TSTP Solution File: SEU264+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU264+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 : n006.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 09:21:39 EDT 2024

% Result   : Theorem 0.65s 0.81s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (   6 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   84 (  35   ~;  25   |;  13   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   63 (  51   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(avatar_sat_refutation,[],[f66,f82,f86]) ).

fof(f86,plain,
    ~ spl7_1,
    inference(avatar_contradiction_clause,[],[f83]) ).

fof(f83,plain,
    ( $false
    | ~ spl7_1 ),
    inference(resolution,[],[f61,f40]) ).

fof(f40,plain,
    relation_of2_as_subset(sK3,sK2,sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ~ relation_of2_as_subset(sK3,sK2,sK1)
    & subset(sK0,sK1)
    & relation_of2_as_subset(sK3,sK2,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f23,f30]) ).

fof(f30,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ relation_of2_as_subset(X3,X2,X1)
        & subset(X0,X1)
        & relation_of2_as_subset(X3,X2,X0) )
   => ( ~ relation_of2_as_subset(sK3,sK2,sK1)
      & subset(sK0,sK1)
      & relation_of2_as_subset(sK3,sK2,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0,X1,X2,X3] :
      ( ~ relation_of2_as_subset(X3,X2,X1)
      & subset(X0,X1)
      & relation_of2_as_subset(X3,X2,X0) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ? [X0,X1,X2,X3] :
      ( ~ relation_of2_as_subset(X3,X2,X1)
      & subset(X0,X1)
      & relation_of2_as_subset(X3,X2,X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( relation_of2_as_subset(X3,X2,X0)
       => ( subset(X0,X1)
         => relation_of2_as_subset(X3,X2,X1) ) ),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X0,X1,X2,X3] :
      ( relation_of2_as_subset(X3,X2,X0)
     => ( subset(X0,X1)
       => relation_of2_as_subset(X3,X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wR07G84pBg/Vampire---4.8_15039',t16_relset_1) ).

fof(f61,plain,
    ( ! [X0] : ~ relation_of2_as_subset(sK3,sK2,X0)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl7_1
  <=> ! [X0] : ~ relation_of2_as_subset(sK3,sK2,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f82,plain,
    spl7_2,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f81,plain,
    ( $false
    | spl7_2 ),
    inference(subsumption_resolution,[],[f78,f41]) ).

fof(f41,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f78,plain,
    ( ~ subset(sK0,sK1)
    | spl7_2 ),
    inference(resolution,[],[f74,f40]) ).

fof(f74,plain,
    ( ! [X0,X1] :
        ( ~ relation_of2_as_subset(sK3,X1,X0)
        | ~ subset(X0,sK1) )
    | spl7_2 ),
    inference(resolution,[],[f68,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( subset(relation_rng(X2),X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ( subset(relation_rng(X2),X1)
        & subset(relation_dom(X2),X0) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( subset(relation_rng(X2),X1)
        & subset(relation_dom(X2),X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wR07G84pBg/Vampire---4.8_15039',t12_relset_1) ).

fof(f68,plain,
    ( ! [X0] :
        ( ~ subset(relation_rng(sK3),X0)
        | ~ subset(X0,sK1) )
    | spl7_2 ),
    inference(resolution,[],[f65,f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( ( subset(X1,X2)
        & subset(X0,X1) )
     => subset(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wR07G84pBg/Vampire---4.8_15039',t1_xboole_1) ).

fof(f65,plain,
    ( ~ subset(relation_rng(sK3),sK1)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl7_2
  <=> subset(relation_rng(sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f66,plain,
    ( spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f58,f63,f60]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ subset(relation_rng(sK3),sK1)
      | ~ relation_of2_as_subset(sK3,sK2,X0) ),
    inference(resolution,[],[f43,f42]) ).

fof(f42,plain,
    ~ relation_of2_as_subset(sK3,sK2,sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] :
      ( relation_of2_as_subset(X3,X2,X1)
      | ~ subset(relation_rng(X3),X1)
      | ~ relation_of2_as_subset(X3,X2,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( relation_of2_as_subset(X3,X2,X1)
      | ~ subset(relation_rng(X3),X1)
      | ~ relation_of2_as_subset(X3,X2,X0) ),
    inference(flattening,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3] :
      ( relation_of2_as_subset(X3,X2,X1)
      | ~ subset(relation_rng(X3),X1)
      | ~ relation_of2_as_subset(X3,X2,X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( relation_of2_as_subset(X3,X2,X0)
     => ( subset(relation_rng(X3),X1)
       => relation_of2_as_subset(X3,X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wR07G84pBg/Vampire---4.8_15039',t14_relset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14  % 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
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 11:18:19 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_NEQ 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.wR07G84pBg/Vampire---4.8_15039
% 0.61/0.81  % (15451)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 (2995ds/56Mi)
% 0.61/0.81  % (15451)Refutation not found, incomplete strategy% (15451)------------------------------
% 0.61/0.81  % (15451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (15451)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (15451)Memory used [KB]: 964
% 0.61/0.81  % (15451)Time elapsed: 0.002 s
% 0.61/0.81  % (15451)Instructions burned: 2 (million)
% 0.61/0.81  % (15444)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 (2995ds/34Mi)
% 0.61/0.81  % (15451)------------------------------
% 0.61/0.81  % (15451)------------------------------
% 0.61/0.81  % (15445)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 (2995ds/51Mi)
% 0.61/0.81  % (15446)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (15447)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81  % (15448)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 (2995ds/34Mi)
% 0.61/0.81  % (15449)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81  % (15450)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 (2995ds/83Mi)
% 0.61/0.81  % (15449)Refutation not found, incomplete strategy% (15449)------------------------------
% 0.61/0.81  % (15449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (15447)Refutation not found, incomplete strategy% (15447)------------------------------
% 0.61/0.81  % (15447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (15449)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (15449)Memory used [KB]: 964
% 0.61/0.81  % (15449)Time elapsed: 0.002 s
% 0.61/0.81  % (15449)Instructions burned: 2 (million)
% 0.61/0.81  % (15447)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (15447)Memory used [KB]: 966
% 0.61/0.81  % (15447)Time elapsed: 0.003 s
% 0.61/0.81  % (15447)Instructions burned: 2 (million)
% 0.61/0.81  % (15449)------------------------------
% 0.61/0.81  % (15449)------------------------------
% 0.61/0.81  % (15447)------------------------------
% 0.61/0.81  % (15447)------------------------------
% 0.61/0.81  % (15450)Refutation not found, incomplete strategy% (15450)------------------------------
% 0.61/0.81  % (15450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (15450)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (15450)Memory used [KB]: 966
% 0.61/0.81  % (15450)Time elapsed: 0.003 s
% 0.61/0.81  % (15450)Instructions burned: 2 (million)
% 0.61/0.81  % (15450)------------------------------
% 0.61/0.81  % (15450)------------------------------
% 0.61/0.81  % (15448)Also succeeded, but the first one will report.
% 0.61/0.81  % (15446)First to succeed.
% 0.65/0.81  % (15454)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 (2995ds/55Mi)
% 0.65/0.81  % (15446)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15272"
% 0.65/0.81  % (15446)Refutation found. Thanks to Tanya!
% 0.65/0.81  % SZS status Theorem for Vampire---4
% 0.65/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.81  % (15446)------------------------------
% 0.65/0.81  % (15446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (15446)Termination reason: Refutation
% 0.65/0.81  
% 0.65/0.81  % (15446)Memory used [KB]: 991
% 0.65/0.81  % (15446)Time elapsed: 0.004 s
% 0.65/0.81  % (15446)Instructions burned: 4 (million)
% 0.65/0.81  % (15272)Success in time 0.441 s
% 0.65/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------