TSTP Solution File: SWC279-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC279-1 : 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 : n028.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 09:49:56 EDT 2024
% Result : Unsatisfiable 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 45 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 240 ( 6 equ)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 150 ( 72 ~; 73 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 118 ( 118 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 28 ( 27 !; 0 ?; 28 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_20,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f286,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f252,f257,f258,f281,f285]) ).
tff(f285,plain,
( ~ spl1_1
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f284]) ).
tff(f284,plain,
( $false
| ~ spl1_1
| spl1_4 ),
inference(subsumption_resolution,[],[f283,f242]) ).
tff(f242,plain,
( memberP(sk6,sk8)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f240]) ).
tff(f240,plain,
( spl1_1
<=> memberP(sk6,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f283,plain,
( ~ memberP(sk6,sk8)
| spl1_4 ),
inference(subsumption_resolution,[],[f282,f198]) ).
tff(f198,axiom,
ssItem(sk8),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_13) ).
tff(f282,plain,
( ~ ssItem(sk8)
| ~ memberP(sk6,sk8)
| spl1_4 ),
inference(resolution,[],[f276,f256]) ).
tff(f256,plain,
( ~ leq(sk8,sk5)
| spl1_4 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f254,plain,
( spl1_4
<=> leq(sk8,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f276,plain,
! [X0: $i] :
( leq(X0,sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0) ),
inference(subsumption_resolution,[],[f275,f194]) ).
tff(f194,axiom,
ssItem(sk5),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_9) ).
tff(f275,plain,
! [X0: $i] :
( leq(X0,sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f274,f195]) ).
tff(f195,axiom,
ssList(sk6),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_10) ).
tff(f274,plain,
! [X0: $i] :
( leq(X0,sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f273,f196]) ).
tff(f196,axiom,
ssList(sk7),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_11) ).
tff(f273,plain,
! [X0: $i] :
( leq(X0,sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[],[f213,f214]) ).
tff(f214,plain,
sQ0_eqProxy($i,sk3,app(app(sk6,cons(sk5,nil)),sk7)),
inference(equality_proxy_replacement,[],[f205,f211]) ).
tff(f211,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f205,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f197,f191]) ).
tff(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_6) ).
tff(f197,axiom,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_12) ).
tff(f213,plain,
! [X8: $i,X6: $i,X9: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk3,app(app(X7,cons(X6,nil)),X8))
| leq(X9,X6)
| ~ ssItem(X9)
| ~ memberP(X7,X9)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f193,f211]) ).
tff(f193,axiom,
! [X8: $i,X6: $i,X9: $i,X7: $i] :
( ~ memberP(X7,X9)
| leq(X9,X6)
| ~ ssItem(X9)
| ( sk3 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_8) ).
tff(f281,plain,
( ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f278,f249,f244]) ).
tff(f244,plain,
( spl1_2
<=> memberP(sk7,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f249,plain,
( spl1_3
<=> leq(sk5,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f278,plain,
( ~ memberP(sk7,sk8)
| spl1_3 ),
inference(subsumption_resolution,[],[f277,f198]) ).
tff(f277,plain,
( ~ ssItem(sk8)
| ~ memberP(sk7,sk8)
| spl1_3 ),
inference(resolution,[],[f272,f251]) ).
tff(f251,plain,
( ~ leq(sk5,sk8)
| spl1_3 ),
inference(avatar_component_clause,[],[f249]) ).
tff(f272,plain,
! [X0: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(subsumption_resolution,[],[f271,f194]) ).
tff(f271,plain,
! [X0: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f270,f195]) ).
tff(f270,plain,
! [X0: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f269,f196]) ).
tff(f269,plain,
! [X0: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[],[f212,f214]) ).
tff(f212,plain,
! [X8: $i,X6: $i,X9: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk3,app(app(X7,cons(X6,nil)),X8))
| leq(X6,X9)
| ~ ssItem(X9)
| ~ memberP(X8,X9)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f192,f211]) ).
tff(f192,axiom,
! [X8: $i,X6: $i,X9: $i,X7: $i] :
( ~ memberP(X8,X9)
| leq(X6,X9)
| ~ ssItem(X9)
| ( sk3 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_7) ).
tff(f258,plain,
( ~ spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f202,f249,f254]) ).
tff(f202,axiom,
( ~ leq(sk5,sk8)
| ~ leq(sk8,sk5) ),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_17) ).
tff(f257,plain,
( ~ spl1_4
| spl1_2 ),
inference(avatar_split_clause,[],[f201,f244,f254]) ).
tff(f201,axiom,
( memberP(sk7,sk8)
| ~ leq(sk8,sk5) ),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_16) ).
tff(f252,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f200,f249,f240]) ).
tff(f200,axiom,
( ~ leq(sk5,sk8)
| memberP(sk6,sk8) ),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_15) ).
tff(f247,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f199,f244,f240]) ).
tff(f199,axiom,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
file('/export/starexec/sandbox2/tmp/tmp.XzZ0SZosB2/Vampire---4.8_5468',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWC279-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14 % 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
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:31:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.36 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.XzZ0SZosB2/Vampire---4.8_5468
% 0.54/0.74 % (5578)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)
% 0.54/0.75 % (5582)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)
% 0.54/0.75 % (5579)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)
% 0.54/0.75 % (5585)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)
% 0.54/0.75 % (5581)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)
% 0.54/0.75 % (5584)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)
% 0.54/0.75 % (5583)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)
% 0.54/0.75 % (5580)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (5578)First to succeed.
% 0.54/0.75 % (5578)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5577"
% 0.54/0.75 % (5585)Also succeeded, but the first one will report.
% 0.54/0.75 % (5578)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.54/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75 % (5578)------------------------------
% 0.54/0.75 % (5578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (5578)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (5578)Memory used [KB]: 1199
% 0.54/0.75 % (5578)Time elapsed: 0.003 s
% 0.54/0.75 % (5578)Instructions burned: 6 (million)
% 0.54/0.75 % (5577)Success in time 0.386 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------