TSTP Solution File: SYO580+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% 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 : n003.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 12:23:02 EDT 2024

% Result   : Theorem 0.52s 0.74s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   45 (   2 unt;   0 def)
%            Number of atoms       :  188 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  219 (  76   ~;  67   |;  50   &)
%                                         (   9 <=>;  16  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   7 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   51 (  29   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f982,plain,
    $false,
    inference(avatar_sat_refutation,[],[f945,f950,f972,f973,f974,f977,f979,f981]) ).

fof(f981,plain,
    ( ~ spl9_3
    | spl9_1
    | ~ spl9_5 ),
    inference(avatar_split_clause,[],[f980,f956,f939,f947]) ).

fof(f947,plain,
    ( spl9_3
  <=> b48_buttercup10305(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f939,plain,
    ( spl9_1
  <=> k04_buttercup10303(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f956,plain,
    ( spl9_5
  <=> ! [X3] :
        ( k04_buttercup10303(X3)
        | ~ b48_buttercup10305(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f980,plain,
    ( ~ b48_buttercup10305(sK1)
    | spl9_1
    | ~ spl9_5 ),
    inference(resolution,[],[f941,f957]) ).

fof(f957,plain,
    ( ! [X3] :
        ( k04_buttercup10303(X3)
        | ~ b48_buttercup10305(X3) )
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f941,plain,
    ( ~ k04_buttercup10303(sK1)
    | spl9_1 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f979,plain,
    ( ~ spl9_8
    | ~ spl9_2
    | spl9_7 ),
    inference(avatar_split_clause,[],[f978,f965,f943,f969]) ).

fof(f969,plain,
    ( spl9_8
  <=> k04_buttercup10303(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).

fof(f943,plain,
    ( spl9_2
  <=> ! [X1] :
        ( b48_buttercup10305(X1)
        | ~ k04_buttercup10303(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f965,plain,
    ( spl9_7
  <=> b48_buttercup10305(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).

fof(f978,plain,
    ( ~ k04_buttercup10303(sK3)
    | ~ spl9_2
    | spl9_7 ),
    inference(forward_literal_rewriting,[],[f967,f944]) ).

fof(f944,plain,
    ( ! [X1] :
        ( b48_buttercup10305(X1)
        | ~ k04_buttercup10303(X1) )
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f967,plain,
    ( ~ b48_buttercup10305(sK3)
    | spl9_7 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f977,plain,
    ( ~ spl9_5
    | ~ spl9_7
    | spl9_8 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f976,plain,
    ( $false
    | ~ spl9_5
    | ~ spl9_7
    | spl9_8 ),
    inference(subsumption_resolution,[],[f975,f966]) ).

fof(f966,plain,
    ( b48_buttercup10305(sK3)
    | ~ spl9_7 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f975,plain,
    ( ~ b48_buttercup10305(sK3)
    | ~ spl9_5
    | spl9_8 ),
    inference(resolution,[],[f957,f971]) ).

fof(f971,plain,
    ( ~ k04_buttercup10303(sK3)
    | spl9_8 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f974,plain,
    spl9_5,
    inference(avatar_split_clause,[],[f933,f956]) ).

fof(f933,plain,
    ! [X1] :
      ( k04_buttercup10303(X1)
      | ~ b48_buttercup10305(X1) ),
    inference(cnf_transformation,[],[f917]) ).

fof(f917,plain,
    ( ~ b48_buttercup10305(sK7)
    & k04_buttercup10303(sK7)
    & ! [X1] :
        ( k04_buttercup10303(X1)
        | ~ b48_buttercup10305(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f901,f916]) ).

fof(f916,plain,
    ( ? [X0] :
        ( ~ b48_buttercup10305(X0)
        & k04_buttercup10303(X0) )
   => ( ~ b48_buttercup10305(sK7)
      & k04_buttercup10303(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f901,plain,
    ( ? [X0] :
        ( ~ b48_buttercup10305(X0)
        & k04_buttercup10303(X0) )
    & ! [X1] :
        ( k04_buttercup10303(X1)
        | ~ b48_buttercup10305(X1) ) ),
    inference(ennf_transformation,[],[f893]) ).

fof(f893,plain,
    ( ? [X0] :
        ( ~ b48_buttercup10305(X0)
        & k04_buttercup10303(X0) )
    & ! [X1] :
        ( b48_buttercup10305(X1)
       => k04_buttercup10303(X1) ) ),
    inference(rectify,[],[f320]) ).

fof(f320,axiom,
    ( ? [X320] :
        ( ~ b48_buttercup10305(X320)
        & k04_buttercup10303(X320) )
    & ! [X319] :
        ( b48_buttercup10305(X319)
       => k04_buttercup10303(X319) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wX8w4wh6Tx/Vampire---4.8_1326',sos_320) ).

fof(f973,plain,
    ( spl9_7
    | spl9_8 ),
    inference(avatar_split_clause,[],[f920,f969,f965]) ).

fof(f920,plain,
    ( k04_buttercup10303(sK3)
    | b48_buttercup10305(sK3) ),
    inference(cnf_transformation,[],[f908]) ).

fof(f908,plain,
    ( k04_buttercup10303(sK0)
    & b48_buttercup10305(sK0)
    & ( ! [X1] :
          ( b48_buttercup10305(X1)
          | ~ k04_buttercup10303(X1) )
      | ( ~ k04_buttercup10303(sK1)
        & b48_buttercup10305(sK1) ) )
    & ( ! [X3] :
          ( k04_buttercup10303(X3)
          | ~ b48_buttercup10305(X3) )
      | ( ~ b48_buttercup10305(sK2)
        & k04_buttercup10303(sK2) ) )
    & ( ~ k04_buttercup10303(sK3)
      | ~ b48_buttercup10305(sK3) )
    & ( k04_buttercup10303(sK3)
      | b48_buttercup10305(sK3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f903,f907,f906,f905,f904]) ).

fof(f904,plain,
    ( ? [X0] :
        ( k04_buttercup10303(X0)
        & b48_buttercup10305(X0) )
   => ( k04_buttercup10303(sK0)
      & b48_buttercup10305(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f905,plain,
    ( ? [X2] :
        ( ~ k04_buttercup10303(X2)
        & b48_buttercup10305(X2) )
   => ( ~ k04_buttercup10303(sK1)
      & b48_buttercup10305(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f906,plain,
    ( ? [X4] :
        ( ~ b48_buttercup10305(X4)
        & k04_buttercup10303(X4) )
   => ( ~ b48_buttercup10305(sK2)
      & k04_buttercup10303(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f907,plain,
    ( ? [X5] :
        ( ( ~ k04_buttercup10303(X5)
          | ~ b48_buttercup10305(X5) )
        & ( k04_buttercup10303(X5)
          | b48_buttercup10305(X5) ) )
   => ( ( ~ k04_buttercup10303(sK3)
        | ~ b48_buttercup10305(sK3) )
      & ( k04_buttercup10303(sK3)
        | b48_buttercup10305(sK3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f903,plain,
    ( ? [X0] :
        ( k04_buttercup10303(X0)
        & b48_buttercup10305(X0) )
    & ( ! [X1] :
          ( b48_buttercup10305(X1)
          | ~ k04_buttercup10303(X1) )
      | ? [X2] :
          ( ~ k04_buttercup10303(X2)
          & b48_buttercup10305(X2) ) )
    & ( ! [X3] :
          ( k04_buttercup10303(X3)
          | ~ b48_buttercup10305(X3) )
      | ? [X4] :
          ( ~ b48_buttercup10305(X4)
          & k04_buttercup10303(X4) ) )
    & ? [X5] :
        ( ( ~ k04_buttercup10303(X5)
          | ~ b48_buttercup10305(X5) )
        & ( k04_buttercup10303(X5)
          | b48_buttercup10305(X5) ) ) ),
    inference(nnf_transformation,[],[f900]) ).

fof(f900,plain,
    ( ? [X0] :
        ( k04_buttercup10303(X0)
        & b48_buttercup10305(X0) )
    & ( ! [X1] :
          ( b48_buttercup10305(X1)
          | ~ k04_buttercup10303(X1) )
      | ? [X2] :
          ( ~ k04_buttercup10303(X2)
          & b48_buttercup10305(X2) ) )
    & ( ! [X3] :
          ( k04_buttercup10303(X3)
          | ~ b48_buttercup10305(X3) )
      | ? [X4] :
          ( ~ b48_buttercup10305(X4)
          & k04_buttercup10303(X4) ) )
    & ? [X5] :
        ( b48_buttercup10305(X5)
      <~> k04_buttercup10303(X5) ) ),
    inference(ennf_transformation,[],[f888]) ).

fof(f888,plain,
    ~ ( ! [X0] :
          ( b48_buttercup10305(X0)
         => ~ k04_buttercup10303(X0) )
      | ( ? [X1] :
            ( ~ b48_buttercup10305(X1)
            & k04_buttercup10303(X1) )
        & ! [X2] :
            ( b48_buttercup10305(X2)
           => k04_buttercup10303(X2) ) )
      | ( ? [X3] :
            ( ~ k04_buttercup10303(X3)
            & b48_buttercup10305(X3) )
        & ! [X4] :
            ( k04_buttercup10303(X4)
           => b48_buttercup10305(X4) ) )
      | ! [X5] :
          ( b48_buttercup10305(X5)
        <=> k04_buttercup10303(X5) ) ),
    inference(rectify,[],[f887]) ).

fof(f887,negated_conjecture,
    ~ ( ! [X1060] :
          ( b48_buttercup10305(X1060)
         => ~ k04_buttercup10303(X1060) )
      | ( ? [X1059] :
            ( ~ b48_buttercup10305(X1059)
            & k04_buttercup10303(X1059) )
        & ! [X1058] :
            ( b48_buttercup10305(X1058)
           => k04_buttercup10303(X1058) ) )
      | ( ? [X1057] :
            ( ~ k04_buttercup10303(X1057)
            & b48_buttercup10305(X1057) )
        & ! [X1056] :
            ( k04_buttercup10303(X1056)
           => b48_buttercup10305(X1056) ) )
      | ! [X1055] :
          ( b48_buttercup10305(X1055)
        <=> k04_buttercup10303(X1055) ) ),
    inference(negated_conjecture,[],[f886]) ).

fof(f886,conjecture,
    ( ! [X1060] :
        ( b48_buttercup10305(X1060)
       => ~ k04_buttercup10303(X1060) )
    | ( ? [X1059] :
          ( ~ b48_buttercup10305(X1059)
          & k04_buttercup10303(X1059) )
      & ! [X1058] :
          ( b48_buttercup10305(X1058)
         => k04_buttercup10303(X1058) ) )
    | ( ? [X1057] :
          ( ~ k04_buttercup10303(X1057)
          & b48_buttercup10305(X1057) )
      & ! [X1056] :
          ( k04_buttercup10303(X1056)
         => b48_buttercup10305(X1056) ) )
    | ! [X1055] :
        ( b48_buttercup10305(X1055)
      <=> k04_buttercup10303(X1055) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wX8w4wh6Tx/Vampire---4.8_1326',goals_886) ).

fof(f972,plain,
    ( ~ spl9_7
    | ~ spl9_8 ),
    inference(avatar_split_clause,[],[f921,f969,f965]) ).

fof(f921,plain,
    ( ~ k04_buttercup10303(sK3)
    | ~ b48_buttercup10305(sK3) ),
    inference(cnf_transformation,[],[f908]) ).

fof(f950,plain,
    ( spl9_3
    | spl9_2 ),
    inference(avatar_split_clause,[],[f924,f943,f947]) ).

fof(f924,plain,
    ! [X1] :
      ( b48_buttercup10305(X1)
      | ~ k04_buttercup10303(X1)
      | b48_buttercup10305(sK1) ),
    inference(cnf_transformation,[],[f908]) ).

fof(f945,plain,
    ( ~ spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f925,f943,f939]) ).

fof(f925,plain,
    ! [X1] :
      ( b48_buttercup10305(X1)
      | ~ k04_buttercup10303(X1)
      | ~ k04_buttercup10303(sK1) ),
    inference(cnf_transformation,[],[f908]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% 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
% 0.12/0.35  % Computer : n003.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Fri May  3 18:53:23 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.12/0.35  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.wX8w4wh6Tx/Vampire---4.8_1326
% 0.52/0.74  % (1434)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)
% 0.52/0.74  % (1436)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.74  % (1437)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)
% 0.52/0.74  % (1438)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)
% 0.52/0.74  % (1439)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)
% 0.52/0.74  % (1435)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)
% 0.52/0.74  % (1440)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)
% 0.52/0.74  % (1441)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)
% 0.52/0.74  % (1434)First to succeed.
% 0.52/0.74  % (1439)Also succeeded, but the first one will report.
% 0.52/0.74  % (1436)Also succeeded, but the first one will report.
% 0.52/0.74  % (1437)Also succeeded, but the first one will report.
% 0.52/0.74  % (1441)Also succeeded, but the first one will report.
% 0.52/0.74  % (1434)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1433"
% 0.52/0.74  % (1434)Refutation found. Thanks to Tanya!
% 0.52/0.74  % SZS status Theorem for Vampire---4
% 0.52/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.74  % (1434)------------------------------
% 0.52/0.74  % (1434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (1434)Termination reason: Refutation
% 0.52/0.74  
% 0.52/0.74  % (1434)Memory used [KB]: 1674
% 0.52/0.74  % (1434)Time elapsed: 0.004 s
% 0.52/0.74  % (1434)Instructions burned: 7 (million)
% 0.52/0.74  % (1433)Success in time 0.384 s
% 0.52/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------