TSTP Solution File: SWC422-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC422-1 : 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 : n005.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 04:02:03 EDT 2024

% Result   : Unsatisfiable 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :   62 (   9 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   75 (  40   ~;  34   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f263,plain,
    $false,
    inference(subsumption_resolution,[],[f262,f250]) ).

fof(f250,plain,
    ssItem(sk5),
    inference(subsumption_resolution,[],[f201,f248]) ).

fof(f248,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_7) ).

fof(f201,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_16) ).

fof(f262,plain,
    ~ ssItem(sk5),
    inference(subsumption_resolution,[],[f261,f251]) ).

fof(f251,plain,
    ssList(sk6),
    inference(subsumption_resolution,[],[f202,f248]) ).

fof(f202,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_17) ).

fof(f261,plain,
    ( ~ ssList(sk6)
    | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f260,f252]) ).

fof(f252,plain,
    ssList(sk7),
    inference(subsumption_resolution,[],[f203,f248]) ).

fof(f203,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_18) ).

fof(f260,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk6)
    | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f257,f253]) ).

fof(f253,plain,
    sQ0_eqProxy(sk4,app(app(sk6,cons(sk5,nil)),sk7)),
    inference(subsumption_resolution,[],[f226,f248]) ).

fof(f226,plain,
    ( ~ neq(sk4,nil)
    | sQ0_eqProxy(sk4,app(app(sk6,cons(sk5,nil)),sk7)) ),
    inference(equality_proxy_replacement,[],[f204,f221]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f204,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_19) ).

fof(f257,plain,
    ( ~ sQ0_eqProxy(sk4,app(app(sk6,cons(sk5,nil)),sk7))
    | ~ ssList(sk7)
    | ~ ssList(sk6)
    | ~ ssItem(sk5) ),
    inference(resolution,[],[f249,f254]) ).

fof(f254,plain,
    sQ0_eqProxy(sk3,app(app(sk7,cons(sk5,nil)),sk6)),
    inference(subsumption_resolution,[],[f227,f248]) ).

fof(f227,plain,
    ( ~ neq(sk4,nil)
    | sQ0_eqProxy(sk3,app(app(sk7,cons(sk5,nil)),sk6)) ),
    inference(equality_proxy_replacement,[],[f205,f221]) ).

fof(f205,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(app(sk7,cons(sk5,nil)),sk6) ),
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_20) ).

fof(f249,plain,
    ! [X8,X6,X7] :
      ( ~ sQ0_eqProxy(sk3,app(app(X8,cons(X6,nil)),X7))
      | ~ sQ0_eqProxy(sk4,app(app(X7,cons(X6,nil)),X8))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(subsumption_resolution,[],[f225,f248]) ).

fof(f225,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ sQ0_eqProxy(sk3,app(app(X8,cons(X6,nil)),X7))
      | ~ sQ0_eqProxy(sk4,app(app(X7,cons(X6,nil)),X8))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(equality_proxy_replacement,[],[f216,f221,f221]) ).

fof(f216,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | sk3 != app(app(X8,cons(X6,nil)),X7)
      | sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f200,f191,f190]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_6) ).

fof(f200,axiom,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | sk1 != app(app(X8,cons(X6,nil)),X7)
      | sk2 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.1uO0xGsutr/Vampire---4.8_22904',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWC422-1 : 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
% 0.15/0.36  % Computer : n005.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 18:17:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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.1uO0xGsutr/Vampire---4.8_22904
% 0.57/0.76  % (23076)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)
% 0.57/0.76  % (23074)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)
% 0.57/0.76  % (23068)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)
% 0.57/0.76  % (23069)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)
% 0.57/0.76  % (23072)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)
% 0.57/0.76  % (23076)First to succeed.
% 0.57/0.76  % (23070)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (23073)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)
% 0.57/0.76  % (23071)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)
% 0.57/0.76  % (23076)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (23076)------------------------------
% 0.57/0.76  % (23076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (23076)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (23076)Memory used [KB]: 1172
% 0.57/0.76  % (23076)Time elapsed: 0.002 s
% 0.57/0.76  % (23076)Instructions burned: 4 (million)
% 0.57/0.76  % (23076)------------------------------
% 0.57/0.76  % (23076)------------------------------
% 0.57/0.76  % (23054)Success in time 0.389 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------