TSTP Solution File: LCL455+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL455+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : 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 : Wed May  1 03:13:23 EDT 2024

% Result   : Theorem 0.69s 0.89s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  17   ~;  12   |;   0   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   7 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  18   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f344,plain,
    $false,
    inference(avatar_sat_refutation,[],[f237,f278,f331,f340,f343]) ).

fof(f343,plain,
    ( ~ spl2_22
    | spl2_31 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl2_22
    | spl2_31 ),
    inference(resolution,[],[f236,f273]) ).

fof(f273,plain,
    ( ~ is_a_theorem(implies(sK1,or(sK0,sK1)))
    | spl2_31 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl2_31
  <=> is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f236,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl2_22
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f340,plain,
    ~ spl2_32,
    inference(avatar_split_clause,[],[f149,f275]) ).

fof(f275,plain,
    ( spl2_32
  <=> r2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f149,plain,
    ~ r2,
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ~ r2,
    inference(flattening,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ r2,
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    r2,
    file('/export/starexec/sandbox2/tmp/tmp.2G8Bj8Hqw2/Vampire---4.8_6591',principia_r2) ).

fof(f331,plain,
    spl2_21,
    inference(avatar_split_clause,[],[f140,f231]) ).

fof(f231,plain,
    ( spl2_21
  <=> or_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f140,plain,
    or_2,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    or_2,
    file('/export/starexec/sandbox2/tmp/tmp.2G8Bj8Hqw2/Vampire---4.8_6591',hilbert_or_2) ).

fof(f278,plain,
    ( ~ spl2_31
    | spl2_32 ),
    inference(avatar_split_clause,[],[f122,f275,f271]) ).

fof(f122,plain,
    ( r2
    | ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( r2
    | ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f99,f105]) ).

fof(f105,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1)))
   => ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ( r2
    | ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
   => r2 ),
    inference(unused_predicate_definition_removal,[],[f62]) ).

fof(f62,plain,
    ( r2
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( r2
  <=> ! [X3,X4] : is_a_theorem(implies(X4,or(X3,X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.2G8Bj8Hqw2/Vampire---4.8_6591',r2) ).

fof(f237,plain,
    ( ~ spl2_21
    | spl2_22 ),
    inference(avatar_split_clause,[],[f117,f235,f231]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,or(X0,X1)))
      | ~ or_2 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ or_2 ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ( or_2
   => ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,axiom,
    ( or_2
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.2G8Bj8Hqw2/Vampire---4.8_6591',or_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL455+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n008.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   : Tue Apr 30 16:41:13 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.2G8Bj8Hqw2/Vampire---4.8_6591
% 0.69/0.88  % (6780)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.88  % (6775)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 (2994ds/34Mi)
% 0.69/0.88  % (6777)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.88  % (6776)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 (2994ds/51Mi)
% 0.69/0.88  % (6778)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.88  % (6779)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 (2994ds/34Mi)
% 0.69/0.88  % (6782)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 (2994ds/56Mi)
% 0.69/0.88  % (6781)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 (2994ds/83Mi)
% 0.69/0.88  % (6782)Refutation not found, incomplete strategy% (6782)------------------------------
% 0.69/0.88  % (6782)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.88  % (6778)Refutation not found, incomplete strategy% (6778)------------------------------
% 0.69/0.88  % (6778)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.88  % (6775)Refutation not found, incomplete strategy% (6775)------------------------------
% 0.69/0.88  % (6775)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.88  % (6777)Refutation not found, incomplete strategy% (6777)------------------------------
% 0.69/0.88  % (6777)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.88  % (6777)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  % (6778)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  % (6775)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  % (6780)Refutation not found, incomplete strategy% (6780)------------------------------
% 0.69/0.88  % (6780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  % (6780)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (6777)Memory used [KB]: 985
% 0.69/0.88  % (6775)Memory used [KB]: 985
% 0.69/0.88  % (6778)Memory used [KB]: 985
% 0.69/0.88  % (6780)Memory used [KB]: 985
% 0.69/0.88  % (6777)Time elapsed: 0.003 s
% 0.69/0.88  % (6775)Time elapsed: 0.003 s
% 0.69/0.88  % (6778)Time elapsed: 0.003 s
% 0.69/0.88  % (6777)Instructions burned: 2 (million)
% 0.69/0.88  % (6775)Instructions burned: 2 (million)
% 0.69/0.88  % (6778)Instructions burned: 2 (million)
% 0.69/0.88  % (6780)Time elapsed: 0.003 s
% 0.69/0.88  % (6777)------------------------------
% 0.69/0.88  % (6777)------------------------------
% 0.69/0.88  % (6775)------------------------------
% 0.69/0.88  % (6775)------------------------------
% 0.69/0.88  % (6778)------------------------------
% 0.69/0.88  % (6778)------------------------------
% 0.69/0.88  % (6780)Instructions burned: 2 (million)
% 0.69/0.88  % (6780)------------------------------
% 0.69/0.88  % (6780)------------------------------
% 0.69/0.88  % (6781)Refutation not found, incomplete strategy% (6781)------------------------------
% 0.69/0.88  % (6781)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.88  % (6781)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (6781)Memory used [KB]: 985
% 0.69/0.88  % (6781)Time elapsed: 0.002 s
% 0.69/0.88  % (6781)Instructions burned: 2 (million)
% 0.69/0.88  % (6781)------------------------------
% 0.69/0.88  % (6781)------------------------------
% 0.69/0.88  % (6782)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (6782)Memory used [KB]: 985
% 0.69/0.88  % (6782)Time elapsed: 0.002 s
% 0.69/0.88  % (6782)Instructions burned: 2 (million)
% 0.69/0.88  % (6782)------------------------------
% 0.69/0.88  % (6782)------------------------------
% 0.69/0.88  % (6779)Refutation not found, incomplete strategy% (6779)------------------------------
% 0.69/0.88  % (6779)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.88  % (6779)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (6779)Memory used [KB]: 1072
% 0.69/0.88  % (6779)Time elapsed: 0.003 s
% 0.69/0.88  % (6779)Instructions burned: 3 (million)
% 0.69/0.88  % (6779)------------------------------
% 0.69/0.88  % (6779)------------------------------
% 0.69/0.88  % (6776)First to succeed.
% 0.69/0.89  % (6776)Refutation found. Thanks to Tanya!
% 0.69/0.89  % SZS status Theorem for Vampire---4
% 0.69/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.89  % (6776)------------------------------
% 0.69/0.89  % (6776)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.89  % (6776)Termination reason: Refutation
% 0.69/0.89  
% 0.69/0.89  % (6776)Memory used [KB]: 1142
% 0.69/0.89  % (6776)Time elapsed: 0.005 s
% 0.69/0.89  % (6776)Instructions burned: 5 (million)
% 0.69/0.89  % (6776)------------------------------
% 0.69/0.89  % (6776)------------------------------
% 0.69/0.89  % (6704)Success in time 0.522 s
% 0.69/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------