TSTP Solution File: SWC220-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC220-1 : 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 : n020.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 04:00:42 EDT 2024
% Result : Unsatisfiable 0.64s 0.82s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 15 unt; 0 def)
% Number of atoms : 179 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 241 ( 122 ~; 118 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(subsumption_resolution,[],[f310,f280]) ).
fof(f280,plain,
ssItem(sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f279,f246]) ).
fof(f246,plain,
ssItem(sk6),
inference(subsumption_resolution,[],[f222,f216]) ).
fof(f216,plain,
~ sQ0_eqProxy(nil,sk3),
inference(equality_proxy_replacement,[],[f205,f215]) ).
fof(f215,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f205,plain,
nil != sk3,
inference(definition_unfolding,[],[f192,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_6) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_7) ).
fof(f222,plain,
( ssItem(sk6)
| sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f198,f215]) ).
fof(f198,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_13) ).
fof(f279,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f278,f247]) ).
fof(f247,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f223,f216]) ).
fof(f223,plain,
( ssList(sk7)
| sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f199,f215]) ).
fof(f199,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_14) ).
fof(f278,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f275,f248]) ).
fof(f248,plain,
ssList(sk8),
inference(subsumption_resolution,[],[f224,f216]) ).
fof(f224,plain,
( ssList(sk8)
| sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f200,f215]) ).
fof(f200,axiom,
( ssList(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_15) ).
fof(f275,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(resolution,[],[f217,f249]) ).
fof(f249,plain,
sQ0_eqProxy(sk3,app(app(sk7,cons(sk6,nil)),sk8)),
inference(subsumption_resolution,[],[f225,f216]) ).
fof(f225,plain,
( sQ0_eqProxy(sk3,app(app(sk7,cons(sk6,nil)),sk8))
| sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f201,f215,f215]) ).
fof(f201,axiom,
( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_16) ).
fof(f217,plain,
! [X8,X6,X7] :
( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
| ssItem(sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f206,f215]) ).
fof(f206,plain,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f193,f191]) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_8) ).
fof(f310,plain,
~ ssItem(sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f309,f299]) ).
fof(f299,plain,
leq(sk6,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f298,f246]) ).
fof(f298,plain,
( leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f297,f247]) ).
fof(f297,plain,
( leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f294,f248]) ).
fof(f294,plain,
( leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(resolution,[],[f220,f249]) ).
fof(f220,plain,
! [X8,X6,X7] :
( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
| leq(X6,sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f209,f215]) ).
fof(f209,plain,
! [X8,X6,X7] :
( leq(X6,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f196,f191]) ).
fof(f196,axiom,
! [X8,X6,X7] :
( leq(X6,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_11) ).
fof(f309,plain,
( ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk5(sk8,sk7,sk6)) ),
inference(subsumption_resolution,[],[f308,f286]) ).
fof(f286,plain,
memberP(sk7,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f285,f246]) ).
fof(f285,plain,
( memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f284,f247]) ).
fof(f284,plain,
( memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f281,f248]) ).
fof(f281,plain,
( memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(resolution,[],[f218,f249]) ).
fof(f218,plain,
! [X8,X6,X7] :
( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
| memberP(X7,sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f207,f215]) ).
fof(f207,plain,
! [X8,X6,X7] :
( memberP(X7,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f194,f191]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( memberP(X7,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_9) ).
fof(f308,plain,
( ~ memberP(sk7,sk5(sk8,sk7,sk6))
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk5(sk8,sk7,sk6)) ),
inference(subsumption_resolution,[],[f306,f293]) ).
fof(f293,plain,
memberP(sk8,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f292,f246]) ).
fof(f292,plain,
( memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f291,f247]) ).
fof(f291,plain,
( memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f288,f248]) ).
fof(f288,plain,
( memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(resolution,[],[f219,f249]) ).
fof(f219,plain,
! [X8,X6,X7] :
( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
| memberP(X8,sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f208,f215]) ).
fof(f208,plain,
! [X8,X6,X7] :
( memberP(X8,sk5(X8,X7,X6))
| sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f195,f191]) ).
fof(f195,axiom,
! [X8,X6,X7] :
( memberP(X8,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_10) ).
fof(f306,plain,
( ~ memberP(sk8,sk5(sk8,sk7,sk6))
| ~ memberP(sk7,sk5(sk8,sk7,sk6))
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk5(sk8,sk7,sk6)) ),
inference(resolution,[],[f305,f250]) ).
fof(f250,plain,
! [X6] :
( leq(X6,sk6)
| ~ memberP(sk8,X6)
| ~ memberP(sk7,X6)
| ~ leq(sk6,X6)
| ~ ssItem(X6) ),
inference(subsumption_resolution,[],[f226,f216]) ).
fof(f226,plain,
! [X6] :
( ~ leq(sk6,X6)
| ~ memberP(sk8,X6)
| ~ memberP(sk7,X6)
| leq(X6,sk6)
| ~ ssItem(X6)
| sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f202,f215]) ).
fof(f202,axiom,
! [X6] :
( ~ leq(sk6,X6)
| ~ memberP(sk8,X6)
| ~ memberP(sk7,X6)
| leq(X6,sk6)
| ~ ssItem(X6)
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_17) ).
fof(f305,plain,
~ leq(sk5(sk8,sk7,sk6),sk6),
inference(subsumption_resolution,[],[f304,f246]) ).
fof(f304,plain,
( ~ leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f303,f247]) ).
fof(f303,plain,
( ~ leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f300,f248]) ).
fof(f300,plain,
( ~ leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(resolution,[],[f221,f249]) ).
fof(f221,plain,
! [X8,X6,X7] :
( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
| ~ leq(sk5(X8,X7,X6),X6)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f210,f215]) ).
fof(f210,plain,
! [X8,X6,X7] :
( ~ leq(sk5(X8,X7,X6),X6)
| sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f197,f191]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ leq(sk5(X8,X7,X6),X6)
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.vWJ6gJ786h/Vampire---4.8_23756',co1_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:18:17 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 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.vWJ6gJ786h/Vampire---4.8_23756
% 0.64/0.81 % (23958)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 (2995ds/51Mi)
% 0.64/0.81 % (23964)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 (2995ds/56Mi)
% 0.64/0.81 % (23959)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.82 % (23957)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 (2995ds/34Mi)
% 0.64/0.82 % (23960)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.82 % (23961)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 (2995ds/34Mi)
% 0.64/0.82 % (23963)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 (2995ds/83Mi)
% 0.64/0.82 % (23962)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.82 % (23964)First to succeed.
% 0.64/0.82 % (23964)Refutation found. Thanks to Tanya!
% 0.64/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.64/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.82 % (23964)------------------------------
% 0.64/0.82 % (23964)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (23964)Termination reason: Refutation
% 0.64/0.82
% 0.64/0.82 % (23964)Memory used [KB]: 1199
% 0.64/0.82 % (23964)Time elapsed: 0.005 s
% 0.64/0.82 % (23964)Instructions burned: 7 (million)
% 0.64/0.82 % (23964)------------------------------
% 0.64/0.82 % (23964)------------------------------
% 0.64/0.82 % (23921)Success in time 0.433 s
% 0.64/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------