TSTP Solution File: SWC204-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC204-1 : 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 : n008.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 04:37:06 EDT 2024

% Result   : Unsatisfiable 0.65s 0.84s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   74 (  15 unt;   0 def)
%            Number of atoms       :  184 (  39 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  199 (  89   ~; 104   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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;   5 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f417,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f249,f259,f270,f364,f392,f411]) ).

fof(f411,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f410]) ).

fof(f410,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f401,f240]) ).

fof(f240,plain,
    ~ neq(nil,nil),
    inference(superposition,[],[f235,f239]) ).

fof(f239,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f238,f8]) ).

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

fof(f238,plain,
    ( nil = sk3
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f236,f198]) ).

fof(f198,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f236,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(nil) ),
    inference(resolution,[],[f235,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f235,plain,
    ~ neq(sk3,nil),
    inference(subsumption_resolution,[],[f204,f216]) ).

fof(f216,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

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

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f204,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(sk3,nil) ),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | ~ neq(sk1,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f401,plain,
    ( neq(nil,nil)
    | ~ spl0_6 ),
    inference(superposition,[],[f216,f296]) ).

fof(f296,plain,
    ( nil = sk4
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f295,plain,
    ( spl0_6
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f392,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f391,f355,f295]) ).

fof(f355,plain,
    ( spl0_7
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f391,plain,
    ( nil = sk4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f381,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f381,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_7 ),
    inference(resolution,[],[f357,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f357,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f364,plain,
    ( ~ spl0_7
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f363,f295,f227,f223,f355]) ).

fof(f223,plain,
    ( spl0_2
  <=> sk4 = app(sk3,tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f227,plain,
    ( spl0_3
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f363,plain,
    ( ~ ssItem(hd(sk4))
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(subsumption_resolution,[],[f352,f199]) ).

fof(f352,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(sk4)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(trivial_inequality_removal,[],[f346]) ).

fof(f346,plain,
    ( sk4 != sk4
    | ~ ssItem(hd(sk4))
    | ~ ssList(sk4)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(superposition,[],[f99,f325]) ).

fof(f325,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(subsumption_resolution,[],[f324,f199]) ).

fof(f324,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ ssList(sk4)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(subsumption_resolution,[],[f322,f297]) ).

fof(f297,plain,
    ( nil != sk4
    | spl0_6 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f322,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f104,f287]) ).

fof(f287,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f273,f228]) ).

fof(f228,plain,
    ( ssList(tl(sk4))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f273,plain,
    ( sk4 = tl(sk4)
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(superposition,[],[f271,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f271,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f225,f239]) ).

fof(f225,plain,
    ( sk4 = app(sk3,tl(sk4))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f270,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f267,f240]) ).

fof(f267,plain,
    ( neq(nil,nil)
    | spl0_4 ),
    inference(superposition,[],[f216,f264]) ).

fof(f264,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f263,f199]) ).

fof(f263,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f261,f8]) ).

fof(f261,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(resolution,[],[f233,f100]) ).

fof(f233,plain,
    ( ~ neq(nil,sk4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_4
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f259,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f258]) ).

fof(f258,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f255,f240]) ).

fof(f255,plain,
    ( neq(nil,nil)
    | spl0_3 ),
    inference(superposition,[],[f216,f252]) ).

fof(f252,plain,
    ( nil = sk4
    | spl0_3 ),
    inference(subsumption_resolution,[],[f250,f199]) ).

fof(f250,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_3 ),
    inference(resolution,[],[f229,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f229,plain,
    ( ~ ssList(tl(sk4))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f249,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f248,f219,f227]) ).

fof(f219,plain,
    ( spl0_1
  <=> ssList(app(sk3,tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f248,plain,
    ( ~ ssList(tl(sk4))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f246,f198]) ).

fof(f246,plain,
    ( ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | spl0_1 ),
    inference(resolution,[],[f221,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f221,plain,
    ( ~ ssList(app(sk3,tl(sk4)))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f234,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f217,f231,f227,f223,f219]) ).

fof(f217,plain,
    ( ~ neq(nil,sk4)
    | ~ ssList(tl(sk4))
    | sk4 = app(sk3,tl(sk4))
    | ~ ssList(app(sk3,tl(sk4))) ),
    inference(subsumption_resolution,[],[f208,f216]) ).

fof(f208,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssList(tl(sk4))
    | sk4 = app(sk3,tl(sk4))
    | ~ ssList(app(sk3,tl(sk4))) ),
    inference(equality_resolution,[],[f207]) ).

fof(f207,plain,
    ! [X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ ssList(X7)
      | sk4 = app(sk3,X7)
      | ~ ssList(app(sk3,X7)) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | app(sk3,X7) != X6
      | tl(sk4) != X7
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC204-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.13  % 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
% 0.11/0.34  % Computer : n008.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Sun May 19 02:55:53 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.11/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.34  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
% 0.65/0.83  % (12492)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.65/0.83  % (12494)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.65/0.83  % (12493)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 (2995ds/34Mi)
% 0.65/0.83  % (12491)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.65/0.83  % (12495)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 (2995ds/83Mi)
% 0.65/0.83  % (12489)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 (2995ds/34Mi)
% 0.65/0.83  % (12490)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 (2995ds/51Mi)
% 0.65/0.83  % (12496)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 (2995ds/56Mi)
% 0.65/0.83  % (12496)Refutation not found, incomplete strategy% (12496)------------------------------
% 0.65/0.83  % (12496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (12496)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (12496)Memory used [KB]: 1185
% 0.65/0.84  % (12496)Time elapsed: 0.004 s
% 0.65/0.84  % (12496)Instructions burned: 4 (million)
% 0.65/0.84  % (12496)------------------------------
% 0.65/0.84  % (12496)------------------------------
% 0.65/0.84  % (12494)First to succeed.
% 0.65/0.84  % (12494)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12488"
% 0.65/0.84  % (12493)Refutation not found, incomplete strategy% (12493)------------------------------
% 0.65/0.84  % (12493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (12493)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (12493)Memory used [KB]: 1263
% 0.65/0.84  % (12493)Time elapsed: 0.008 s
% 0.65/0.84  % (12493)Instructions burned: 12 (million)
% 0.65/0.84  % (12493)------------------------------
% 0.65/0.84  % (12493)------------------------------
% 0.65/0.84  % (12494)Refutation found. Thanks to Tanya!
% 0.65/0.84  % SZS status Unsatisfiable for theBenchmark
% 0.65/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.84  % (12494)------------------------------
% 0.65/0.84  % (12494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (12494)Termination reason: Refutation
% 0.65/0.84  
% 0.65/0.84  % (12494)Memory used [KB]: 1244
% 0.65/0.84  % (12494)Time elapsed: 0.008 s
% 0.65/0.84  % (12494)Instructions burned: 9 (million)
% 0.65/0.84  % (12488)Success in time 0.496 s
% 0.65/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------