TSTP Solution File: LCL506+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL506+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 : n013.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 03:13:42 EDT 2024

% Result   : Theorem 0.65s 0.81s
% Output   : Refutation 0.65s
% 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(f185,plain,
    $false,
    inference(avatar_sat_refutation,[],[f122,f138,f176,f182,f184]) ).

fof(f184,plain,
    ( spl2_5
    | ~ spl2_10 ),
    inference(avatar_contradiction_clause,[],[f183]) ).

fof(f183,plain,
    ( $false
    | spl2_5
    | ~ spl2_10 ),
    inference(resolution,[],[f137,f117]) ).

fof(f117,plain,
    ( ~ is_a_theorem(implies(and(sK0,sK1),sK0))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl2_5
  <=> is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f137,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl2_10
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f182,plain,
    ~ spl2_6,
    inference(avatar_split_clause,[],[f97,f119]) ).

fof(f119,plain,
    ( spl2_6
  <=> and_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f97,plain,
    ~ and_1,
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ~ and_1,
    inference(flattening,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ and_1,
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    and_1,
    file('/export/starexec/sandbox2/tmp/tmp.aJzGtaXlKQ/Vampire---4.8_18517',hilbert_and_1) ).

fof(f176,plain,
    spl2_9,
    inference(avatar_split_clause,[],[f91,f132]) ).

fof(f132,plain,
    ( spl2_9
  <=> kn2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f91,plain,
    kn2,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    kn2,
    file('/export/starexec/sandbox2/tmp/tmp.aJzGtaXlKQ/Vampire---4.8_18517',rosser_kn2) ).

fof(f138,plain,
    ( ~ spl2_9
    | spl2_10 ),
    inference(avatar_split_clause,[],[f81,f136,f132]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X0,X1),X0))
      | ~ kn2 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ kn2 ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ( kn2
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(unused_predicate_definition_removal,[],[f46]) ).

fof(f46,plain,
    ( kn2
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ( kn2
  <=> ! [X3,X4] : is_a_theorem(implies(and(X3,X4),X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aJzGtaXlKQ/Vampire---4.8_18517',kn2) ).

fof(f122,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f79,f119,f115]) ).

fof(f79,plain,
    ( and_1
    | ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( and_1
    | ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f68,f75]) ).

fof(f75,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0))
   => ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ( and_1
    | ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
   => and_1 ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ( and_1
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aJzGtaXlKQ/Vampire---4.8_18517',and_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:41:04 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.aJzGtaXlKQ/Vampire---4.8_18517
% 0.65/0.81  % (18729)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 (2995ds/34Mi)
% 0.65/0.81  % (18731)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.81  % (18730)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 (2995ds/51Mi)
% 0.65/0.81  % (18736)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 (2995ds/56Mi)
% 0.65/0.81  % (18734)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.81  % (18735)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 (2995ds/83Mi)
% 0.65/0.81  % (18729)Refutation not found, incomplete strategy% (18729)------------------------------
% 0.65/0.81  % (18729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (18736)Refutation not found, incomplete strategy% (18736)------------------------------
% 0.65/0.81  % (18736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (18736)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (18731)Refutation not found, incomplete strategy% (18731)------------------------------
% 0.65/0.81  % (18731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (18736)Memory used [KB]: 985
% 0.65/0.81  % (18731)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  % (18736)Time elapsed: 0.001 s
% 0.65/0.81  
% 0.65/0.81  % (18736)Instructions burned: 2 (million)
% 0.65/0.81  % (18731)Memory used [KB]: 984
% 0.65/0.81  % (18736)------------------------------
% 0.65/0.81  % (18736)------------------------------
% 0.65/0.81  % (18731)Time elapsed: 0.001 s
% 0.65/0.81  % (18731)Instructions burned: 2 (million)
% 0.65/0.81  % (18731)------------------------------
% 0.65/0.81  % (18731)------------------------------
% 0.65/0.81  % (18729)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (18729)Memory used [KB]: 985
% 0.65/0.81  % (18729)Time elapsed: 0.002 s
% 0.65/0.81  % (18729)Instructions burned: 2 (million)
% 0.65/0.81  % (18729)------------------------------
% 0.65/0.81  % (18729)------------------------------
% 0.65/0.81  % (18734)Refutation not found, incomplete strategy% (18734)------------------------------
% 0.65/0.81  % (18734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (18734)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (18734)Memory used [KB]: 985
% 0.65/0.81  % (18734)Time elapsed: 0.001 s
% 0.65/0.81  % (18734)Instructions burned: 2 (million)
% 0.65/0.81  % (18734)------------------------------
% 0.65/0.81  % (18734)------------------------------
% 0.65/0.81  % (18735)Refutation not found, incomplete strategy% (18735)------------------------------
% 0.65/0.81  % (18735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (18735)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (18735)Memory used [KB]: 985
% 0.65/0.81  % (18735)Time elapsed: 0.002 s
% 0.65/0.81  % (18735)Instructions burned: 2 (million)
% 0.65/0.81  % (18735)------------------------------
% 0.65/0.81  % (18735)------------------------------
% 0.65/0.81  % (18732)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.81  % (18733)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 (2995ds/34Mi)
% 0.65/0.81  % (18730)First to succeed.
% 0.65/0.81  % (18732)Refutation not found, incomplete strategy% (18732)------------------------------
% 0.65/0.81  % (18732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (18732)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (18732)Memory used [KB]: 985
% 0.65/0.81  % (18732)Time elapsed: 0.003 s
% 0.65/0.81  % (18732)Instructions burned: 2 (million)
% 0.65/0.81  % (18732)------------------------------
% 0.65/0.81  % (18732)------------------------------
% 0.65/0.81  % (18730)Refutation found. Thanks to Tanya!
% 0.65/0.81  % SZS status Theorem for Vampire---4
% 0.65/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.81  % (18730)------------------------------
% 0.65/0.81  % (18730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (18730)Termination reason: Refutation
% 0.65/0.81  
% 0.65/0.81  % (18730)Memory used [KB]: 1097
% 0.65/0.81  % (18730)Time elapsed: 0.003 s
% 0.65/0.81  % (18730)Instructions burned: 4 (million)
% 0.65/0.81  % (18730)------------------------------
% 0.65/0.81  % (18730)------------------------------
% 0.65/0.81  % (18663)Success in time 0.443 s
% 0.65/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------