TSTP Solution File: LCL491+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL491+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 03:13:37 EDT 2024

% Result   : Theorem 0.71s 0.93s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            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(f232,plain,
    $false,
    inference(avatar_sat_refutation,[],[f134,f150,f220,f228,f231]) ).

fof(f231,plain,
    ( spl2_5
    | ~ spl2_10 ),
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f230,plain,
    ( $false
    | spl2_5
    | ~ spl2_10 ),
    inference(resolution,[],[f149,f129]) ).

fof(f129,plain,
    ( ~ is_a_theorem(implies(sK1,or(sK0,sK1)))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl2_5
  <=> is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f149,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl2_10
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f228,plain,
    ~ spl2_6,
    inference(avatar_split_clause,[],[f109,f131]) ).

fof(f131,plain,
    ( spl2_6
  <=> or_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f109,plain,
    ~ or_2,
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ~ or_2,
    inference(flattening,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ or_2,
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    or_2,
    file('/export/starexec/sandbox/tmp/tmp.FVmIuRSBZ3/Vampire---4.8_26701',hilbert_or_2) ).

fof(f220,plain,
    spl2_9,
    inference(avatar_split_clause,[],[f101,f144]) ).

fof(f144,plain,
    ( spl2_9
  <=> r2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f101,plain,
    r2,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    r2,
    file('/export/starexec/sandbox/tmp/tmp.FVmIuRSBZ3/Vampire---4.8_26701',principia_r2) ).

fof(f150,plain,
    ( ~ spl2_9
    | spl2_10 ),
    inference(avatar_split_clause,[],[f87,f148,f144]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,or(X0,X1)))
      | ~ r2 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ r2 ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ( r2
   => ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f54,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/sandbox/tmp/tmp.FVmIuRSBZ3/Vampire---4.8_26701',r2) ).

fof(f134,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f85,f131,f127]) ).

fof(f85,plain,
    ( or_2
    | ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( or_2
    | ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f70,f81]) ).

fof(f81,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1)))
   => ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ( or_2
    | ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
   => or_2 ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,axiom,
    ( or_2
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.FVmIuRSBZ3/Vampire---4.8_26701',or_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL491+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n006.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 16:34:20 EDT 2024
% 0.14/0.36  % 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.FVmIuRSBZ3/Vampire---4.8_26701
% 0.71/0.93  % (27044)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.93  % (27042)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)
% 0.71/0.93  % (27043)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)
% 0.71/0.93  % (27045)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)
% 0.71/0.93  % (27046)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)
% 0.71/0.93  % (27047)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)
% 0.71/0.93  % (27048)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)
% 0.71/0.93  % (27044)Refutation not found, incomplete strategy% (27044)------------------------------
% 0.71/0.93  % (27044)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27042)Refutation not found, incomplete strategy% (27042)------------------------------
% 0.71/0.93  % (27042)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27042)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (27042)Memory used [KB]: 985
% 0.71/0.93  % (27042)Time elapsed: 0.002 s
% 0.71/0.93  % (27042)Instructions burned: 2 (million)
% 0.71/0.93  % (27042)------------------------------
% 0.71/0.93  % (27042)------------------------------
% 0.71/0.93  % (27045)Refutation not found, incomplete strategy% (27045)------------------------------
% 0.71/0.93  % (27045)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27044)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (27044)Memory used [KB]: 984
% 0.71/0.93  % (27044)Time elapsed: 0.002 s
% 0.71/0.93  % (27044)Instructions burned: 2 (million)
% 0.71/0.93  % (27044)------------------------------
% 0.71/0.93  % (27044)------------------------------
% 0.71/0.93  % (27045)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (27045)Memory used [KB]: 985
% 0.71/0.93  % (27047)Refutation not found, incomplete strategy% (27047)------------------------------
% 0.71/0.93  % (27047)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27047)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (27047)Memory used [KB]: 984
% 0.71/0.93  % (27047)Time elapsed: 0.002 s
% 0.71/0.93  % (27047)Instructions burned: 2 (million)
% 0.71/0.93  % (27047)------------------------------
% 0.71/0.93  % (27047)------------------------------
% 0.71/0.93  % (27045)Time elapsed: 0.002 s
% 0.71/0.93  % (27045)Instructions burned: 2 (million)
% 0.71/0.93  % (27045)------------------------------
% 0.71/0.93  % (27045)------------------------------
% 0.71/0.93  % (27048)Refutation not found, incomplete strategy% (27048)------------------------------
% 0.71/0.93  % (27048)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27048)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (27048)Memory used [KB]: 985
% 0.71/0.93  % (27048)Time elapsed: 0.002 s
% 0.71/0.93  % (27048)Instructions burned: 2 (million)
% 0.71/0.93  % (27048)------------------------------
% 0.71/0.93  % (27048)------------------------------
% 0.71/0.93  % (27046)Refutation not found, incomplete strategy% (27046)------------------------------
% 0.71/0.93  % (27046)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27046)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (27046)Memory used [KB]: 1068
% 0.71/0.93  % (27049)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)
% 0.71/0.93  % (27046)Time elapsed: 0.003 s
% 0.71/0.93  % (27046)Instructions burned: 3 (million)
% 0.71/0.93  % (27046)------------------------------
% 0.71/0.93  % (27046)------------------------------
% 0.71/0.93  % (27049)Refutation not found, incomplete strategy% (27049)------------------------------
% 0.71/0.93  % (27049)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27049)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.93  
% 0.71/0.93  % (27049)Memory used [KB]: 984
% 0.71/0.93  % (27049)Time elapsed: 0.002 s
% 0.71/0.93  % (27049)Instructions burned: 2 (million)
% 0.71/0.93  % (27049)------------------------------
% 0.71/0.93  % (27049)------------------------------
% 0.71/0.93  % (27043)First to succeed.
% 0.71/0.93  % (27043)Refutation found. Thanks to Tanya!
% 0.71/0.93  % SZS status Theorem for Vampire---4
% 0.71/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.93  % (27043)------------------------------
% 0.71/0.93  % (27043)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.93  % (27043)Termination reason: Refutation
% 0.71/0.93  
% 0.71/0.93  % (27043)Memory used [KB]: 1105
% 0.71/0.93  % (27043)Time elapsed: 0.004 s
% 0.71/0.93  % (27043)Instructions burned: 4 (million)
% 0.71/0.93  % (27043)------------------------------
% 0.71/0.93  % (27043)------------------------------
% 0.71/0.93  % (26954)Success in time 0.565 s
% 0.71/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------