 % (137641)Termination phase: Saturation
% 24.60/3.93 % (137641)Time elapsed: 0.072 s
% 24.60/3.93 % (137641)Peak memory usage: 13 MB
% 24.60/3.93 % (137641)Instructions burned: 109 (million)
% 24.60/3.93 % TRYING [6]
% 24.60/3.93 % (137643)Instruction limit reached!
% 24.60/3.93 % (137643)------------------------------
% 24.60/3.93 % (137643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/3.93 % (137643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/3.93 % (137643)CaDiCaL version: 2.1.3
% 24.60/3.93 % (137643)Termination reason: Instruction limit
% 24.60/3.93 % (137643)Termination phase: Saturation
% 24.60/3.93 % (137643)Time elapsed: 0.082 s
% 24.60/3.93 % (137643)Peak memory usage: 13 MB
% 24.60/3.93 % (137643)Instructions burned: 131 (million)
% 24.60/3.93 % (137654)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=933871555:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 24.60/3.93 % TRYING [6]
% 24.60/3.93 % (137655)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1741709588:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 24.60/3.93 % (137644)Instruction limit reached!
% 24.60/3.93 % (137644)------------------------------
% 24.60/3.93 % (137644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/3.93 % (137644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/3.93 % (137644)CaDiCaL version: 2.1.3
% 24.60/3.93 % (137644)Termination reason: Instruction limit
% 24.60/3.93 % (137644)Termination phase: Saturation
% 24.60/3.93 % (137644)Time elapsed: 0.103 s
% 24.60/3.93 % (137644)Peak memory usage: 14 MB
% 24.60/3.93 % (137644)Instructions burned: 159 (million)
% 24.60/3.93 % (137658)ott-21_1_sil=16000:fs=off:random_seed=3591647551:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 24.60/3.93 % TRYING [7]
% 24.60/3.93 % (137654)Instruction limit reached!
% 24.60/3.93 % (137654)------------------------------
% 24.60/3.93 % (137654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137654)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137654)Termination reason: Instruction limit
% 12.08/5.84 % (137654)Termination phase: Saturation
% 12.08/5.84 % (137654)Time elapsed: 0.090 s
% 12.08/5.84 % (137654)Peak memory usage: 13 MB
% 12.08/5.84 % (137654)Instructions burned: 132 (million)
% 12.08/5.84 % (137660)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1872167627:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 12.08/5.84 % TRYING [7]
% 12.08/5.84 % (137658)Instruction limit reached!
% 12.08/5.84 % (137658)------------------------------
% 12.08/5.84 % (137658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137658)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137658)Termination reason: Instruction limit
% 12.08/5.84 % (137658)Termination phase: Saturation
% 12.08/5.84 % (137658)Time elapsed: 0.097 s
% 12.08/5.84 % (137658)Peak memory usage: 13 MB
% 12.08/5.84 % (137658)Instructions burned: 181 (million)
% 12.08/5.84 % (137652)Instruction limit reached!
% 12.08/5.84 % (137652)------------------------------
% 12.08/5.84 % (137652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137652)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137652)Termination reason: Instruction limit
% 12.08/5.84 % (137652)Termination phase: Finite model building constraint generation
% 12.08/5.84 % (137652)Time elapsed: 0.183 s
% 12.08/5.84 % (137652)Peak memory usage: 23 MB
% 12.08/5.84 % (137652)Instructions burned: 716 (million)
% 12.08/5.84 % (137663)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1250609791:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 12.08/5.84 % (137662)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1328976343:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.08/5.84 % TRYING [1]
% 12.08/5.84 % TRYING [2]
% 12.08/5.84 % TRYING [3]
% 12.08/5.84 % TRYING [4]
% 12.08/5.84 % TRYING [8]
% 12.08/5.84 % TRYING [5]
% 12.08/5.84 % TRYING [6]
% 12.08/5.84 % (137655)Instruction limit reached!
% 12.08/5.84 % (137655)------------------------------
% 12.08/5.84 % (137655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137655)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137655)Termination reason: Instruction limit
% 12.08/5.84 % (137655)Termination phase: Saturation
% 12.08/5.84 % (137655)Time elapsed: 0.391 s
% 12.08/5.84 % (137655)Peak memory usage: 20 MB
% 12.08/5.84 % (137655)Instructions burned: 685 (million)
% 12.08/5.84 % (137666)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3454837833:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 12.08/5.84 % (137660)Instruction limit reached!
% 12.08/5.84 % (137660)------------------------------
% 12.08/5.84 % (137660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137660)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137660)Termination reason: Instruction limit
% 12.08/5.84 % (137660)Termination phase: Saturation
% 12.08/5.84 % (137660)Time elapsed: 0.340 s
% 12.08/5.84 % (137660)Peak memory usage: 14 MB
% 12.08/5.84 % (137660)Instructions burned: 477 (million)
% 12.08/5.84 % (137668)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3393639961:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 12.08/5.84 % TRYING [14]
% 12.08/5.84 % (137662)Instruction limit reached!
% 12.08/5.84 % (137662)------------------------------
% 12.08/5.84 % (137662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137662)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137662)Termination reason: Instruction limit
% 12.08/5.84 % (137662)Termination phase: Finite model building SAT solving
% 12.08/5.84 % (137662)Time elapsed: 0.352 s
% 12.08/5.84 % (137662)Peak memory usage: 22 MB
% 12.08/5.84 % (137662)Instructions burned: 865 (million)
% 12.08/5.84 % TRYING [9]
% 12.08/5.84 % (137663)Instruction limit reached!
% 12.08/5.84 % (137663)------------------------------
% 12.08/5.84 % (137663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137663)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137663)Termination reason: Instruction limit
% 12.08/5.84 % (137663)Termination phase: Saturation
% 12.08/5.84 % (137663)Time elapsed: 0.367 s
% 12.08/5.84 % (137663)Peak memory usage: 21 MB
% 12.08/5.84 % (137663)Instructions burned: 1181 (million)
% 12.08/5.84 % (137670)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1164830723:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 12.08/5.84 % (137671)fmb+10_1_sil=64000:random_seed=3086715862:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 12.08/5.84 % TRYING [1]
% 12.08/5.84 % TRYING [2]
% 12.08/5.84 % TRYING [3]
% 12.08/5.84 % TRYING [4]
% 12.08/5.84 % TRYING [5]
% 12.08/5.84 % TRYING [6]
% 12.08/5.84 % TRYING [7]
% 12.08/5.84 % (137666)Instruction limit reached!
% 12.08/5.84 % (137666)------------------------------
% 12.08/5.84 % (137666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137666)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137666)Termination reason: Instruction limit
% 12.08/5.84 % (137666)Termination phase: Finite model building constraint generation
% 12.08/5.84 % (137666)Time elapsed: 0.317 s
% 12.08/5.84 % (137666)Peak memory usage: 70 MB
% 12.08/5.84 % (137666)Instructions burned: 890 (million)
% 12.08/5.84 % (137674)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1579839826:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 12.08/5.84 % TRYING [20]
% 12.08/5.84 % TRYING [8]
% 12.08/5.84 % (137668)Instruction limit reached!
% 12.08/5.84 % (137668)------------------------------
% 12.08/5.84 % (137668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137668)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137668)Termination reason: Instruction limit
% 12.08/5.84 % (137668)Termination phase: Saturation
% 12.08/5.84 % (137668)Time elapsed: 0.430 s
% 12.08/5.84 % (137668)Peak memory usage: 20 MB
% 12.08/5.84 % (137668)Instructions burned: 692 (million)
% 12.08/5.84 % (137676)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4008016067:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 12.08/5.84 % TRYING [8]
% 12.08/5.84 % (137670)Instruction limit reached!
% 12.08/5.84 % (137670)------------------------------
% 12.08/5.84 % (137670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137670)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137670)Termination reason: Instruction limit
% 12.08/5.84 % (137670)Termination phase: Saturation
% 12.08/5.84 % (137670)Time elapsed: 0.495 s
% 12.08/5.84 % (137670)Peak memory usage: 19 MB
% 12.08/5.84 % (137670)Instructions burned: 881 (million)
% 12.08/5.84 % (137678)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4187775467:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 12.08/5.84 % TRYING [9]
% 12.08/5.84 % TRYING [9]
% 12.08/5.84 % TRYING [10]
% 12.08/5.84 % (137676)Instruction limit reached!
% 12.08/5.84 % (137676)------------------------------
% 12.08/5.84 % (137676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137676)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137676)Termination reason: Instruction limit
% 12.08/5.84 % (137676)Termination phase: Finite model building constraint generation
% 12.08/5.84 % (137676)Time elapsed: 0.372 s
% 12.08/5.84 % (137676)Peak memory usage: 44 MB
% 12.08/5.84 % (137676)Instructions burned: 922 (million)
% 12.08/5.84 % (137680)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1949650425:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 12.08/5.84 % TRYING [10]
% 12.08/5.84 % (137680)Instruction limit reached!
% 12.08/5.84 % (137680)------------------------------
% 12.08/5.84 % (137680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137680)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137680)Termination reason: Instruction limit
% 12.08/5.84 % (137680)Termination phase: Saturation
% 12.08/5.84 % (137680)Time elapsed: 0.814 s
% 12.08/5.84 % (137680)Peak memory usage: 28 MB
% 12.08/5.84 % (137680)Instructions burned: 1473 (million)
% 12.08/5.84 % (137682)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1408694580:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 12.08/5.84 % TRYING [77]
% 12.08/5.84 % TRYING [11]
% 12.08/5.84 % TRYING [11]
% 12.08/5.84 % (137678)Instruction limit reached!
% 12.08/5.84 % (137678)------------------------------
% 12.08/5.84 % (137678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137678)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137678)Termination reason: Instruction limit
% 12.08/5.84 % (137678)Termination phase: Saturation
% 12.08/5.84 % (137678)Time elapsed: 2.987 s
% 12.08/5.84 % (137678)Peak memory usage: 35 MB
% 12.08/5.84 % (137678)Instructions burned: 5131 (million)
% 12.08/5.84 % (137684)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=593290290:fmbsr=2.30978:i=2174_2958 on theBenchmark for (2958ds/2174Mi)
% 12.08/5.84 % TRYING [16]
% 12.08/5.84 % (137682)Instruction limit reached!
% 12.08/5.84 % (137682)------------------------------
% 12.08/5.84 % (137682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137682)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137682)Termination reason: Instruction limit
% 12.08/5.84 % (137682)Termination phase: Finite model building constraint generation
% 12.08/5.84 % (137682)Time elapsed: 2.215 s
% 12.08/5.84 % (137682)Peak memory usage: 437 MB
% 12.08/5.84 % (137682)Instructions burned: 6324 (million)
% 12.08/5.84 % (137686)ott-2_1_sil=16000:newcnf=on:random_seed=496415516:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 12.08/5.84 % (137684)Instruction limit reached!
% 12.08/5.84 % (137684)------------------------------
% 12.08/5.84 % (137684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137684)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137684)Termination reason: Instruction limit
% 12.08/5.84 % (137684)Termination phase: Finite model building constraint generation
% 12.08/5.84 % (137684)Time elapsed: 0.753 s
% 12.08/5.84 % (137684)Peak memory usage: 139 MB
% 12.08/5.84 % (137684)Instructions burned: 2177 (million)
% 12.08/5.84 % (137686)Instruction limit reached!
% 12.08/5.84 % (137686)------------------------------
% 12.08/5.84 % (137686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137686)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137686)Termination reason: Instruction limit
% 12.08/5.84 % (137686)Termination phase: Saturation
% 12.08/5.84 % (137686)Time elapsed: 0.382 s
% 12.08/5.84 % (137686)Peak memory usage: 13 MB
% 12.08/5.84 % (137686)Instructions burned: 872 (million)
% 12.08/5.84 % (137688)ott+10_1_sil=32000:tgt=ground:random_seed=4085446886:i=5114:av=off_2950 on theBenchmark for (2950ds/5114Mi)
% 12.08/5.84 % (137689)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1757741281:i=54282_2950 on theBenchmark for (2950ds/54282Mi)
% 12.08/5.84 % TRYING [1]
% 12.08/5.84 % TRYING [2]
% 12.08/5.84 % TRYING [3]
% 12.08/5.84 % TRYING [4]
% 12.08/5.84 % TRYING [5]
% 12.08/5.84 % TRYING [6]
% 12.08/5.84 % TRYING [7]
% 12.08/5.84 % TRYING [8]
% 12.08/5.84 % (137688) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-137633-137688"...
% 12.08/5.84 % (137688)...printing done.
% 12.08/5.84 % (137688)Refutation found. Thanks to Tanya!
% 12.08/5.84 % SZS status Theorem for theBenchmark
% 12.08/5.84 % SZS output start Proof for theBenchmark
% See solution above
% 12.08/5.84 % (137688)------------------------------
% 12.08/5.84 % (137688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.08/5.84 % (137688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/5.84 % (137688)CaDiCaL version: 2.1.3
% 12.08/5.84 % (137688)Termination reason: Refutation
% 12.08/5.84 % (137688)Time elapsed: 0.355 s
% 12.08/5.84 % (137688)Peak memory usage: 16 MB
% 12.08/5.84 % (137688)Instructions burned: 587 (million)
% 12.08/5.84 % (137633)Success in time 5.42 s
% 12.08/5.84 % Vampire exiting
%------------------------------------------------------------------------------