%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU204+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/sandbox2/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 09:20:58 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   9 unt;   0 def)
%            Number of atoms       :   61 (   6 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   57 (  22   ~;  17   |;   3   &)
%                                         (  10 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   53 (  47   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f228,plain,
    $false,
    inference(subsumption_resolution,[],[f225,f129]) ).

fof(f129,plain,
    ! [X0] : ~ in(ordered_pair(X0,sK10(relation_image(sK1,sK0),relation_rng(sK1))),sK1),
    inference(unit_resulting_resolution,[],[f126,f79]) ).

fof(f79,plain,
    ! [X2,X3,X0] :
      ( ~ in(ordered_pair(X3,X2),X0)
      | sP8(X2,X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Dw1wd3AKij/Vampire---4.8_14727',d5_relat_1) ).

fof(f126,plain,
    ~ sP8(sK10(relation_image(sK1,sK0),relation_rng(sK1)),sK1),
    inference(unit_resulting_resolution,[],[f61,f115,f109]) ).

fof(f109,plain,
    ! [X2,X0] :
      ( in(X2,relation_rng(X0))
      | ~ sP8(X2,X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f80]) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | ~ sP8(X2,X0)
      | in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f115,plain,
    ~ in(sK10(relation_image(sK1,sK0),relation_rng(sK1)),relation_rng(sK1)),
    inference(unit_resulting_resolution,[],[f62,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ in(sK10(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Dw1wd3AKij/Vampire---4.8_14727',d3_tarski) ).

fof(f62,plain,
    ~ subset(relation_image(sK1,sK0),relation_rng(sK1)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ? [X0,X1] :
      ( ~ subset(relation_image(X1,X0),relation_rng(X1))
      & relation(X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => subset(relation_image(X1,X0),relation_rng(X1)) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => subset(relation_image(X1,X0),relation_rng(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Dw1wd3AKij/Vampire---4.8_14727',t144_relat_1) ).

fof(f61,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f43]) ).

fof(f225,plain,
    in(ordered_pair(sK4(sK1,sK0,sK10(relation_image(sK1,sK0),relation_rng(sK1))),sK10(relation_image(sK1,sK0),relation_rng(sK1))),sK1),
    inference(unit_resulting_resolution,[],[f132,f64]) ).

fof(f64,plain,
    ! [X3,X0,X1] :
      ( in(ordered_pair(sK4(X0,X1,X3),X3),X0)
      | ~ sP3(X3,X1,X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Dw1wd3AKij/Vampire---4.8_14727',d13_relat_1) ).

fof(f132,plain,
    sP3(sK10(relation_image(sK1,sK0),relation_rng(sK1)),sK0,sK1),
    inference(unit_resulting_resolution,[],[f61,f114,f106]) ).

fof(f106,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,relation_image(X0,X1))
      | sP3(X3,X1,X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f67]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | sP3(X3,X1,X0)
      | ~ in(X3,X2)
      | relation_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f114,plain,
    in(sK10(relation_image(sK1,sK0),relation_rng(sK1)),relation_image(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f62,f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( in(sK10(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU204+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n003.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   : Fri May  3 11:08:05 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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/tmp/tmp.Dw1wd3AKij/Vampire---4.8_14727
% 0.56/0.74  % (14842)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)
% 0.56/0.74  % (14836)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)
% 0.56/0.74  % (14838)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (14837)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)
% 0.56/0.74  % (14839)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)
% 0.56/0.74  % (14840)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)
% 0.56/0.74  % (14841)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)
% 0.56/0.74  % (14841)Refutation not found, incomplete strategy% (14841)------------------------------
% 0.56/0.74  % (14841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (14841)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (14841)Memory used [KB]: 1037
% 0.56/0.74  % (14841)Time elapsed: 0.003 s
% 0.56/0.74  % (14842)First to succeed.
% 0.56/0.74  % (14841)Instructions burned: 4 (million)
% 0.56/0.74  % (14842)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14834"
% 0.56/0.74  % (14841)------------------------------
% 0.56/0.74  % (14841)------------------------------
% 0.56/0.75  % (14842)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (14842)------------------------------
% 0.56/0.75  % (14842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (14842)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (14842)Memory used [KB]: 1118
% 0.56/0.75  % (14842)Time elapsed: 0.005 s
% 0.56/0.75  % (14842)Instructions burned: 9 (million)
% 0.56/0.75  % (14834)Success in time 0.374 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------