TSTP Solution File: SWC028-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC028-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 04:35:39 EDT 2024

% Result   : Unsatisfiable 0.47s 0.66s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   39 (   6 unt;   0 def)
%            Number of atoms       :   84 (  21 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   84 (  39   ~;  41   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f272,plain,
    $false,
    inference(avatar_sat_refutation,[],[f218,f219,f224,f229,f231,f251,f271]) ).

fof(f271,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f261,f216]) ).

fof(f216,plain,
    ( nil != sk3
    | spl0_2 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f261,plain,
    ( nil = sk3
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f200,f252,f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ rearsegP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f252,plain,
    ( rearsegP(nil,sk3)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f228,f213]) ).

fof(f213,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f228,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl0_4
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f251,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f244,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f244,plain,
    ( ~ ssList(nil)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f209,f233]) ).

fof(f233,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f223,f217]) ).

fof(f217,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f223,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f209,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f231,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f226,f215]) ).

fof(f199,axiom,
    ( rearsegP(sk4,sk3)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f229,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f197,f226,f211]) ).

fof(f197,axiom,
    ( rearsegP(sk4,sk3)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f224,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f196,f221,f211]) ).

fof(f196,axiom,
    ( neq(sk3,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f219,plain,
    ( ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f205,f211,f215]) ).

fof(f205,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f195,f190,f191]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f195,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f218,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f215,f211]) ).

fof(f202,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

fof(f192,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWC028-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13  % 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
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 03:09:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.47/0.66  % (24324)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)
% 0.47/0.66  % (24317)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)
% 0.47/0.66  % (24319)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.66  % (24318)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)
% 0.47/0.66  % (24321)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)
% 0.47/0.66  % (24320)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)
% 0.47/0.66  % (24322)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)
% 0.47/0.66  % (24323)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)
% 0.47/0.66  % (24320)First to succeed.
% 0.47/0.66  % (24322)Also succeeded, but the first one will report.
% 0.47/0.66  % (24319)Also succeeded, but the first one will report.
% 0.47/0.66  % (24320)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24250"
% 0.47/0.66  % (24320)Refutation found. Thanks to Tanya!
% 0.47/0.66  % SZS status Unsatisfiable for theBenchmark
% 0.47/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.66  % (24320)------------------------------
% 0.47/0.66  % (24320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.66  % (24320)Termination reason: Refutation
% 0.47/0.66  
% 0.47/0.66  % (24320)Memory used [KB]: 1206
% 0.47/0.66  % (24320)Time elapsed: 0.005 s
% 0.47/0.66  % (24320)Instructions burned: 4 (million)
% 0.47/0.66  % (24250)Success in time 0.312 s
% 0.47/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------