%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM564+1 : 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 : n009.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 12:15:45 PM UTC 2026
% Result : Theorem 0.79s 0.92s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 78 ( 22 unt; 3 def)
% Number of atoms : 301 ( 63 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 373 ( 150 ~; 144 |; 60 &)
% ( 15 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn 84 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f78,axiom,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f79,conjecture,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f80,negated_conjecture,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(negated_conjecture,[status(cth)],[f79]) ).
fof(f88,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(flattening,[],[f80]) ).
fof(f90,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f139,plain,
! [X0] :
( ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f163,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f164,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f163]) ).
fof(f196,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f197,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f197]) ).
fof(f199,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f198]) ).
fof(f200,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,[],[f95]) ).
fof(f201,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,[],[f200]) ).
fof(f202,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,[],[f201]) ).
fof(f203,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))],[f202]) ).
fof(f219,plain,
! [X0] :
( ( ( sbrdtbr0(X0) = sz00
| slcrc0 != X0 )
& ( X0 = slcrc0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f237,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f164]) ).
fof(f238,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f237]) ).
fof(f239,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f238]) ).
fof(f240,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK14(X0,X1,X2),X0)
& sbrdtbr0(sK14(X0,X1,X2)) = X1 )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f239]) ).
fof(f257,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f258,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f264,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f265,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f302,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f303,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f324,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f358,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f403,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f405,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f411,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f412,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(cnf_transformation,[],[f88]) ).
fof(f413,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f258]) ).
fof(f414,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f257]) ).
fof(f420,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f324]) ).
fof(f431,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f358]) ).
fof(f432,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f431]) ).
fof(f452,definition,
( spl25_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f453,plain,
( aSet0(slcrc0)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f456,definition,
( spl25_2
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f458,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f459,plain,
( ~ spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f420,f456,f452]) ).
fof(f465,plain,
spl25_1,
inference(avatar_split_clause,[],[f413,f452]) ).
fof(f469,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,sz00),
inference(forward_demodulation,[],[f405,f411]) ).
fof(f470,plain,
~ aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(superposition,[],[f412,f469]) ).
fof(f481,definition,
( spl25_5
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f482,plain,
( aSet0(xS)
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f483,plain,
( ~ aSet0(xS)
| spl25_5 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f557,plain,
( ! [X0] :
( ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| spl25_5 ),
inference(resolution,[],[f483,f264]) ).
fof(f629,plain,
! [X0] :
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f265,f414]) ).
fof(f632,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) )
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f629,f453]) ).
fof(f640,plain,
( ~ aSet0(szNzAzT0)
| spl25_5 ),
inference(resolution,[],[f557,f403]) ).
fof(f644,plain,
( $false
| spl25_5 ),
inference(forward_subsumption_resolution,[],[f640,f302]) ).
fof(f645,plain,
spl25_5,
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f861,plain,
( ! [X0] :
( aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00))
| ~ aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,szNzAzT0) )
| ~ spl25_2 ),
inference(superposition,[],[f432,f458]) ).
fof(f869,plain,
( ! [X0] :
( aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00))
| ~ aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) )
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f861,f303]) ).
fof(f870,plain,
( ! [X0] :
( aElementOf0(slcrc0,slbdtsldtrb0(X0,sz00))
| ~ aSet0(X0) )
| ~ spl25_1
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f869,f632]) ).
fof(f873,plain,
( aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSet0(xS)
| ~ spl25_1
| ~ spl25_2 ),
inference(superposition,[],[f870,f469]) ).
fof(f875,plain,
( ~ aSet0(xS)
| ~ spl25_1
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f873,f470]) ).
fof(f878,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f875,f482]) ).
fof(f879,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_5 ),
inference(avatar_contradiction_clause,[],[f878]) ).
cnf(s1,plain,
( ~ spl25_1
| spl25_2 ),
inference(sat_conversion,[],[f459]) ).
cnf(s3,plain,
spl25_1,
inference(sat_conversion,[],[f465]) ).
cnf(s19,plain,
spl25_5,
inference(sat_conversion,[],[f645]) ).
cnf(s32,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_5 ),
inference(sat_conversion,[],[f879]) ).
cnf(s51,plain,
~ spl25_2,
inference(rat,[],[s32,s19,s3]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s1,s51,s3]) ).
fof(f880,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM564+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:30:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.79/0.92 % (2375748)Detected formulas, will run a generic FOF schedule.
% 0.79/0.92 % (2375758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3636772621:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.79/0.92 % (2375758)First to succeed.
% 0.79/0.92 % (2375758)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2375748"
% 0.79/0.92 % (2375756)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1221784443:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.79/0.92 % (2375757)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=991658287:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.79/0.92 % (2375754)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=2331874858:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.79/0.92 % (2375755)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=1522620776:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.79/0.92 % (2375753)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=1792603025:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.79/0.92 % (2375759)dis-21_1_sil=8000:lcm=predicate:random_seed=1013658385: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)
% 0.79/0.92 % (2375757)Also succeeded, but the first one will report.
% 0.79/0.92 % (2375759)Instruction limit reached!
% 0.79/0.92 % (2375759)------------------------------
% 0.79/0.92 % (2375759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.79/0.92 % (2375759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.92 % (2375759)CaDiCaL version: 2.1.3
% 0.79/0.92 % (2375759)Termination reason: Instruction limit
% 0.79/0.92 % (2375759)Termination phase: Saturation
% 0.79/0.92 % (2375759)Time elapsed: 0.063 s
% 0.79/0.92 % (2375759)Peak memory usage: 88 MB
% 0.79/0.92 % (2375759)Instructions burned: 130 (million)
% 0.79/0.92 % (2375756)Instruction limit reached!
% 0.79/0.92 % (2375756)------------------------------
% 0.79/0.92 % (2375756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.79/0.92 % (2375756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.79/0.92 % (2375756)CaDiCaL version: 2.1.3
% 0.79/0.92 % (2375756)Termination reason: Instruction limit
% 0.79/0.92 % (2375756)Termination phase: Saturation
% 0.79/0.92 % (2375756)Time elapsed: 0.068 s
% 0.79/0.92 % (2375756)Peak memory usage: 89 MB
% 0.79/0.92 % (2375756)Instructions burned: 109 (million)
% 0.79/0.92 % (2375758)Refutation found. Thanks to Tanya!
% 0.79/0.92 % SZS status Theorem for theBenchmark
% 0.79/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.12 % (2375758)------------------------------
% 2.61/1.12 % (2375758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.12 % (2375758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.12 % (2375758)CaDiCaL version: 2.1.3
% 2.61/1.12 % (2375758)Termination reason: Refutation
% 2.61/1.12 % (2375758)Time elapsed: 0.011 s
% 2.61/1.12 % (2375758)Peak memory usage: 90 MB
% 2.61/1.12 % (2375758)Instructions burned: 24 (million)
% 2.61/1.12 % (2375758)------------------------------
% 2.61/1.12 % (2375758)------------------------------
% 2.61/1.12 % (2375748)Success in time 0.323 s
% 2.61/1.12 % Vampire exiting
%------------------------------------------------------------------------------