TSTP Solution File: SEU200+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU200+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 : n011.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 03:50:38 EDT 2024

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (   5 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   70 (  30   ~;  23   |;   7   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  24   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f90,plain,
    $false,
    inference(avatar_sat_refutation,[],[f82,f86,f89]) ).

fof(f89,plain,
    spl4_2,
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | spl4_2 ),
    inference(subsumption_resolution,[],[f87,f53]) ).

fof(f53,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ~ subset(relation_rng(relation_rng_restriction(sK0,sK1)),relation_rng(sK1))
    & relation(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f37,f46]) ).

fof(f46,plain,
    ( ? [X0,X1] :
        ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
        & relation(X1) )
   => ( ~ subset(relation_rng(relation_rng_restriction(sK0,sK1)),relation_rng(sK1))
      & relation(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ? [X0,X1] :
      ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
      & relation(X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.BDlPbKJrfJ/Vampire---4.8_25178',t118_relat_1) ).

fof(f87,plain,
    ( ~ relation(sK1)
    | spl4_2 ),
    inference(resolution,[],[f81,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( subset(relation_rng_restriction(X0,X1),X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( subset(relation_rng_restriction(X0,X1),X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => subset(relation_rng_restriction(X0,X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.BDlPbKJrfJ/Vampire---4.8_25178',t117_relat_1) ).

fof(f81,plain,
    ( ~ subset(relation_rng_restriction(sK0,sK1),sK1)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl4_2
  <=> subset(relation_rng_restriction(sK0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f86,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f85,plain,
    ( $false
    | spl4_1 ),
    inference(subsumption_resolution,[],[f83,f53]) ).

fof(f83,plain,
    ( ~ relation(sK1)
    | spl4_1 ),
    inference(resolution,[],[f77,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.BDlPbKJrfJ/Vampire---4.8_25178',dt_k8_relat_1) ).

fof(f77,plain,
    ( ~ relation(relation_rng_restriction(sK0,sK1))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl4_1
  <=> relation(relation_rng_restriction(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f82,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f73,f79,f75]) ).

fof(f73,plain,
    ( ~ subset(relation_rng_restriction(sK0,sK1),sK1)
    | ~ relation(relation_rng_restriction(sK0,sK1)) ),
    inference(subsumption_resolution,[],[f72,f53]) ).

fof(f72,plain,
    ( ~ subset(relation_rng_restriction(sK0,sK1),sK1)
    | ~ relation(sK1)
    | ~ relation(relation_rng_restriction(sK0,sK1)) ),
    inference(resolution,[],[f66,f54]) ).

fof(f54,plain,
    ~ subset(relation_rng(relation_rng_restriction(sK0,sK1)),relation_rng(sK1)),
    inference(cnf_transformation,[],[f47]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( subset(relation_rng(X0),relation_rng(X1))
      | ~ subset(X0,X1)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(relation_rng(X0),relation_rng(X1))
            & subset(relation_dom(X0),relation_dom(X1)) )
          | ~ subset(X0,X1)
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(relation_rng(X0),relation_rng(X1))
            & subset(relation_dom(X0),relation_dom(X1)) )
          | ~ subset(X0,X1)
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ( subset(X0,X1)
           => ( subset(relation_rng(X0),relation_rng(X1))
              & subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BDlPbKJrfJ/Vampire---4.8_25178',t25_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU200+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
% 0.16/0.36  % Computer : n011.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 16:22:01 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BDlPbKJrfJ/Vampire---4.8_25178
% 0.58/0.76  % (25576)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)
% 0.58/0.76  % (25569)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)
% 0.58/0.76  % (25576)Refutation not found, incomplete strategy% (25576)------------------------------
% 0.58/0.76  % (25576)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (25576)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (25576)Memory used [KB]: 975
% 0.58/0.76  % (25576)Time elapsed: 0.002 s
% 0.58/0.76  % (25576)Instructions burned: 2 (million)
% 0.58/0.76  % (25576)------------------------------
% 0.58/0.76  % (25576)------------------------------
% 0.58/0.76  % (25571)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (25570)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)
% 0.58/0.76  % (25573)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)
% 0.58/0.76  % (25574)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)
% 0.58/0.76  % (25572)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)
% 0.58/0.76  % (25575)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)
% 0.58/0.76  % (25574)Refutation not found, incomplete strategy% (25574)------------------------------
% 0.58/0.76  % (25574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (25574)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (25574)Memory used [KB]: 961
% 0.58/0.76  % (25574)Time elapsed: 0.003 s
% 0.58/0.76  % (25574)Instructions burned: 2 (million)
% 0.58/0.76  % (25574)------------------------------
% 0.58/0.76  % (25574)------------------------------
% 0.58/0.77  % (25569)First to succeed.
% 0.58/0.77  % (25571)Also succeeded, but the first one will report.
% 0.58/0.77  % (25580)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)
% 0.58/0.77  % (25573)Also succeeded, but the first one will report.
% 0.58/0.77  % (25569)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Theorem for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (25569)------------------------------
% 0.58/0.77  % (25569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (25569)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (25569)Memory used [KB]: 997
% 0.58/0.77  % (25569)Time elapsed: 0.004 s
% 0.58/0.77  % (25569)Instructions burned: 3 (million)
% 0.58/0.77  % (25569)------------------------------
% 0.58/0.77  % (25569)------------------------------
% 0.58/0.77  % (25428)Success in time 0.394 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------