TSTP Solution File: SEU188+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU188+2 : 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 : n021.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 09:20:52 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (   9 unt;   0 def)
%            Number of atoms       :   85 (  22 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   91 (  42   ~;  33   |;   8   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f861,plain,
    $false,
    inference(avatar_sat_refutation,[],[f706,f795,f858]) ).

fof(f858,plain,
    ~ spl53_1,
    inference(avatar_contradiction_clause,[],[f857]) ).

fof(f857,plain,
    ( $false
    | ~ spl53_1 ),
    inference(subsumption_resolution,[],[f856,f769]) ).

fof(f769,plain,
    ~ empty(sK6),
    inference(unit_resulting_resolution,[],[f410,f394,f575]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f165]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & X0 != X1
        & empty(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YXCMVahiwX/Vampire---4.8_13167',t8_boole) ).

fof(f394,plain,
    empty_set != sK6,
    inference(cnf_transformation,[],[f242]) ).

fof(f242,plain,
    ? [X0] :
      ( empty_set != X0
      & ( empty_set = relation_rng(X0)
        | empty_set = relation_dom(X0) )
      & relation(X0) ),
    inference(flattening,[],[f241]) ).

fof(f241,plain,
    ? [X0] :
      ( empty_set != X0
      & ( empty_set = relation_rng(X0)
        | empty_set = relation_dom(X0) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( ( empty_set = relation_rng(X0)
            | empty_set = relation_dom(X0) )
         => empty_set = X0 ) ),
    inference(negated_conjecture,[],[f156]) ).

fof(f156,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( ( empty_set = relation_rng(X0)
          | empty_set = relation_dom(X0) )
       => empty_set = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.YXCMVahiwX/Vampire---4.8_13167',t64_relat_1) ).

fof(f410,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/tmp/tmp.YXCMVahiwX/Vampire---4.8_13167',fc1_xboole_0) ).

fof(f856,plain,
    ( empty(sK6)
    | ~ spl53_1 ),
    inference(subsumption_resolution,[],[f855,f393]) ).

fof(f393,plain,
    relation(sK6),
    inference(cnf_transformation,[],[f242]) ).

fof(f855,plain,
    ( ~ relation(sK6)
    | empty(sK6)
    | ~ spl53_1 ),
    inference(subsumption_resolution,[],[f850,f410]) ).

fof(f850,plain,
    ( ~ empty(empty_set)
    | ~ relation(sK6)
    | empty(sK6)
    | ~ spl53_1 ),
    inference(superposition,[],[f540,f701]) ).

fof(f701,plain,
    ( empty_set = relation_rng(sK6)
    | ~ spl53_1 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl53_1
  <=> empty_set = relation_rng(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).

fof(f540,plain,
    ! [X0] :
      ( ~ empty(relation_rng(X0))
      | ~ relation(X0)
      | empty(X0) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ empty(relation_rng(X0))
      | ~ relation(X0)
      | empty(X0) ),
    inference(flattening,[],[f279]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ empty(relation_rng(X0))
      | ~ relation(X0)
      | empty(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ( relation(X0)
        & ~ empty(X0) )
     => ~ empty(relation_rng(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.YXCMVahiwX/Vampire---4.8_13167',fc6_relat_1) ).

fof(f795,plain,
    ~ spl53_2,
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f794,plain,
    ( $false
    | ~ spl53_2 ),
    inference(subsumption_resolution,[],[f793,f410]) ).

fof(f793,plain,
    ( ~ empty(empty_set)
    | ~ spl53_2 ),
    inference(forward_demodulation,[],[f791,f705]) ).

fof(f705,plain,
    ( empty_set = relation_dom(sK6)
    | ~ spl53_2 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f703,plain,
    ( spl53_2
  <=> empty_set = relation_dom(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).

fof(f791,plain,
    ~ empty(relation_dom(sK6)),
    inference(unit_resulting_resolution,[],[f393,f769,f537]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | ~ relation(X0)
      | empty(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | ~ relation(X0)
      | empty(X0) ),
    inference(flattening,[],[f276]) ).

fof(f276,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | ~ relation(X0)
      | empty(X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( ( relation(X0)
        & ~ empty(X0) )
     => ~ empty(relation_dom(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.YXCMVahiwX/Vampire---4.8_13167',fc5_relat_1) ).

fof(f706,plain,
    ( spl53_1
    | spl53_2 ),
    inference(avatar_split_clause,[],[f392,f703,f699]) ).

fof(f392,plain,
    ( empty_set = relation_dom(sK6)
    | empty_set = relation_rng(sK6) ),
    inference(cnf_transformation,[],[f242]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEU188+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:34:28 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.YXCMVahiwX/Vampire---4.8_13167
% 0.59/0.75  % (13541)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)
% 0.59/0.75  % (13534)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)
% 0.59/0.75  % (13535)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)
% 0.59/0.75  % (13536)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (13537)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)
% 0.59/0.75  % (13538)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)
% 0.59/0.75  % (13539)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)
% 0.59/0.75  % (13540)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)
% 0.60/0.76  % (13540)First to succeed.
% 0.60/0.76  % (13540)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13419"
% 0.60/0.77  % (13540)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (13540)------------------------------
% 0.60/0.77  % (13540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (13540)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (13540)Memory used [KB]: 1449
% 0.60/0.77  % (13540)Time elapsed: 0.016 s
% 0.60/0.77  % (13540)Instructions burned: 26 (million)
% 0.60/0.77  % (13419)Success in time 0.389 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------