TSTP Solution File: LAT287+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT287+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:23:00 EDT 2024
% Result : Theorem 2.06s 1.24s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 74 ( 12 unt; 0 def)
% Number of atoms : 211 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 242 ( 105 ~; 95 |; 26 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 39 ( 36 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16049,plain,
$false,
inference(avatar_sat_refutation,[],[f14192,f15724,f15797,f15998,f16045]) ).
fof(f16045,plain,
spl104_75,
inference(avatar_contradiction_clause,[],[f16044]) ).
fof(f16044,plain,
( $false
| spl104_75 ),
inference(subsumption_resolution,[],[f16043,f13192]) ).
fof(f13192,plain,
v2_pre_topc(sK9),
inference(cnf_transformation,[],[f12914]) ).
fof(f12914,plain,
( ~ m1_subset_1(k1_pre_topc(sK9),u1_struct_0(k6_lopclset(sK9)))
& l1_pre_topc(sK9)
& v2_pre_topc(sK9)
& ~ v3_struct_0(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f12404,f12913]) ).
fof(f12913,plain,
( ? [X0] :
( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ~ m1_subset_1(k1_pre_topc(sK9),u1_struct_0(k6_lopclset(sK9)))
& l1_pre_topc(sK9)
& v2_pre_topc(sK9)
& ~ v3_struct_0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f12404,plain,
? [X0] :
( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f12403]) ).
fof(f12403,plain,
? [X0] :
( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12373]) ).
fof(f12373,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(negated_conjecture,[],[f12372]) ).
fof(f12372,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',t16_lopclset) ).
fof(f16043,plain,
( ~ v2_pre_topc(sK9)
| spl104_75 ),
inference(subsumption_resolution,[],[f16030,f13193]) ).
fof(f13193,plain,
l1_pre_topc(sK9),
inference(cnf_transformation,[],[f12914]) ).
fof(f16030,plain,
( ~ l1_pre_topc(sK9)
| ~ v2_pre_topc(sK9)
| spl104_75 ),
inference(resolution,[],[f15796,f13210]) ).
fof(f13210,plain,
! [X0] :
( v4_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f12417]) ).
fof(f12417,plain,
! [X0] :
( v4_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f12416]) ).
fof(f12416,plain,
! [X0] :
( v4_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f6909]) ).
fof(f6909,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v4_pre_topc(k1_pre_topc(X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',t22_tops_1) ).
fof(f15796,plain,
( ~ v4_pre_topc(k1_pre_topc(sK9),sK9)
| spl104_75 ),
inference(avatar_component_clause,[],[f15794]) ).
fof(f15794,plain,
( spl104_75
<=> v4_pre_topc(k1_pre_topc(sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl104_75])]) ).
fof(f15998,plain,
spl104_74,
inference(avatar_contradiction_clause,[],[f15997]) ).
fof(f15997,plain,
( $false
| spl104_74 ),
inference(subsumption_resolution,[],[f15996,f13192]) ).
fof(f15996,plain,
( ~ v2_pre_topc(sK9)
| spl104_74 ),
inference(subsumption_resolution,[],[f15986,f13193]) ).
fof(f15986,plain,
( ~ l1_pre_topc(sK9)
| ~ v2_pre_topc(sK9)
| spl104_74 ),
inference(resolution,[],[f15792,f13208]) ).
fof(f13208,plain,
! [X0] :
( v3_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f12414]) ).
fof(f12414,plain,
! [X0] :
( v3_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f12413]) ).
fof(f12413,plain,
! [X0] :
( v3_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f6940]) ).
fof(f6940,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v3_pre_topc(k1_pre_topc(X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',t52_tops_1) ).
fof(f15792,plain,
( ~ v3_pre_topc(k1_pre_topc(sK9),sK9)
| spl104_74 ),
inference(avatar_component_clause,[],[f15790]) ).
fof(f15790,plain,
( spl104_74
<=> v3_pre_topc(k1_pre_topc(sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl104_74])]) ).
fof(f15797,plain,
( ~ spl104_74
| ~ spl104_75
| ~ spl104_72 ),
inference(avatar_split_clause,[],[f15788,f15506,f15794,f15790]) ).
fof(f15506,plain,
( spl104_72
<=> m1_subset_1(k1_pre_topc(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl104_72])]) ).
fof(f15788,plain,
( ~ v4_pre_topc(k1_pre_topc(sK9),sK9)
| ~ v3_pre_topc(k1_pre_topc(sK9),sK9)
| ~ spl104_72 ),
inference(subsumption_resolution,[],[f15787,f13191]) ).
fof(f13191,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f12914]) ).
fof(f15787,plain,
( ~ v4_pre_topc(k1_pre_topc(sK9),sK9)
| ~ v3_pre_topc(k1_pre_topc(sK9),sK9)
| v3_struct_0(sK9)
| ~ spl104_72 ),
inference(subsumption_resolution,[],[f15786,f13192]) ).
fof(f15786,plain,
( ~ v4_pre_topc(k1_pre_topc(sK9),sK9)
| ~ v3_pre_topc(k1_pre_topc(sK9),sK9)
| ~ v2_pre_topc(sK9)
| v3_struct_0(sK9)
| ~ spl104_72 ),
inference(subsumption_resolution,[],[f15785,f13193]) ).
fof(f15785,plain,
( ~ v4_pre_topc(k1_pre_topc(sK9),sK9)
| ~ v3_pre_topc(k1_pre_topc(sK9),sK9)
| ~ l1_pre_topc(sK9)
| ~ v2_pre_topc(sK9)
| v3_struct_0(sK9)
| ~ spl104_72 ),
inference(subsumption_resolution,[],[f15732,f14110]) ).
fof(f14110,plain,
~ r2_hidden(k1_pre_topc(sK9),k1_lopclset(sK9)),
inference(resolution,[],[f14073,f13830]) ).
fof(f13830,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12804]) ).
fof(f12804,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',t1_subset) ).
fof(f14073,plain,
~ m1_subset_1(k1_pre_topc(sK9),k1_lopclset(sK9)),
inference(subsumption_resolution,[],[f14072,f13191]) ).
fof(f14072,plain,
( ~ m1_subset_1(k1_pre_topc(sK9),k1_lopclset(sK9))
| v3_struct_0(sK9) ),
inference(subsumption_resolution,[],[f14071,f13192]) ).
fof(f14071,plain,
( ~ m1_subset_1(k1_pre_topc(sK9),k1_lopclset(sK9))
| ~ v2_pre_topc(sK9)
| v3_struct_0(sK9) ),
inference(subsumption_resolution,[],[f14049,f13193]) ).
fof(f14049,plain,
( ~ m1_subset_1(k1_pre_topc(sK9),k1_lopclset(sK9))
| ~ l1_pre_topc(sK9)
| ~ v2_pre_topc(sK9)
| v3_struct_0(sK9) ),
inference(superposition,[],[f13194,f13245]) ).
fof(f13245,plain,
! [X0] :
( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f12433]) ).
fof(f12433,plain,
! [X0] :
( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f12432]) ).
fof(f12432,plain,
! [X0] :
( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12369]) ).
fof(f12369,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',t13_lopclset) ).
fof(f13194,plain,
~ m1_subset_1(k1_pre_topc(sK9),u1_struct_0(k6_lopclset(sK9))),
inference(cnf_transformation,[],[f12914]) ).
fof(f15732,plain,
( ~ v4_pre_topc(k1_pre_topc(sK9),sK9)
| ~ v3_pre_topc(k1_pre_topc(sK9),sK9)
| r2_hidden(k1_pre_topc(sK9),k1_lopclset(sK9))
| ~ l1_pre_topc(sK9)
| ~ v2_pre_topc(sK9)
| v3_struct_0(sK9)
| ~ spl104_72 ),
inference(resolution,[],[f15507,f13273]) ).
fof(f13273,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| ~ v3_pre_topc(X1,X0)
| r2_hidden(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f12463]) ).
fof(f12463,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k1_lopclset(X0))
| ~ v4_pre_topc(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f12462]) ).
fof(f12462,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k1_lopclset(X0))
| ~ v4_pre_topc(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12357]) ).
fof(f12357,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) )
=> r2_hidden(X1,k1_lopclset(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',t4_lopclset) ).
fof(f15507,plain,
( m1_subset_1(k1_pre_topc(sK9),k1_zfmisc_1(u1_struct_0(sK9)))
| ~ spl104_72 ),
inference(avatar_component_clause,[],[f15506]) ).
fof(f15724,plain,
( ~ spl104_3
| spl104_72 ),
inference(avatar_contradiction_clause,[],[f15723]) ).
fof(f15723,plain,
( $false
| ~ spl104_3
| spl104_72 ),
inference(subsumption_resolution,[],[f15722,f14061]) ).
fof(f14061,plain,
( l1_struct_0(sK9)
| ~ spl104_3 ),
inference(avatar_component_clause,[],[f14060]) ).
fof(f14060,plain,
( spl104_3
<=> l1_struct_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl104_3])]) ).
fof(f15722,plain,
( ~ l1_struct_0(sK9)
| spl104_72 ),
inference(subsumption_resolution,[],[f15717,f13411]) ).
fof(f13411,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f486]) ).
fof(f486,axiom,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',t4_subset_1) ).
fof(f15717,plain,
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK9)))
| ~ l1_struct_0(sK9)
| spl104_72 ),
inference(superposition,[],[f15508,f13237]) ).
fof(f13237,plain,
! [X0] :
( k1_xboole_0 = k1_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f12428]) ).
fof(f12428,plain,
! [X0] :
( k1_xboole_0 = k1_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6787]) ).
fof(f6787,axiom,
! [X0] :
( l1_struct_0(X0)
=> k1_xboole_0 = k1_pre_topc(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',d2_pre_topc) ).
fof(f15508,plain,
( ~ m1_subset_1(k1_pre_topc(sK9),k1_zfmisc_1(u1_struct_0(sK9)))
| spl104_72 ),
inference(avatar_component_clause,[],[f15506]) ).
fof(f14192,plain,
spl104_3,
inference(avatar_contradiction_clause,[],[f14191]) ).
fof(f14191,plain,
( $false
| spl104_3 ),
inference(subsumption_resolution,[],[f14189,f13193]) ).
fof(f14189,plain,
( ~ l1_pre_topc(sK9)
| spl104_3 ),
inference(resolution,[],[f14062,f13557]) ).
fof(f13557,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f12687]) ).
fof(f12687,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6850]) ).
fof(f6850,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636',dt_l1_pre_topc) ).
fof(f14062,plain,
( ~ l1_struct_0(sK9)
| spl104_3 ),
inference(avatar_component_clause,[],[f14060]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT287+3 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 12:28:30 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.lL0XoliQi5/Vampire---4.8_21636
% 0.89/1.06 % (21881)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2993ds/83Mi)
% 0.89/1.06 % (21875)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2993ds/34Mi)
% 0.89/1.06 % (21876)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2993ds/51Mi)
% 0.89/1.06 % (21877)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.89/1.06 % (21878)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.89/1.06 % (21882)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2993ds/56Mi)
% 0.89/1.06 % (21879)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2993ds/34Mi)
% 0.89/1.06 % (21880)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.89/1.08 % (21878)Instruction limit reached!
% 0.89/1.08 % (21878)------------------------------
% 0.89/1.08 % (21878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/1.08 % (21878)Termination reason: Unknown
% 0.89/1.08 % (21878)Termination phase: SInE selection
% 0.89/1.08
% 0.89/1.08 % (21878)Memory used [KB]: 16698
% 0.89/1.08 % (21878)Time elapsed: 0.024 s
% 0.89/1.08 % (21878)Instructions burned: 34 (million)
% 0.89/1.08 % (21878)------------------------------
% 0.89/1.08 % (21878)------------------------------
% 0.89/1.08 % (21875)Instruction limit reached!
% 0.89/1.08 % (21875)------------------------------
% 0.89/1.08 % (21875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/1.08 % (21875)Termination reason: Unknown
% 0.89/1.08 % (21875)Termination phase: SInE selection
% 0.89/1.08
% 0.89/1.08 % (21875)Memory used [KB]: 16698
% 0.89/1.08 % (21875)Time elapsed: 0.025 s
% 0.89/1.08 % (21875)Instructions burned: 35 (million)
% 0.89/1.08 % (21875)------------------------------
% 0.89/1.08 % (21875)------------------------------
% 0.89/1.08 % (21879)Instruction limit reached!
% 0.89/1.08 % (21879)------------------------------
% 0.89/1.08 % (21879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/1.08 % (21879)Termination reason: Unknown
% 0.89/1.08 % (21879)Termination phase: SInE selection
% 0.89/1.08
% 0.89/1.08 % (21879)Memory used [KB]: 16698
% 0.89/1.08 % (21879)Time elapsed: 0.025 s
% 0.89/1.08 % (21879)Instructions burned: 35 (million)
% 0.89/1.08 % (21879)------------------------------
% 0.89/1.08 % (21879)------------------------------
% 0.89/1.09 % (21883)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2992ds/55Mi)
% 0.89/1.09 % (21884)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2992ds/50Mi)
% 0.89/1.09 % (21885)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2992ds/208Mi)
% 0.89/1.09 % (21880)Instruction limit reached!
% 0.89/1.09 % (21880)------------------------------
% 0.89/1.09 % (21880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/1.09 % (21880)Termination reason: Unknown
% 0.89/1.09 % (21880)Termination phase: SInE selection
% 0.89/1.09
% 0.89/1.09 % (21880)Memory used [KB]: 16812
% 0.89/1.09 % (21880)Time elapsed: 0.031 s
% 0.89/1.09 % (21880)Instructions burned: 45 (million)
% 0.89/1.09 % (21880)------------------------------
% 0.89/1.09 % (21880)------------------------------
% 0.89/1.09 % (21882)Instruction limit reached!
% 0.89/1.09 % (21882)------------------------------
% 0.89/1.09 % (21882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/1.09 % (21882)Termination reason: Unknown
% 0.89/1.09 % (21882)Termination phase: SInE selection
% 0.89/1.09
% 0.89/1.09 % (21882)Memory used [KB]: 16868
% 0.89/1.09 % (21882)Time elapsed: 0.032 s
% 0.89/1.09 % (21882)Instructions burned: 56 (million)
% 0.89/1.09 % (21882)------------------------------
% 0.89/1.09 % (21882)------------------------------
% 0.89/1.09 % (21881)Instruction limit reached!
% 0.89/1.09 % (21881)------------------------------
% 0.89/1.09 % (21881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/1.09 % (21881)Termination reason: Unknown
% 0.89/1.09 % (21881)Termination phase: SInE selection
% 0.89/1.09
% 0.89/1.09 % (21881)Memory used [KB]: 16874
% 0.89/1.09 % (21881)Time elapsed: 0.033 s
% 0.89/1.09 % (21881)Instructions burned: 83 (million)
% 0.89/1.09 % (21881)------------------------------
% 0.89/1.09 % (21881)------------------------------
% 0.89/1.09 % (21876)Instruction limit reached!
% 0.89/1.09 % (21876)------------------------------
% 0.89/1.09 % (21876)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/1.09 % (21876)Termination reason: Unknown
% 0.89/1.09 % (21876)Termination phase: SInE selection
% 0.89/1.09
% 0.89/1.09 % (21876)Memory used [KB]: 16845
% 0.89/1.09 % (21876)Time elapsed: 0.034 s
% 0.89/1.09 % (21876)Instructions burned: 51 (million)
% 0.89/1.09 % (21876)------------------------------
% 0.89/1.09 % (21876)------------------------------
% 0.89/1.09 % (21888)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2992ds/42Mi)
% 0.89/1.09 % (21886)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2992ds/52Mi)
% 0.89/1.09 % (21887)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2992ds/518Mi)
% 1.12/1.10 % (21889)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2992ds/243Mi)
% 1.12/1.10 % (21888)Instruction limit reached!
% 1.12/1.10 % (21888)------------------------------
% 1.12/1.10 % (21888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.10 % (21888)Termination reason: Unknown
% 1.12/1.10 % (21888)Termination phase: Preprocessing 1
% 1.12/1.10
% 1.12/1.10 % (21888)Memory used [KB]: 16887
% 1.12/1.10 % (21888)Time elapsed: 0.013 s
% 1.12/1.10 % (21888)Instructions burned: 44 (million)
% 1.12/1.10 % (21888)------------------------------
% 1.12/1.10 % (21888)------------------------------
% 1.12/1.11 % (21890)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2992ds/117Mi)
% 1.12/1.11 % (21877)Instruction limit reached!
% 1.12/1.11 % (21877)------------------------------
% 1.12/1.11 % (21877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.11 % (21877)Termination reason: Unknown
% 1.12/1.11 % (21877)Termination phase: Preprocessing 1
% 1.12/1.11
% 1.12/1.11 % (21877)Memory used [KB]: 16869
% 1.12/1.11 % (21877)Time elapsed: 0.055 s
% 1.12/1.11 % (21877)Instructions burned: 78 (million)
% 1.12/1.11 % (21877)------------------------------
% 1.12/1.11 % (21877)------------------------------
% 1.12/1.12 % (21891)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2992ds/143Mi)
% 1.12/1.12 % (21884)Instruction limit reached!
% 1.12/1.12 % (21884)------------------------------
% 1.12/1.12 % (21884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.12 % (21884)Termination reason: Unknown
% 1.12/1.12 % (21884)Termination phase: SInE selection
% 1.12/1.12
% 1.12/1.12 % (21884)Memory used [KB]: 16845
% 1.12/1.12 % (21884)Time elapsed: 0.034 s
% 1.12/1.12 % (21884)Instructions burned: 51 (million)
% 1.12/1.12 % (21884)------------------------------
% 1.12/1.12 % (21884)------------------------------
% 1.12/1.12 % (21886)Instruction limit reached!
% 1.12/1.12 % (21886)------------------------------
% 1.12/1.12 % (21886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.12 % (21886)Termination reason: Unknown
% 1.12/1.12 % (21886)Termination phase: SInE selection
% 1.12/1.12
% 1.12/1.12 % (21886)Memory used [KB]: 16884
% 1.12/1.12 % (21886)Time elapsed: 0.030 s
% 1.12/1.12 % (21886)Instructions burned: 53 (million)
% 1.12/1.12 % (21886)------------------------------
% 1.12/1.12 % (21886)------------------------------
% 1.12/1.12 % (21892)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2992ds/93Mi)
% 1.12/1.13 % (21893)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2992ds/62Mi)
% 1.12/1.13 % (21883)Instruction limit reached!
% 1.12/1.13 % (21883)------------------------------
% 1.12/1.13 % (21883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.13 % (21883)Termination reason: Unknown
% 1.12/1.13 % (21883)Termination phase: SInE selection
% 1.12/1.13
% 1.12/1.13 % (21883)Memory used [KB]: 16868
% 1.12/1.13 % (21883)Time elapsed: 0.045 s
% 1.12/1.13 % (21883)Instructions burned: 55 (million)
% 1.12/1.13 % (21883)------------------------------
% 1.12/1.13 % (21883)------------------------------
% 1.12/1.14 % (21894)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2992ds/32Mi)
% 1.12/1.15 % (21893)Instruction limit reached!
% 1.12/1.15 % (21893)------------------------------
% 1.12/1.15 % (21893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.15 % (21893)Termination reason: Unknown
% 1.12/1.15 % (21893)Termination phase: Preprocessing 1
% 1.12/1.15
% 1.12/1.15 % (21893)Memory used [KB]: 16959
% 1.12/1.15 % (21893)Time elapsed: 0.025 s
% 1.12/1.15 % (21893)Instructions burned: 62 (million)
% 1.12/1.15 % (21893)------------------------------
% 1.12/1.15 % (21893)------------------------------
% 1.12/1.15 % (21894)Instruction limit reached!
% 1.12/1.15 % (21894)------------------------------
% 1.12/1.15 % (21894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.15 % (21894)Termination reason: Unknown
% 1.12/1.15 % (21894)Termination phase: SInE selection
% 1.12/1.15
% 1.12/1.15 % (21894)Memory used [KB]: 16699
% 1.12/1.15 % (21894)Time elapsed: 0.015 s
% 1.12/1.15 % (21894)Instructions burned: 32 (million)
% 1.12/1.15 % (21894)------------------------------
% 1.12/1.15 % (21894)------------------------------
% 1.12/1.16 % (21895)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2992ds/1919Mi)
% 1.12/1.16 % (21890)Instruction limit reached!
% 1.12/1.16 % (21890)------------------------------
% 1.12/1.16 % (21890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.16 % (21890)Termination reason: Unknown
% 1.12/1.16 % (21890)Termination phase: Property scanning
% 1.12/1.16
% 1.12/1.16 % (21890)Memory used [KB]: 18209
% 1.12/1.16 % (21890)Time elapsed: 0.055 s
% 1.12/1.16 % (21890)Instructions burned: 117 (million)
% 1.12/1.16 % (21890)------------------------------
% 1.12/1.16 % (21890)------------------------------
% 1.12/1.17 % (21885)Refutation not found, incomplete strategy% (21885)------------------------------
% 1.12/1.17 % (21885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.17 % (21885)Termination reason: Refutation not found, incomplete strategy
% 1.12/1.17
% 1.12/1.17 % (21885)Memory used [KB]: 17073
% 1.12/1.17 % (21885)Time elapsed: 0.081 s
% 1.12/1.17 % (21885)Instructions burned: 125 (million)
% 1.12/1.17 % (21885)------------------------------
% 1.12/1.17 % (21885)------------------------------
% 1.12/1.17 % (21897)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2992ds/53Mi)
% 1.12/1.17 % (21896)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2992ds/55Mi)
% 1.12/1.18 % (21892)Instruction limit reached!
% 1.12/1.18 % (21892)------------------------------
% 1.12/1.18 % (21892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.12/1.18 % (21892)Termination reason: Unknown
% 1.12/1.18 % (21892)Termination phase: Unused predicate definition removal
% 1.12/1.18
% 1.12/1.18 % (21892)Memory used [KB]: 18262
% 1.12/1.18 % (21892)Time elapsed: 0.056 s
% 1.12/1.18 % (21892)Instructions burned: 93 (million)
% 1.12/1.18 % (21892)------------------------------
% 1.12/1.18 % (21892)------------------------------
% 1.81/1.19 % (21898)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2991ds/46Mi)
% 1.81/1.19 % (21897)Instruction limit reached!
% 1.81/1.19 % (21897)------------------------------
% 1.81/1.19 % (21897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.81/1.19 % (21897)Termination reason: Unknown
% 1.81/1.19 % (21897)Termination phase: SInE selection
% 1.81/1.19
% 1.81/1.19 % (21897)Memory used [KB]: 16884
% 1.81/1.19 % (21897)Time elapsed: 0.022 s
% 1.81/1.19 % (21897)Instructions burned: 55 (million)
% 1.81/1.19 % (21897)------------------------------
% 1.81/1.19 % (21897)------------------------------
% 1.81/1.19 % (21899)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2991ds/102Mi)
% 1.81/1.19 % (21900)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2991ds/35Mi)
% 1.81/1.20 % (21891)Instruction limit reached!
% 1.81/1.20 % (21891)------------------------------
% 1.81/1.20 % (21891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.81/1.20 % (21891)Termination reason: Unknown
% 1.81/1.20 % (21891)Termination phase: Preprocessing 2
% 1.81/1.20
% 1.81/1.20 % (21891)Memory used [KB]: 23100
% 1.81/1.20 % (21891)Time elapsed: 0.083 s
% 1.81/1.20 % (21891)Instructions burned: 144 (million)
% 1.81/1.20 % (21891)------------------------------
% 1.81/1.20 % (21891)------------------------------
% 1.81/1.20 % (21898)Instruction limit reached!
% 1.81/1.20 % (21898)------------------------------
% 1.81/1.20 % (21898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.81/1.20 % (21898)Termination reason: Unknown
% 1.81/1.20 % (21898)Termination phase: Preprocessing 1
% 1.81/1.20
% 1.81/1.20 % (21898)Memory used [KB]: 16888
% 1.81/1.20 % (21898)Time elapsed: 0.018 s
% 1.81/1.20 % (21898)Instructions burned: 46 (million)
% 1.81/1.20 % (21898)------------------------------
% 1.81/1.20 % (21898)------------------------------
% 1.81/1.20 % (21896)Instruction limit reached!
% 1.81/1.20 % (21896)------------------------------
% 1.81/1.20 % (21896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.81/1.20 % (21896)Termination reason: Unknown
% 1.81/1.20 % (21896)Termination phase: SInE selection
% 1.81/1.20
% 1.81/1.20 % (21896)Memory used [KB]: 16885
% 1.81/1.20 % (21896)Time elapsed: 0.032 s
% 1.81/1.20 % (21896)Instructions burned: 56 (million)
% 1.81/1.20 % (21896)------------------------------
% 1.81/1.20 % (21896)------------------------------
% 1.81/1.20 % (21901)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2991ds/87Mi)
% 1.81/1.20 % (21902)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2991ds/109Mi)
% 1.81/1.21 % (21900)Instruction limit reached!
% 1.81/1.21 % (21900)------------------------------
% 1.81/1.21 % (21900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.81/1.21 % (21900)Termination reason: Unknown
% 1.81/1.21 % (21903)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2991ds/161Mi)
% 1.81/1.21 % (21900)Termination phase: SInE selection
% 1.81/1.21
% 1.81/1.21 % (21900)Memory used [KB]: 16758
% 1.81/1.21 % (21900)Time elapsed: 0.015 s
% 1.81/1.21 % (21900)Instructions burned: 37 (million)
% 1.81/1.21 % (21900)------------------------------
% 1.81/1.21 % (21900)------------------------------
% 1.81/1.21 % (21904)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2991ds/69Mi)
% 1.81/1.22 % (21889)Instruction limit reached!
% 1.81/1.22 % (21889)------------------------------
% 1.81/1.22 % (21889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.81/1.22 % (21889)Termination reason: Unknown
% 1.81/1.22 % (21889)Termination phase: Property scanning
% 1.81/1.22
% 1.81/1.22 % (21889)Memory used [KB]: 20145
% 1.81/1.22 % (21889)Time elapsed: 0.129 s
% 1.81/1.22 % (21889)Instructions burned: 244 (million)
% 1.81/1.22 % (21889)------------------------------
% 1.81/1.22 % (21889)------------------------------
% 2.01/1.23 % (21913)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2991ds/40Mi)
% 2.01/1.24 % (21887)First to succeed.
% 2.01/1.24 % (21904)Instruction limit reached!
% 2.01/1.24 % (21904)------------------------------
% 2.01/1.24 % (21904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.01/1.24 % (21904)Termination reason: Unknown
% 2.01/1.24 % (21904)Termination phase: Preprocessing 1
% 2.01/1.24
% 2.01/1.24 % (21904)Memory used [KB]: 16961
% 2.01/1.24 % (21904)Time elapsed: 0.031 s
% 2.01/1.24 % (21904)Instructions burned: 70 (million)
% 2.01/1.24 % (21904)------------------------------
% 2.01/1.24 % (21904)------------------------------
% 2.01/1.24 % (21887)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21871"
% 2.06/1.24 % (21887)Refutation found. Thanks to Tanya!
% 2.06/1.24 % SZS status Theorem for Vampire---4
% 2.06/1.24 % SZS output start Proof for Vampire---4
% See solution above
% 2.06/1.24 % (21887)------------------------------
% 2.06/1.24 % (21887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.06/1.24 % (21887)Termination reason: Refutation
% 2.06/1.24
% 2.06/1.24 % (21887)Memory used [KB]: 18956
% 2.06/1.24 % (21887)Time elapsed: 0.148 s
% 2.06/1.24 % (21887)Instructions burned: 275 (million)
% 2.06/1.24 % (21871)Success in time 0.862 s
% 2.06/1.25 % Vampire---4.8 exiting
%------------------------------------------------------------------------------