TSTP Solution File: SWC312-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC312-1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Tue May 21 04:38:03 EDT 2024
% Result : Unsatisfiable 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 51 ( 3 unt; 0 def)
% Number of atoms : 139 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 171 ( 83 ~; 79 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f256,f261,f266,f271,f272,f276,f277,f278,f292]) ).
fof(f292,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| ~ spl1_3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8 ),
inference(subsumption_resolution,[],[f290,f265]) ).
fof(f265,plain,
( sQ0_eqProxy(sk4,app(cons(sk5,nil),sk6))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl1_6
<=> sQ0_eqProxy(sk4,app(cons(sk5,nil),sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f290,plain,
( ~ sQ0_eqProxy(sk4,app(cons(sk5,nil),sk6))
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_8 ),
inference(subsumption_resolution,[],[f289,f260]) ).
fof(f260,plain,
( ssList(sk6)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl1_5
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f289,plain,
( ~ ssList(sk6)
| ~ sQ0_eqProxy(sk4,app(cons(sk5,nil),sk6))
| ~ spl1_3
| ~ spl1_7
| ~ spl1_8 ),
inference(subsumption_resolution,[],[f286,f251]) ).
fof(f251,plain,
( ssItem(sk5)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl1_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f286,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ sQ0_eqProxy(sk4,app(cons(sk5,nil),sk6))
| ~ spl1_7
| ~ spl1_8 ),
inference(resolution,[],[f275,f270]) ).
fof(f270,plain,
( sQ0_eqProxy(sk3,app(sk6,cons(sk5,nil)))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl1_7
<=> sQ0_eqProxy(sk3,app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f275,plain,
( ! [X6,X7] :
( ~ sQ0_eqProxy(sk3,app(X7,cons(X6,nil)))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ sQ0_eqProxy(sk4,app(cons(X6,nil),X7)) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl1_8
<=> ! [X6,X7] :
( ~ sQ0_eqProxy(sk3,app(X7,cons(X6,nil)))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ sQ0_eqProxy(sk4,app(cons(X6,nil),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f278,plain,
( ~ spl1_1
| spl1_8 ),
inference(avatar_split_clause,[],[f218,f274,f240]) ).
fof(f240,plain,
( spl1_1
<=> sQ0_eqProxy(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f218,plain,
! [X6,X7] :
( ~ sQ0_eqProxy(sk3,app(X7,cons(X6,nil)))
| ~ sQ0_eqProxy(sk4,app(cons(X6,nil),X7))
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f206,f211,f211,f211]) ).
fof(f211,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f206,plain,
! [X6,X7] :
( sk3 != app(X7,cons(X6,nil))
| sk4 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| nil != sk3 ),
inference(definition_unfolding,[],[f200,f191,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f200,axiom,
! [X6,X7] :
( sk1 != app(X7,cons(X6,nil))
| sk2 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f277,plain,
( ~ spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f217,f253,f240]) ).
fof(f253,plain,
( spl1_4
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f217,plain,
( neq(sk4,nil)
| ~ sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f205,f211]) ).
fof(f205,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f199,f190,f191]) ).
fof(f199,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f276,plain,
( spl1_2
| spl1_8 ),
inference(avatar_split_clause,[],[f216,f274,f244]) ).
fof(f244,plain,
( spl1_2
<=> sQ0_eqProxy(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f216,plain,
! [X6,X7] :
( ~ sQ0_eqProxy(sk3,app(X7,cons(X6,nil)))
| ~ sQ0_eqProxy(sk4,app(cons(X6,nil),X7))
| ~ ssList(X7)
| ~ ssItem(X6)
| sQ0_eqProxy(nil,sk4) ),
inference(equality_proxy_replacement,[],[f204,f211,f211,f211]) ).
fof(f204,plain,
! [X6,X7] :
( sk3 != app(X7,cons(X6,nil))
| sk4 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| nil = sk4 ),
inference(definition_unfolding,[],[f198,f191,f190,f190]) ).
fof(f198,axiom,
! [X6,X7] :
( sk1 != app(X7,cons(X6,nil))
| sk2 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f272,plain,
( spl1_2
| spl1_4 ),
inference(avatar_split_clause,[],[f215,f253,f244]) ).
fof(f215,plain,
( neq(sk4,nil)
| sQ0_eqProxy(nil,sk4) ),
inference(equality_proxy_replacement,[],[f203,f211]) ).
fof(f203,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f197,f190,f190]) ).
fof(f197,axiom,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f271,plain,
( spl1_7
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f214,f253,f268]) ).
fof(f214,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy(sk3,app(sk6,cons(sk5,nil))) ),
inference(equality_proxy_replacement,[],[f196,f211]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f266,plain,
( spl1_6
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f213,f253,f263]) ).
fof(f213,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy(sk4,app(cons(sk5,nil),sk6)) ),
inference(equality_proxy_replacement,[],[f195,f211]) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f261,plain,
( spl1_5
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f194,f253,f258]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f256,plain,
( spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f193,f253,f249]) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f247,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f212,f244,f240]) ).
fof(f212,plain,
( ~ sQ0_eqProxy(nil,sk4)
| sQ0_eqProxy(nil,sk3) ),
inference(equality_proxy_replacement,[],[f192,f211,f211]) ).
fof(f192,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC312-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n009.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 02:57:23 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.75 % (18927)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.58/0.75 % (18922)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.75 % (18920)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.75 % (18923)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.75 % (18921)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 theBenchmark for (2996ds/51Mi)
% 0.58/0.75 % (18924)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.75 % (18925)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.75 % (18927)First to succeed.
% 0.58/0.75 % (18927)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18916"
% 0.58/0.75 % (18927)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Unsatisfiable for theBenchmark
% 0.58/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.75 % (18927)------------------------------
% 0.58/0.75 % (18927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (18927)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (18927)Memory used [KB]: 1208
% 0.58/0.75 % (18927)Time elapsed: 0.003 s
% 0.58/0.75 % (18927)Instructions burned: 5 (million)
% 0.58/0.75 % (18916)Success in time 0.388 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------