TSTP Solution File: SET654+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% 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 : n014.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 : Tue May 21 03:12:41 EDT 2024

% Result   : Theorem 0.71s 0.88s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   47 (   9 unt;   0 def)
%            Number of atoms       :  187 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  222 (  82   ~;  66   |;  46   &)
%                                         (   2 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  102 (  78   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f123,plain,
    $false,
    inference(avatar_sat_refutation,[],[f110,f119,f122]) ).

fof(f122,plain,
    ~ spl6_1,
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f120,plain,
    ( $false
    | ~ spl6_1 ),
    inference(resolution,[],[f105,f52]) ).

fof(f52,plain,
    ilf_type(sK3,relation_type(sK2,sK0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ~ ilf_type(sK3,relation_type(sK2,sK1))
    & subset(sK0,sK1)
    & ilf_type(sK3,relation_type(sK2,sK0))
    & ilf_type(sK2,set_type)
    & ilf_type(sK1,set_type)
    & ilf_type(sK0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f27,f41,f40,f39,f38]) ).

fof(f38,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ~ ilf_type(X3,relation_type(X2,X1))
                    & subset(X0,X1)
                    & ilf_type(X3,relation_type(X2,X0)) )
                & ilf_type(X2,set_type) )
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(sK0,X1)
                  & ilf_type(X3,relation_type(X2,sK0)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(sK0,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f39,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ~ ilf_type(X3,relation_type(X2,X1))
                & subset(sK0,X1)
                & ilf_type(X3,relation_type(X2,sK0)) )
            & ilf_type(X2,set_type) )
        & ilf_type(X1,set_type) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ~ ilf_type(X3,relation_type(X2,sK1))
              & subset(sK0,sK1)
              & ilf_type(X3,relation_type(X2,sK0)) )
          & ilf_type(X2,set_type) )
      & ilf_type(sK1,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ~ ilf_type(X3,relation_type(X2,sK1))
            & subset(sK0,sK1)
            & ilf_type(X3,relation_type(X2,sK0)) )
        & ilf_type(X2,set_type) )
   => ( ? [X3] :
          ( ~ ilf_type(X3,relation_type(sK2,sK1))
          & subset(sK0,sK1)
          & ilf_type(X3,relation_type(sK2,sK0)) )
      & ilf_type(sK2,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ( ? [X3] :
        ( ~ ilf_type(X3,relation_type(sK2,sK1))
        & subset(sK0,sK1)
        & ilf_type(X3,relation_type(sK2,sK0)) )
   => ( ~ ilf_type(sK3,relation_type(sK2,sK1))
      & subset(sK0,sK1)
      & ilf_type(sK3,relation_type(sK2,sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(X0,X1)
                  & ilf_type(X3,relation_type(X2,X0)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ ilf_type(X3,relation_type(X2,X1))
                  & subset(X0,X1)
                  & ilf_type(X3,relation_type(X2,X0)) )
              & ilf_type(X2,set_type) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,set_type)
               => ! [X3] :
                    ( ilf_type(X3,relation_type(X2,X0))
                   => ( subset(X0,X1)
                     => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X0))
                 => ( subset(X0,X1)
                   => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_16) ).

fof(f105,plain,
    ( ! [X0] : ~ ilf_type(sK3,relation_type(sK2,X0))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl6_1
  <=> ! [X0] : ~ ilf_type(sK3,relation_type(sK2,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f119,plain,
    spl6_2,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f118,plain,
    ( $false
    | spl6_2 ),
    inference(subsumption_resolution,[],[f115,f53]) ).

fof(f53,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f42]) ).

fof(f115,plain,
    ( ~ subset(sK0,sK1)
    | spl6_2 ),
    inference(resolution,[],[f111,f83]) ).

fof(f83,plain,
    subset(range_of(sK3),sK0),
    inference(resolution,[],[f82,f52]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | subset(range_of(X2),X1) ),
    inference(subsumption_resolution,[],[f81,f55]) ).

fof(f55,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( subset(range_of(X2),X1)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f61,f55]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( subset(range_of(X2),X1)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) )
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(f111,plain,
    ( ! [X0] :
        ( ~ subset(range_of(sK3),X0)
        | ~ subset(X0,sK1) )
    | spl6_2 ),
    inference(resolution,[],[f109,f96]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1) ),
    inference(subsumption_resolution,[],[f95,f55]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f94,f55]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f67,f55]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( ( subset(X1,X2)
                  & subset(X0,X1) )
               => subset(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(f109,plain,
    ( ~ subset(range_of(sK3),sK1)
    | spl6_2 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl6_2
  <=> subset(range_of(sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f110,plain,
    ( spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f100,f107,f104]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ subset(range_of(sK3),sK1)
      | ~ ilf_type(sK3,relation_type(sK2,X0)) ),
    inference(resolution,[],[f99,f54]) ).

fof(f54,plain,
    ~ ilf_type(sK3,relation_type(sK2,sK1)),
    inference(cnf_transformation,[],[f42]) ).

fof(f99,plain,
    ! [X2,X3,X0,X1] :
      ( ilf_type(X3,relation_type(X2,X1))
      | ~ subset(range_of(X3),X1)
      | ~ ilf_type(X3,relation_type(X2,X0)) ),
    inference(subsumption_resolution,[],[f98,f55]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1] :
      ( ilf_type(X3,relation_type(X2,X1))
      | ~ subset(range_of(X3),X1)
      | ~ ilf_type(X3,relation_type(X2,X0))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f97,f55]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1] :
      ( ilf_type(X3,relation_type(X2,X1))
      | ~ subset(range_of(X3),X1)
      | ~ ilf_type(X3,relation_type(X2,X0))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f59,f55]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1] :
      ( ilf_type(X3,relation_type(X2,X1))
      | ~ subset(range_of(X3),X1)
      | ~ ilf_type(X3,relation_type(X2,X0))
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X1))
                  | ~ subset(range_of(X3),X1)
                  | ~ ilf_type(X3,relation_type(X2,X0)) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X1))
                  | ~ subset(range_of(X3),X1)
                  | ~ ilf_type(X3,relation_type(X2,X0)) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,relation_type(X2,X0))
                 => ( subset(range_of(X3),X1)
                   => ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n014.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   : Mon May 20 11:05:23 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  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/benchmark/theBenchmark.p
% 0.71/0.87  % (22069)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.71/0.87  % (22067)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 theBenchmark for (2995ds/34Mi)
% 0.71/0.87  % (22070)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.71/0.87  % (22068)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 theBenchmark for (2995ds/51Mi)
% 0.71/0.87  % (22071)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 theBenchmark for (2995ds/34Mi)
% 0.71/0.87  % (22072)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.71/0.87  % (22073)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 theBenchmark for (2995ds/83Mi)
% 0.71/0.87  % (22074)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.71/0.87  % (22072)Refutation not found, incomplete strategy% (22072)------------------------------
% 0.71/0.87  % (22072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (22072)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (22072)Memory used [KB]: 1021
% 0.71/0.87  % (22072)Time elapsed: 0.002 s
% 0.71/0.87  % (22072)Instructions burned: 2 (million)
% 0.71/0.87  % (22070)Refutation not found, incomplete strategy% (22070)------------------------------
% 0.71/0.87  % (22070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (22070)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (22070)Memory used [KB]: 1023
% 0.71/0.87  % (22070)Time elapsed: 0.003 s
% 0.71/0.87  % (22070)Instructions burned: 2 (million)
% 0.71/0.87  % (22070)------------------------------
% 0.71/0.87  % (22070)------------------------------
% 0.71/0.87  % (22072)------------------------------
% 0.71/0.87  % (22072)------------------------------
% 0.71/0.87  % (22074)Refutation not found, incomplete strategy% (22074)------------------------------
% 0.71/0.87  % (22074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (22074)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (22074)Memory used [KB]: 1021
% 0.71/0.87  % (22074)Time elapsed: 0.002 s
% 0.71/0.87  % (22074)Instructions burned: 2 (million)
% 0.71/0.88  % (22074)------------------------------
% 0.71/0.88  % (22074)------------------------------
% 0.71/0.88  % (22067)First to succeed.
% 0.71/0.88  % (22073)Refutation not found, incomplete strategy% (22073)------------------------------
% 0.71/0.88  % (22073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88  % (22073)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88  
% 0.71/0.88  % (22073)Memory used [KB]: 1046
% 0.71/0.88  % (22073)Time elapsed: 0.004 s
% 0.71/0.88  % (22073)Instructions burned: 4 (million)
% 0.71/0.88  % (22073)------------------------------
% 0.71/0.88  % (22073)------------------------------
% 0.71/0.88  % (22067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22066"
% 0.71/0.88  % (22071)Also succeeded, but the first one will report.
% 0.71/0.88  % (22067)Refutation found. Thanks to Tanya!
% 0.71/0.88  % SZS status Theorem for theBenchmark
% 0.71/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.88  % (22067)------------------------------
% 0.71/0.88  % (22067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88  % (22067)Termination reason: Refutation
% 0.71/0.88  
% 0.71/0.88  % (22067)Memory used [KB]: 1071
% 0.71/0.88  % (22067)Time elapsed: 0.005 s
% 0.71/0.88  % (22067)Instructions burned: 6 (million)
% 0.71/0.88  % (22066)Success in time 0.502 s
% 0.71/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------