TSTP Solution File: SWC153-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n006.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 : Wed May 1 04:00:07 EDT 2024
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 61 ( 13 unt; 0 def)
% Number of atoms : 234 ( 7 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 341 ( 168 ~; 167 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f331,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f258,f292,f326,f330]) ).
fof(f330,plain,
( ~ spl1_1
| ~ spl1_3
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl1_1
| ~ spl1_3
| spl1_4 ),
inference(subsumption_resolution,[],[f328,f253]) ).
fof(f253,plain,
( ~ leq(sk10,sk6)
| spl1_4 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl1_4
<=> leq(sk10,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f328,plain,
( leq(sk10,sk6)
| ~ spl1_1
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f327,f239]) ).
fof(f239,plain,
( ssItem(sk10)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl1_1
<=> ssItem(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f327,plain,
( ~ ssItem(sk10)
| leq(sk10,sk6)
| ~ spl1_3 ),
inference(resolution,[],[f314,f248]) ).
fof(f248,plain,
( memberP(sk8,sk10)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl1_3
<=> memberP(sk8,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f314,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6) ),
inference(subsumption_resolution,[],[f313,f195]) ).
fof(f195,axiom,
ssItem(sk5),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_10) ).
fof(f313,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f312,f196]) ).
fof(f196,axiom,
ssItem(sk6),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_11) ).
fof(f312,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f311,f197]) ).
fof(f197,axiom,
ssList(sk7),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_12) ).
fof(f311,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f310,f198]) ).
fof(f198,axiom,
ssList(sk8),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_13) ).
fof(f310,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f309,f199]) ).
fof(f199,axiom,
ssList(sk9),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_14) ).
fof(f309,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f306,f201]) ).
fof(f201,axiom,
leq(sk6,sk5),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_16) ).
fof(f306,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[],[f215,f216]) ).
fof(f216,plain,
sQ0_eqProxy(sk3,app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)),
inference(equality_proxy_replacement,[],[f207,f212]) ).
fof(f212,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f207,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f200,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_6) ).
fof(f200,axiom,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_15) ).
fof(f215,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ sQ0_eqProxy(sk3,app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10))
| ~ memberP(X9,X11)
| ~ ssItem(X11)
| ~ leq(X7,X6)
| leq(X11,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f194,f212]) ).
fof(f194,axiom,
! [X10,X11,X8,X6,X9,X7] :
( leq(X11,X7)
| ~ memberP(X9,X11)
| ~ ssItem(X11)
| ~ leq(X7,X6)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_9) ).
fof(f326,plain,
( spl1_5
| ~ spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f325,f246,f237,f255]) ).
fof(f255,plain,
( spl1_5
<=> leq(sk5,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f325,plain,
( leq(sk5,sk10)
| ~ spl1_1
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f324,f239]) ).
fof(f324,plain,
( ~ ssItem(sk10)
| leq(sk5,sk10)
| ~ spl1_3 ),
inference(resolution,[],[f305,f248]) ).
fof(f305,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0) ),
inference(subsumption_resolution,[],[f304,f195]) ).
fof(f304,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f303,f196]) ).
fof(f303,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f302,f197]) ).
fof(f302,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f301,f198]) ).
fof(f301,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f300,f199]) ).
fof(f300,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f297,f201]) ).
fof(f297,plain,
! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[],[f214,f216]) ).
fof(f214,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ sQ0_eqProxy(sk3,app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10))
| ~ memberP(X9,X11)
| ~ ssItem(X11)
| ~ leq(X7,X6)
| leq(X6,X11)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f193,f212]) ).
fof(f193,axiom,
! [X10,X11,X8,X6,X9,X7] :
( leq(X6,X11)
| ~ memberP(X9,X11)
| ~ ssItem(X11)
| ~ leq(X7,X6)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_8) ).
fof(f292,plain,
spl1_2,
inference(avatar_split_clause,[],[f291,f241]) ).
fof(f241,plain,
( spl1_2
<=> leq(sk5,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f291,plain,
leq(sk5,sk6),
inference(subsumption_resolution,[],[f290,f195]) ).
fof(f290,plain,
( leq(sk5,sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f289,f196]) ).
fof(f289,plain,
( leq(sk5,sk6)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f288,f197]) ).
fof(f288,plain,
( leq(sk5,sk6)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f287,f198]) ).
fof(f287,plain,
( leq(sk5,sk6)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f267,f199]) ).
fof(f267,plain,
( leq(sk5,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f264,f201]) ).
fof(f264,plain,
( ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[],[f213,f216]) ).
fof(f213,plain,
! [X10,X8,X6,X9,X7] :
( ~ sQ0_eqProxy(sk3,app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10))
| ~ leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f192,f212]) ).
fof(f192,axiom,
! [X10,X8,X6,X9,X7] :
( leq(X6,X7)
| ~ leq(X7,X6)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_7) ).
fof(f258,plain,
( ~ spl1_4
| ~ spl1_5
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f204,f241,f255,f251]) ).
fof(f204,axiom,
( ~ leq(sk5,sk6)
| ~ leq(sk5,sk10)
| ~ leq(sk10,sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_19) ).
fof(f249,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f203,f241,f246]) ).
fof(f203,axiom,
( ~ leq(sk5,sk6)
| memberP(sk8,sk10) ),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_18) ).
fof(f244,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f202,f241,f237]) ).
fof(f202,axiom,
( ~ leq(sk5,sk6)
| ssItem(sk10) ),
file('/export/starexec/sandbox2/tmp/tmp.Ky5LnH7Wsl/Vampire---4.8_32512',co1_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 18:15:50 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 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.Ky5LnH7Wsl/Vampire---4.8_32512
% 0.55/0.75 % (32697)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 (2996ds/83Mi)
% 0.55/0.75 % (32698)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 (2996ds/56Mi)
% 0.55/0.76 % (32691)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 (2996ds/34Mi)
% 0.55/0.76 % (32693)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (32692)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 (2996ds/51Mi)
% 0.55/0.76 % (32694)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.76 % (32695)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 (2996ds/34Mi)
% 0.55/0.76 % (32696)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.76 % (32698)First to succeed.
% 0.55/0.76 % (32698)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (32698)------------------------------
% 0.55/0.76 % (32698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (32698)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (32698)Memory used [KB]: 1223
% 0.55/0.76 % (32698)Time elapsed: 0.004 s
% 0.55/0.76 % (32698)Instructions burned: 7 (million)
% 0.55/0.76 % (32698)------------------------------
% 0.55/0.76 % (32698)------------------------------
% 0.55/0.76 % (32676)Success in time 0.393 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------