%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM549+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 : n020.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 12:15:42 PM UTC 2026
% Result : Theorem 2.76s 1.28s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 84 ( 19 unt; 5 def)
% Number of atoms : 309 ( 63 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 367 ( 142 ~; 142 |; 62 &)
% ( 15 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 96 ( 0 sgn 84 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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(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(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f65,axiom,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f67,conjecture,
? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f68,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f72,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f73,plain,
! [X0] :
( ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f79,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f87,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,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(f95,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,[],[f94]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f103,plain,
! [X0] :
( ( ( sbrdtbr0(X0) = sz00
| slcrc0 != X0 )
& ( X0 = slcrc0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f105,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f106,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK1(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f107]) ).
fof(f109,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,[],[f87]) ).
fof(f110,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,[],[f109]) ).
fof(f111,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,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK2(X0,X1),X0)
& aElementOf0(sK2(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f111]) ).
fof(f113,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,[],[f95]) ).
fof(f114,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,[],[f113]) ).
fof(f115,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,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK3(X0,X1,X2),X0)
| sbrdtbr0(sK3(X0,X1,X2)) != X1
| ~ aElementOf0(sK3(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK3(X0,X1,X2),X0)
& sbrdtbr0(sK3(X0,X1,X2)) = X1 )
| aElementOf0(sK3(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,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f115]) ).
fof(f119,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f120,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f122,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f126,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f65]) ).
fof(f127,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f129,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f130,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f132,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f143,plain,
! [X0] :
( aElementOf0(sK1(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f148,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f156,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f169,definition,
~ sP5(sz00),
introduced(definition,[new_symbols(definition,[sP5])],[inequality_splitting_name_introduction]) ).
fof(f170,plain,
sP5(xk),
inference(inequality_splitting,[],[f120,f169]) ).
fof(f173,definition,
~ sP7(slcrc0),
introduced(definition,[new_symbols(definition,[sP7])],[inequality_splitting_name_introduction]) ).
fof(f174,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| sP7(X0)
| ~ aSet0(X0) ),
inference(inequality_splitting,[],[f132,f173]) ).
fof(f188,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f156]) ).
fof(f190,plain,
( ~ aElement0(sK1(xQ))
| ~ aSet0(xQ)
| slcrc0 = xQ ),
inference(resolution,[],[f130,f143]) ).
fof(f193,plain,
( ~ aElement0(sK1(xQ))
| slcrc0 = xQ ),
inference(forward_subsumption_resolution,[],[f190,f129]) ).
fof(f195,definition,
( spl13_1
<=> slcrc0 = xQ ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f197,plain,
( slcrc0 = xQ
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f199,definition,
( spl13_2
<=> aElement0(sK1(xQ)) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f201,plain,
( ~ aElement0(sK1(xQ))
| spl13_2 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
( spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f193,f199,f195]) ).
fof(f203,plain,
! [X0] :
( ~ sP5(sbrdtbr0(X0))
| sP7(X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f169,f174]) ).
fof(f253,plain,
( aSubsetOf0(xQ,xS)
| ~ aSet0(xS)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[],[f126,f188]) ).
fof(f265,plain,
( aSubsetOf0(xQ,xS)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f253,f122]) ).
fof(f266,plain,
aSubsetOf0(xQ,xS),
inference(forward_subsumption_resolution,[],[f265,f119]) ).
fof(f292,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f266,f148]) ).
fof(f299,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[],[f292,f122]) ).
fof(f338,plain,
( ~ sP5(xk)
| sP7(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[],[f203,f127]) ).
fof(f342,plain,
( aElementOf0(sK1(xQ),xS)
| ~ aSet0(xQ)
| slcrc0 = xQ ),
inference(resolution,[],[f299,f143]) ).
fof(f345,plain,
( aElementOf0(sK1(xQ),xS)
| slcrc0 = xQ ),
inference(forward_subsumption_resolution,[],[f342,f129]) ).
fof(f347,definition,
( spl13_18
<=> aElementOf0(sK1(xQ),xS) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
fof(f349,plain,
( aElementOf0(sK1(xQ),xS)
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f350,plain,
( spl13_1
| spl13_18 ),
inference(avatar_split_clause,[],[f345,f347,f195]) ).
fof(f411,plain,
( aElement0(sK1(xQ))
| ~ aSet0(xS)
| ~ spl13_18 ),
inference(resolution,[],[f349,f168]) ).
fof(f413,plain,
( ~ aSet0(xS)
| spl13_2
| ~ spl13_18 ),
inference(forward_subsumption_resolution,[],[f411,f201]) ).
fof(f414,plain,
( $false
| spl13_2
| ~ spl13_18 ),
inference(forward_subsumption_resolution,[],[f413,f122]) ).
fof(f415,plain,
( spl13_2
| ~ spl13_18 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f418,plain,
( sP7(xQ)
| ~ aSet0(xQ) ),
inference(forward_subsumption_resolution,[],[f338,f170]) ).
fof(f419,plain,
sP7(xQ),
inference(forward_subsumption_resolution,[],[f418,f129]) ).
fof(f420,plain,
( sP7(slcrc0)
| ~ spl13_1 ),
inference(forward_demodulation,[],[f419,f197]) ).
fof(f421,plain,
( $false
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f420,f173]) ).
fof(f422,plain,
~ spl13_1,
inference(avatar_contradiction_clause,[],[f421]) ).
cnf(s1,plain,
( spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f202]) ).
cnf(s15,plain,
( spl13_1
| spl13_18 ),
inference(sat_conversion,[],[f350]) ).
cnf(s20,plain,
( spl13_2
| ~ spl13_18 ),
inference(sat_conversion,[],[f415]) ).
cnf(s21,plain,
~ spl13_1,
inference(sat_conversion,[],[f422]) ).
cnf(s23,plain,
spl13_18,
inference(rat,[],[s15,s21]) ).
cnf(s24,plain,
spl13_2,
inference(rat,[],[s20,s23]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s24,s21]) ).
fof(f423,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM549+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:28:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.76/1.28 % (3723253)Detected formulas, will run a generic FOF schedule.
% 2.76/1.28 % (3723258)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=1750677018:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.76/1.28 % (3723261)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=849726169:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.76/1.28 % (3723260)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=4075308900:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.76/1.28 % (3723259)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=4198726151:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.76/1.28 % (3723261)First to succeed.
% 2.76/1.28 % (3723261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3723253"
% 2.76/1.28 % (3723262)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4281589744:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.76/1.28 % (3723264)dis-21_1_sil=8000:lcm=predicate:random_seed=3113521449: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)
% 2.76/1.28 % (3723263)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3087204549:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.76/1.28 % (3723262)Also succeeded, but the first one will report.
% 2.76/1.28 % (3723263)Also succeeded, but the first one will report.
% 2.76/1.28 % (3723264)Instruction limit reached!
% 2.76/1.28 % (3723264)------------------------------
% 2.76/1.28 % (3723264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.28 % (3723264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.28 % (3723264)CaDiCaL version: 2.1.3
% 2.76/1.28 % (3723264)Termination reason: Instruction limit
% 2.76/1.28 % (3723264)Termination phase: Saturation
% 2.76/1.28 % (3723264)Time elapsed: 0.058 s
% 2.76/1.28 % (3723264)Peak memory usage: 88 MB
% 2.76/1.28 % (3723264)Instructions burned: 131 (million)
% 2.76/1.28 % (3723272)lrs+10_1_sil=8000:sp=occurrence:random_seed=4187773274:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.76/1.28 % (3723272)Also succeeded, but the first one will report.
% 2.76/1.28 % (3723261)Refutation found. Thanks to Tanya!
% 2.76/1.28 % SZS status Theorem for theBenchmark
% 2.76/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.46 % (3723261)------------------------------
% 3.64/1.46 % (3723261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.46 % (3723261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.46 % (3723261)CaDiCaL version: 2.1.3
% 3.64/1.46 % (3723261)Termination reason: Refutation
% 3.64/1.46 % (3723261)Time elapsed: 0.009 s
% 3.64/1.46 % (3723261)Peak memory usage: 89 MB
% 3.64/1.46 % (3723261)Instructions burned: 10 (million)
% 3.64/1.46 % (3723261)------------------------------
% 3.64/1.46 % (3723261)------------------------------
% 3.64/1.46 % (3723253)Success in time 0.435 s
% 3.64/1.46 % Vampire exiting
%------------------------------------------------------------------------------