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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 : Sun May  5 07:36:10 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% 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/sandbox/tmp/tmp.3UZi84eAmV/Vampire---4.8_10823',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/sandbox/tmp/tmp.3UZi84eAmV/Vampire---4.8_10823',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/sandbox/tmp/tmp.3UZi84eAmV/Vampire---4.8_10823',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/sandbox/tmp/tmp.3UZi84eAmV/Vampire---4.8_10823',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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 14:13:53 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.3UZi84eAmV/Vampire---4.8_10823
% 0.58/0.75  % (11178)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 (2996ds/56Mi)
% 0.58/0.75  % (11178)Refutation not found, incomplete strategy% (11178)------------------------------
% 0.58/0.75  % (11178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11178)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (11178)Memory used [KB]: 985
% 0.58/0.75  % (11178)Time elapsed: 0.001 s
% 0.58/0.75  % (11178)Instructions burned: 2 (million)
% 0.58/0.75  % (11178)------------------------------
% 0.58/0.75  % (11178)------------------------------
% 0.58/0.75  % (11170)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 (2996ds/34Mi)
% 0.58/0.75  % (11172)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (11171)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 (2996ds/51Mi)
% 0.58/0.75  % (11175)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 (2996ds/34Mi)
% 0.58/0.75  % (11176)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (11173)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (11177)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 (2996ds/83Mi)
% 0.58/0.75  % (11170)Refutation not found, incomplete strategy% (11170)------------------------------
% 0.58/0.75  % (11170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11172)Refutation not found, incomplete strategy% (11172)------------------------------
% 0.58/0.75  % (11172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11170)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (11170)Memory used [KB]: 985
% 0.58/0.75  % (11170)Time elapsed: 0.002 s
% 0.58/0.75  % (11170)Instructions burned: 2 (million)
% 0.58/0.75  % (11172)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (11172)Memory used [KB]: 984
% 0.58/0.75  % (11172)Time elapsed: 0.002 s
% 0.58/0.75  % (11172)Instructions burned: 2 (million)
% 0.58/0.75  % (11176)Refutation not found, incomplete strategy% (11176)------------------------------
% 0.58/0.75  % (11176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11176)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (11173)Refutation not found, incomplete strategy% (11173)------------------------------
% 0.58/0.75  % (11173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11173)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (11173)Memory used [KB]: 985
% 0.58/0.75  % (11173)Time elapsed: 0.002 s
% 0.58/0.75  % (11173)Instructions burned: 2 (million)
% 0.58/0.75  % (11176)Memory used [KB]: 985
% 0.58/0.75  % (11176)Time elapsed: 0.002 s
% 0.58/0.75  % (11176)Instructions burned: 2 (million)
% 0.58/0.75  % (11170)------------------------------
% 0.58/0.75  % (11170)------------------------------
% 0.58/0.75  % (11177)Refutation not found, incomplete strategy% (11177)------------------------------
% 0.58/0.75  % (11177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11172)------------------------------
% 0.58/0.75  % (11172)------------------------------
% 0.58/0.75  % (11177)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (11177)Memory used [KB]: 985
% 0.58/0.75  % (11177)Time elapsed: 0.002 s
% 0.58/0.75  % (11173)------------------------------
% 0.58/0.75  % (11173)------------------------------
% 0.58/0.75  % (11177)Instructions burned: 2 (million)
% 0.58/0.75  % (11176)------------------------------
% 0.58/0.75  % (11176)------------------------------
% 0.58/0.75  % (11177)------------------------------
% 0.58/0.75  % (11177)------------------------------
% 0.58/0.75  % (11175)Refutation not found, incomplete strategy% (11175)------------------------------
% 0.58/0.75  % (11175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11175)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (11175)Memory used [KB]: 1063
% 0.58/0.75  % (11175)Time elapsed: 0.003 s
% 0.58/0.75  % (11175)Instructions burned: 3 (million)
% 0.58/0.75  % (11175)------------------------------
% 0.58/0.75  % (11175)------------------------------
% 0.58/0.75  % (11180)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.75  % (11171)First to succeed.
% 0.58/0.75  % (11171)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11053"
% 0.58/0.75  % (11171)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (11171)------------------------------
% 0.58/0.75  % (11171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (11171)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (11171)Memory used [KB]: 1097
% 0.58/0.75  % (11171)Time elapsed: 0.004 s
% 0.58/0.75  % (11171)Instructions burned: 4 (million)
% 0.58/0.75  % (11053)Success in time 0.381 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------