TSTP Solution File: SWC322-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC322-1 : 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 : n016.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 04:38:08 EDT 2024

% Result   : Unsatisfiable 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   56 (   3 unt;   0 def)
%            Number of atoms       :  124 (  31 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  120 (  52   ~;  61   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f280,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f254,f255,f260,f265,f270,f271,f272,f273,f279]) ).

fof(f279,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5
    | spl1_6 ),
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5
    | spl1_6 ),
    inference(subsumption_resolution,[],[f277,f253]) ).

fof(f253,plain,
    ( ssItem(sk5)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl1_3
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f277,plain,
    ( ~ ssItem(sk5)
    | ~ spl1_4
    | ~ spl1_5
    | spl1_6 ),
    inference(subsumption_resolution,[],[f276,f259]) ).

fof(f259,plain,
    ( ssList(sk6)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl1_4
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f276,plain,
    ( ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ spl1_5
    | spl1_6 ),
    inference(subsumption_resolution,[],[f275,f269]) ).

fof(f269,plain,
    ( ~ sQ0_eqProxy(sk3,app(cons(sk5,nil),sk6))
    | spl1_6 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl1_6
  <=> sQ0_eqProxy(sk3,app(cons(sk5,nil),sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f275,plain,
    ( sQ0_eqProxy(sk3,app(cons(sk5,nil),sk6))
    | ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ spl1_5 ),
    inference(resolution,[],[f215,f264]) ).

fof(f264,plain,
    ( sQ0_eqProxy(sk4,app(sk6,cons(sk5,nil)))
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl1_5
  <=> sQ0_eqProxy(sk4,app(sk6,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f215,plain,
    ! [X6,X7] :
      ( ~ sQ0_eqProxy(sk4,app(X7,cons(X6,nil)))
      | sQ0_eqProxy(sk3,app(cons(X6,nil),X7))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(equality_proxy_replacement,[],[f192,f214,f214]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f192,axiom,
    ! [X6,X7] :
      ( sk4 != app(X7,cons(X6,nil))
      | sk3 = app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f273,plain,
    ( ~ spl1_6
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f224,f242,f267]) ).

fof(f242,plain,
    ( spl1_1
  <=> sQ0_eqProxy(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f224,plain,
    ( ~ sQ0_eqProxy(nil,sk3)
    | ~ sQ0_eqProxy(sk3,app(cons(sk5,nil),sk6)) ),
    inference(equality_proxy_replacement,[],[f211,f214,f214]) ).

fof(f211,plain,
    ( nil != sk3
    | sk3 != app(cons(sk5,nil),sk6) ),
    inference(definition_unfolding,[],[f201,f191,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f201,axiom,
    ( nil != sk1
    | sk1 != app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f272,plain,
    ( spl1_5
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f223,f242,f262]) ).

fof(f223,plain,
    ( ~ sQ0_eqProxy(nil,sk3)
    | sQ0_eqProxy(sk4,app(sk6,cons(sk5,nil))) ),
    inference(equality_proxy_replacement,[],[f210,f214,f214]) ).

fof(f210,plain,
    ( nil != sk3
    | sk4 = app(sk6,cons(sk5,nil)) ),
    inference(definition_unfolding,[],[f200,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f200,axiom,
    ( nil != sk1
    | sk2 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f271,plain,
    ( spl1_4
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f222,f242,f257]) ).

fof(f222,plain,
    ( ~ sQ0_eqProxy(nil,sk3)
    | ssList(sk6) ),
    inference(equality_proxy_replacement,[],[f209,f214]) ).

fof(f209,plain,
    ( nil != sk3
    | ssList(sk6) ),
    inference(definition_unfolding,[],[f199,f191]) ).

fof(f199,axiom,
    ( nil != sk1
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f270,plain,
    ( ~ spl1_6
    | spl1_2 ),
    inference(avatar_split_clause,[],[f221,f246,f267]) ).

fof(f246,plain,
    ( spl1_2
  <=> sQ0_eqProxy(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f221,plain,
    ( sQ0_eqProxy(nil,sk4)
    | ~ sQ0_eqProxy(sk3,app(cons(sk5,nil),sk6)) ),
    inference(equality_proxy_replacement,[],[f208,f214,f214]) ).

fof(f208,plain,
    ( nil = sk4
    | sk3 != app(cons(sk5,nil),sk6) ),
    inference(definition_unfolding,[],[f198,f190,f191]) ).

fof(f198,axiom,
    ( nil = sk2
    | sk1 != app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f265,plain,
    ( spl1_5
    | spl1_2 ),
    inference(avatar_split_clause,[],[f220,f246,f262]) ).

fof(f220,plain,
    ( sQ0_eqProxy(nil,sk4)
    | sQ0_eqProxy(sk4,app(sk6,cons(sk5,nil))) ),
    inference(equality_proxy_replacement,[],[f207,f214,f214]) ).

fof(f207,plain,
    ( nil = sk4
    | sk4 = app(sk6,cons(sk5,nil)) ),
    inference(definition_unfolding,[],[f197,f190,f190]) ).

fof(f197,axiom,
    ( nil = sk2
    | sk2 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f260,plain,
    ( spl1_4
    | spl1_2 ),
    inference(avatar_split_clause,[],[f219,f246,f257]) ).

fof(f219,plain,
    ( sQ0_eqProxy(nil,sk4)
    | ssList(sk6) ),
    inference(equality_proxy_replacement,[],[f206,f214]) ).

fof(f206,plain,
    ( nil = sk4
    | ssList(sk6) ),
    inference(definition_unfolding,[],[f196,f190]) ).

fof(f196,axiom,
    ( nil = sk2
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f255,plain,
    ( spl1_3
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f218,f242,f251]) ).

fof(f218,plain,
    ( ~ sQ0_eqProxy(nil,sk3)
    | ssItem(sk5) ),
    inference(equality_proxy_replacement,[],[f205,f214]) ).

fof(f205,plain,
    ( nil != sk3
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f195,f191]) ).

fof(f195,axiom,
    ( nil != sk1
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f254,plain,
    ( spl1_3
    | spl1_2 ),
    inference(avatar_split_clause,[],[f217,f246,f251]) ).

fof(f217,plain,
    ( sQ0_eqProxy(nil,sk4)
    | ssItem(sk5) ),
    inference(equality_proxy_replacement,[],[f204,f214]) ).

fof(f204,plain,
    ( nil = sk4
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f194,axiom,
    ( nil = sk2
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f249,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f216,f246,f242]) ).

fof(f216,plain,
    ( ~ sQ0_eqProxy(nil,sk4)
    | sQ0_eqProxy(nil,sk3) ),
    inference(equality_proxy_replacement,[],[f193,f214,f214]) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC322-1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n016.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   : Sun May 19 03:55:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.75  % (13068)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)
% 0.59/0.75  % (13069)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 theBenchmark for (2996ds/83Mi)
% 0.59/0.75  % (13070)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)
% 0.59/0.75  % (13064)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)
% 0.59/0.75  % (13066)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)
% 0.59/0.75  % (13065)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.75  % (13067)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)
% 0.59/0.75  % (13063)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)
% 0.59/0.75  % (13070)First to succeed.
% 0.59/0.75  % (13063)Also succeeded, but the first one will report.
% 0.59/0.75  % (13065)Also succeeded, but the first one will report.
% 0.59/0.75  % (13070)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13062"
% 0.59/0.75  % (13068)Also succeeded, but the first one will report.
% 0.59/0.75  % (13070)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.59/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.75  % (13070)------------------------------
% 0.59/0.75  % (13070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (13070)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (13070)Memory used [KB]: 1185
% 0.59/0.75  % (13070)Time elapsed: 0.005 s
% 0.59/0.75  % (13070)Instructions burned: 5 (million)
% 0.59/0.75  % (13062)Success in time 0.376 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------