TSTP Solution File: SEU119+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU119+2 : 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 : n015.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 09:20:19 EDT 2024

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (   2 unt;   0 def)
%            Number of atoms       :  143 (  10 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  167 (  77   ~;  63   |;  19   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   55 (  49   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f58,f63,f64,f65,f126,f141,f170]) ).

fof(f170,plain,
    ( ~ spl8_1
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(avatar_contradiction_clause,[],[f169]) ).

fof(f169,plain,
    ( $false
    | ~ spl8_1
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(subsumption_resolution,[],[f168,f45]) ).

fof(f45,plain,
    ! [X1] : ~ in(X1,empty_set),
    inference(equality_resolution,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.H1X0ccnlZ5/Vampire---4.8_17470',d1_xboole_0) ).

fof(f168,plain,
    ( in(sK2,empty_set)
    | ~ spl8_1
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(forward_demodulation,[],[f165,f127]) ).

fof(f127,plain,
    ( empty_set = set_intersection2(sK0,sK1)
    | ~ spl8_1 ),
    inference(unit_resulting_resolution,[],[f49,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | set_intersection2(X0,X1) = empty_set ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( disjoint(X0,X1)
    <=> set_intersection2(X0,X1) = empty_set ),
    file('/export/starexec/sandbox2/tmp/tmp.H1X0ccnlZ5/Vampire---4.8_17470',d7_xboole_0) ).

fof(f49,plain,
    ( disjoint(sK0,sK1)
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl8_1
  <=> disjoint(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f165,plain,
    ( in(sK2,set_intersection2(sK0,sK1))
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(unit_resulting_resolution,[],[f144,f44]) ).

fof(f44,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_intersection2(X0,X1))
      | ~ sP4(X3,X1,X0) ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | in(X3,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.H1X0ccnlZ5/Vampire---4.8_17470',d3_xboole_0) ).

fof(f144,plain,
    ( sP4(sK2,sK1,sK0)
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(unit_resulting_resolution,[],[f57,f62,f25]) ).

fof(f25,plain,
    ! [X3,X0,X1] :
      ( sP4(X3,X1,X0)
      | ~ in(X3,X1)
      | ~ in(X3,X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f62,plain,
    ( in(sK2,sK0)
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl8_4
  <=> in(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

fof(f57,plain,
    ( in(sK2,sK1)
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl8_3
  <=> in(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

fof(f141,plain,
    ( ~ spl8_2
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(avatar_contradiction_clause,[],[f140]) ).

fof(f140,plain,
    ( $false
    | ~ spl8_2
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(subsumption_resolution,[],[f136,f62]) ).

fof(f136,plain,
    ( ~ in(sK2,sK0)
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(resolution,[],[f57,f52]) ).

fof(f52,plain,
    ( ! [X3] :
        ( ~ in(X3,sK1)
        | ~ in(X3,sK0) )
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl8_2
  <=> ! [X3] :
        ( ~ in(X3,sK0)
        | ~ in(X3,sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f126,plain,
    ( spl8_1
    | ~ spl8_2 ),
    inference(avatar_contradiction_clause,[],[f125]) ).

fof(f125,plain,
    ( $false
    | spl8_1
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f119,f114]) ).

fof(f114,plain,
    ( in(sK3(sK0,sK1,empty_set),sK1)
    | spl8_1 ),
    inference(unit_resulting_resolution,[],[f87,f27]) ).

fof(f27,plain,
    ! [X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f87,plain,
    ( sP4(sK3(sK0,sK1,empty_set),sK1,sK0)
    | spl8_1 ),
    inference(unit_resulting_resolution,[],[f45,f66,f30]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( sP4(sK3(X0,X1,X2),X1,X0)
      | in(sK3(X0,X1,X2),X2)
      | set_intersection2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f66,plain,
    ( empty_set != set_intersection2(sK0,sK1)
    | spl8_1 ),
    inference(unit_resulting_resolution,[],[f48,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( disjoint(X0,X1)
      | set_intersection2(X0,X1) != empty_set ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ( ~ disjoint(sK0,sK1)
    | spl8_1 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f119,plain,
    ( ~ in(sK3(sK0,sK1,empty_set),sK1)
    | spl8_1
    | ~ spl8_2 ),
    inference(unit_resulting_resolution,[],[f113,f52]) ).

fof(f113,plain,
    ( in(sK3(sK0,sK1,empty_set),sK0)
    | spl8_1 ),
    inference(unit_resulting_resolution,[],[f87,f26]) ).

fof(f26,plain,
    ! [X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | in(X3,X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f65,plain,
    ( spl8_4
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f20,f47,f60]) ).

fof(f20,plain,
    ( ~ disjoint(sK0,sK1)
    | in(sK2,sK0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ? [X0,X1] :
      ( ( disjoint(X0,X1)
        & ? [X2] :
            ( in(X2,X1)
            & in(X2,X0) ) )
      | ( ! [X3] :
            ( ~ in(X3,X1)
            | ~ in(X3,X0) )
        & ~ disjoint(X0,X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ ! [X0,X1] :
        ( ~ ( disjoint(X0,X1)
            & ? [X2] :
                ( in(X2,X1)
                & in(X2,X0) ) )
        & ~ ( ! [X3] :
                ~ ( in(X3,X1)
                  & in(X3,X0) )
            & ~ disjoint(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1] :
        ( ~ ( disjoint(X0,X1)
            & ? [X2] :
                ( in(X2,X1)
                & in(X2,X0) ) )
        & ~ ( ! [X2] :
                ~ ( in(X2,X1)
                  & in(X2,X0) )
            & ~ disjoint(X0,X1) ) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X0,X1] :
      ( ~ ( disjoint(X0,X1)
          & ? [X2] :
              ( in(X2,X1)
              & in(X2,X0) ) )
      & ~ ( ! [X2] :
              ~ ( in(X2,X1)
                & in(X2,X0) )
          & ~ disjoint(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.H1X0ccnlZ5/Vampire---4.8_17470',t3_xboole_0) ).

fof(f64,plain,
    ( spl8_3
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f21,f47,f55]) ).

fof(f21,plain,
    ( ~ disjoint(sK0,sK1)
    | in(sK2,sK1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f63,plain,
    ( spl8_4
    | spl8_2 ),
    inference(avatar_split_clause,[],[f22,f51,f60]) ).

fof(f22,plain,
    ! [X3] :
      ( ~ in(X3,sK0)
      | ~ in(X3,sK1)
      | in(sK2,sK0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f58,plain,
    ( spl8_3
    | spl8_2 ),
    inference(avatar_split_clause,[],[f23,f51,f55]) ).

fof(f23,plain,
    ! [X3] :
      ( ~ in(X3,sK0)
      | ~ in(X3,sK1)
      | in(sK2,sK1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f53,plain,
    ( spl8_1
    | spl8_2 ),
    inference(avatar_split_clause,[],[f24,f51,f47]) ).

fof(f24,plain,
    ! [X3] :
      ( ~ in(X3,sK0)
      | ~ in(X3,sK1)
      | disjoint(sK0,sK1) ),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU119+2 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.14/0.35  % Computer : n015.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 12:09:21 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.H1X0ccnlZ5/Vampire---4.8_17470
% 0.55/0.73  % (17585)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)
% 0.55/0.73  % (17579)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)
% 0.55/0.73  % (17580)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)
% 0.55/0.73  % (17581)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (17582)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)
% 0.55/0.73  % (17584)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)
% 0.55/0.73  % (17586)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)
% 0.55/0.73  % (17585)First to succeed.
% 0.55/0.73  % (17584)Refutation not found, incomplete strategy% (17584)------------------------------
% 0.55/0.73  % (17584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (17584)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  % (17585)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17577"
% 0.55/0.73  
% 0.55/0.73  % (17584)Memory used [KB]: 982
% 0.55/0.73  % (17584)Time elapsed: 0.003 s
% 0.55/0.73  % (17584)Instructions burned: 3 (million)
% 0.55/0.73  % (17586)Refutation not found, incomplete strategy% (17586)------------------------------
% 0.55/0.73  % (17586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (17586)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (17586)Memory used [KB]: 982
% 0.55/0.73  % (17586)Time elapsed: 0.003 s
% 0.55/0.73  % (17586)Instructions burned: 3 (million)
% 0.55/0.73  % (17584)------------------------------
% 0.55/0.73  % (17584)------------------------------
% 0.55/0.73  % (17586)------------------------------
% 0.55/0.73  % (17586)------------------------------
% 0.55/0.73  % (17585)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Theorem for Vampire---4
% 0.55/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73  % (17585)------------------------------
% 0.55/0.73  % (17585)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (17585)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (17585)Memory used [KB]: 1080
% 0.55/0.73  % (17585)Time elapsed: 0.004 s
% 0.55/0.73  % (17585)Instructions burned: 7 (million)
% 0.55/0.73  % (17577)Success in time 0.373 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------