%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM597+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:15:55 PM UTC 2026
% Result : Theorem 2.46s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 13 unt; 2 def)
% Number of atoms : 198 ( 36 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 221 ( 74 ~; 59 |; 72 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 46 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(f93,axiom,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4758) ).
fof(f94,axiom,
~ ( ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) )
=> ~ ? [X0] : aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4868) ).
fof(f95,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f96,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f113,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X2,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(rectify,[],[f93]) ).
fof(f114,plain,
~ ( ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) )
=> ~ ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(rectify,[],[f94]) ).
fof(f115,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(flattening,[],[f96]) ).
fof(f239,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f240,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f239]) ).
fof(f241,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X2] :
( aElementOf0(X2,xT)
| ~ aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(ennf_transformation,[],[f113]) ).
fof(f242,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) ),
inference(ennf_transformation,[],[f114]) ).
fof(f243,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) ),
inference(flattening,[],[f242]) ).
fof(f412,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK67(X0,X1),X1)
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f240]) ).
fof(f413,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X2] :
( aElementOf0(X2,xT)
| ~ aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(nnf_transformation,[],[f241]) ).
fof(f414,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ? [X2] :
( aElementOf0(X2,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X2) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(rectify,[],[f413]) ).
fof(f415,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ( aElementOf0(sK68(X0),szDzozmdt0(xd))
& sdtlpdtrp0(xd,sK68(X0)) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X2,sK68(X0))],[f414]) ).
fof(f416,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
& ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(nnf_transformation,[],[f243]) ).
fof(f417,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
& ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(flattening,[],[f416]) ).
fof(f418,plain,
( ? [X0] : aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
& ( ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(rectify,[],[f417]) ).
fof(f419,plain,
( aElementOf0(sK69,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
& ( ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X0,sK69)],[f418]) ).
fof(f778,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f412]) ).
fof(f781,plain,
! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f415]) ).
fof(f784,plain,
! [X0,X1] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ),
inference(cnf_transformation,[],[f415]) ).
fof(f786,plain,
! [X1] :
( sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f419]) ).
fof(f787,plain,
! [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f419]) ).
fof(f790,plain,
aElementOf0(sK69,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f419]) ).
fof(f791,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f115]) ).
fof(f844,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd)) ),
inference(equality_resolution,[],[f784]) ).
fof(f903,plain,
! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X3,xT) ),
inference(forward_demodulation,[],[f781,f778]) ).
fof(f968,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(forward_demodulation,[],[f787,f778]) ).
fof(f1133,definition,
( spl70_17
<=> ! [X0] : ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(definition,[new_symbols(definition,[spl70_17])],[avatar_definition]) ).
fof(f1134,plain,
( ! [X0] : ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl70_17 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1140,plain,
( $false
| ~ spl70_17 ),
inference(resolution,[],[f1134,f790]) ).
fof(f1142,plain,
~ spl70_17,
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1147,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szDzozmdt0(xd)) ),
inference(forward_demodulation,[],[f844,f778]) ).
fof(f1174,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_demodulation,[],[f1147,f778]) ).
fof(f1177,plain,
! [X0] :
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(superposition,[],[f1174,f786]) ).
fof(f1178,plain,
! [X0] :
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(forward_subsumption_resolution,[],[f1177,f968]) ).
fof(f1180,definition,
( spl70_19
<=> aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(definition,[new_symbols(definition,[spl70_19])],[avatar_definition]) ).
fof(f1182,plain,
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ spl70_19 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1183,plain,
( spl70_17
| spl70_19 ),
inference(avatar_split_clause,[],[f1178,f1180,f1133]) ).
fof(f1195,plain,
( aElementOf0(szDzizrdt0(xd),xT)
| ~ spl70_19 ),
inference(resolution,[],[f1182,f903]) ).
fof(f1196,plain,
( $false
| ~ spl70_19 ),
inference(forward_subsumption_resolution,[],[f1195,f791]) ).
fof(f1197,plain,
~ spl70_19,
inference(avatar_contradiction_clause,[],[f1196]) ).
cnf(s18,plain,
~ spl70_17,
inference(sat_conversion,[],[f1142]) ).
cnf(s25,plain,
( spl70_17
| spl70_19 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s26,plain,
~ spl70_19,
inference(sat_conversion,[],[f1197]) ).
cnf(s27,plain,
spl70_17,
inference(rat,[],[s25,s26]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s18,s27]) ).
fof(f1198,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM597+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n006.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 20:40:41 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 2.46/1.31 % (3293975)Detected formulas, will run a generic FOF schedule.
% 2.46/1.31 % (3293980)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=3186587927:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.46/1.31 % (3293983)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3815444424:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.46/1.31 % (3293982)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=1739351297:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.46/1.31 % (3293984)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2165794655:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.46/1.31 % (3293981)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=147546227:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.46/1.31 % (3293986)dis-21_1_sil=8000:lcm=predicate:random_seed=716006905: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)
% 2.46/1.31 % (3293985)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4188090993:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.46/1.31 % (3293985)First to succeed.
% 2.46/1.31 % (3293985)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3293975"
% 2.46/1.31 % (3293984)Instruction limit reached!
% 2.46/1.31 % (3293984)------------------------------
% 2.46/1.31 % (3293984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.31 % (3293984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.31 % (3293984)CaDiCaL version: 2.1.3
% 2.46/1.31 % (3293984)Termination reason: Instruction limit
% 2.46/1.31 % (3293984)Termination phase: Saturation
% 2.46/1.31 % (3293984)Time elapsed: 0.061 s
% 2.46/1.31 % (3293984)Peak memory usage: 88 MB
% 2.46/1.31 % (3293984)Instructions burned: 121 (million)
% 2.46/1.31 % (3293986)Instruction limit reached!
% 2.46/1.31 % (3293986)------------------------------
% 2.46/1.31 % (3293986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.31 % (3293986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.31 % (3293986)CaDiCaL version: 2.1.3
% 2.46/1.31 % (3293986)Termination reason: Instruction limit
% 2.46/1.31 % (3293986)Termination phase: Saturation
% 2.46/1.31 % (3293986)Time elapsed: 0.068 s
% 2.46/1.31 % (3293986)Peak memory usage: 90 MB
% 2.46/1.31 % (3293986)Instructions burned: 130 (million)
% 2.46/1.31 % (3293983)Instruction limit reached!
% 2.46/1.31 % (3293983)------------------------------
% 2.46/1.31 % (3293983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.31 % (3293983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.31 % (3293983)CaDiCaL version: 2.1.3
% 2.46/1.31 % (3293983)Termination reason: Instruction limit
% 2.46/1.31 % (3293983)Termination phase: Saturation
% 2.46/1.31 % (3293983)Time elapsed: 0.068 s
% 2.46/1.31 % (3293983)Peak memory usage: 90 MB
% 2.46/1.31 % (3293983)Instructions burned: 111 (million)
% 2.46/1.31 % (3293994)lrs+10_1_sil=8000:sp=occurrence:random_seed=1313330691:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.46/1.31 % (3293996)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1926169367:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.46/1.31 % (3293995)lrs+10_1_sil=32000:urr=on:br=off:random_seed=766712856:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.46/1.31 % (3293995)Also succeeded, but the first one will report.
% 2.46/1.31 % (3293985)Refutation found. Thanks to Tanya!
% 2.46/1.31 % SZS status Theorem for theBenchmark
% 2.46/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.50 % (3293985)------------------------------
% 0.18/1.50 % (3293985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (3293985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (3293985)CaDiCaL version: 2.1.3
% 0.18/1.50 % (3293985)Termination reason: Refutation
% 0.18/1.50 % (3293985)Time elapsed: 0.023 s
% 0.18/1.50 % (3293985)Peak memory usage: 90 MB
% 0.18/1.50 % (3293985)Instructions burned: 33 (million)
% 0.18/1.50 % (3293985)------------------------------
% 0.18/1.50 % (3293985)------------------------------
% 0.18/1.50 % (3293975)Success in time 0.432 s
% 0.18/1.50 % Vampire exiting
%------------------------------------------------------------------------------