TSTP Solution File: SEU171+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU171+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 : n028.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 09:20:43 EDT 2024

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   41 (  15 unt;   0 def)
%            Number of atoms       :   95 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   95 (  41   ~;  22   |;  13   &)
%                                         (   8 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   49 (  43   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f209,plain,
    $false,
    inference(avatar_sat_refutation,[],[f87,f195,f199]) ).

fof(f199,plain,
    ~ spl10_1,
    inference(avatar_split_clause,[],[f98,f75]) ).

fof(f75,plain,
    ( spl10_1
  <=> empty(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f98,plain,
    ~ empty(sK0),
    inference(unit_resulting_resolution,[],[f67,f40,f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & X0 != X1
        & empty(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.zL7eBgVAVL/Vampire---4.8_22190',t8_boole) ).

fof(f40,plain,
    empty_set != sK0,
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(X0,X1))
              & ~ in(X2,X1)
              & element(X2,X0) )
          & element(X1,powerset(X0)) )
      & empty_set != X0 ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(X0,X1))
              & ~ in(X2,X1)
              & element(X2,X0) )
          & element(X1,powerset(X0)) )
      & empty_set != X0 ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ! [X0] :
        ( empty_set != X0
       => ! [X1] :
            ( element(X1,powerset(X0))
           => ! [X2] :
                ( element(X2,X0)
               => ( ~ in(X2,X1)
                 => in(X2,subset_complement(X0,X1)) ) ) ) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ! [X0] :
      ( empty_set != X0
     => ! [X1] :
          ( element(X1,powerset(X0))
         => ! [X2] :
              ( element(X2,X0)
             => ( ~ in(X2,X1)
               => in(X2,subset_complement(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zL7eBgVAVL/Vampire---4.8_22190',t50_subset_1) ).

fof(f67,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/tmp/tmp.zL7eBgVAVL/Vampire---4.8_22190',fc1_xboole_0) ).

fof(f195,plain,
    ~ spl10_3,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f191,f169]) ).

fof(f169,plain,
    ( in(sK2,set_difference(sK0,sK1))
    | ~ spl10_3 ),
    inference(unit_resulting_resolution,[],[f102,f71]) ).

fof(f71,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_difference(X0,X1))
      | ~ sP4(X3,X1,X0) ),
    inference(equality_resolution,[],[f46]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | in(X3,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zL7eBgVAVL/Vampire---4.8_22190',d4_xboole_0) ).

fof(f102,plain,
    ( sP4(sK2,sK1,sK0)
    | ~ spl10_3 ),
    inference(unit_resulting_resolution,[],[f37,f86,f43]) ).

fof(f43,plain,
    ! [X3,X0,X1] :
      ( sP4(X3,X1,X0)
      | in(X3,X1)
      | ~ in(X3,X0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f86,plain,
    ( in(sK2,sK0)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl10_3
  <=> in(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f37,plain,
    ~ in(sK2,sK1),
    inference(cnf_transformation,[],[f26]) ).

fof(f191,plain,
    ~ in(sK2,set_difference(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f37,f141,f43]) ).

fof(f141,plain,
    ! [X0] : ~ sP4(sK2,X0,set_difference(sK0,sK1)),
    inference(forward_demodulation,[],[f140,f120]) ).

fof(f120,plain,
    subset_complement(sK0,sK1) = set_difference(sK0,sK1),
    inference(unit_resulting_resolution,[],[f39,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | set_difference(X0,X1) = subset_complement(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( set_difference(X0,X1) = subset_complement(X0,X1)
      | ~ element(X1,powerset(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => set_difference(X0,X1) = subset_complement(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zL7eBgVAVL/Vampire---4.8_22190',d5_subset_1) ).

fof(f39,plain,
    element(sK1,powerset(sK0)),
    inference(cnf_transformation,[],[f26]) ).

fof(f140,plain,
    ! [X0] : ~ sP4(sK2,X0,subset_complement(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f38,f44]) ).

fof(f44,plain,
    ! [X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | in(X3,X0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f38,plain,
    ~ in(sK2,subset_complement(sK0,sK1)),
    inference(cnf_transformation,[],[f26]) ).

fof(f87,plain,
    ( spl10_1
    | spl10_3 ),
    inference(avatar_split_clause,[],[f73,f84,f75]) ).

fof(f73,plain,
    ( in(sK2,sK0)
    | empty(sK0) ),
    inference(resolution,[],[f36,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | in(X1,X0)
      | empty(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ( element(X1,X0)
        <=> empty(X1) )
        | ~ empty(X0) )
      & ( ( element(X1,X0)
        <=> in(X1,X0) )
        | empty(X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ( empty(X0)
       => ( element(X1,X0)
        <=> empty(X1) ) )
      & ( ~ empty(X0)
       => ( element(X1,X0)
        <=> in(X1,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zL7eBgVAVL/Vampire---4.8_22190',d2_subset_1) ).

fof(f36,plain,
    element(sK2,sK0),
    inference(cnf_transformation,[],[f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SEU171+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11  % 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
% 0.11/0.30  % Computer : n028.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Fri May  3 12:02:18 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.31  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.zL7eBgVAVL/Vampire---4.8_22190
% 0.54/0.73  % (22298)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)
% 0.54/0.73  % (22299)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)
% 0.54/0.73  % (22300)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.73  % (22301)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)
% 0.54/0.73  % (22302)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)
% 0.54/0.73  % (22303)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)
% 0.54/0.73  % (22305)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)
% 0.54/0.73  % (22305)Refutation not found, incomplete strategy% (22305)------------------------------
% 0.54/0.73  % (22305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (22305)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  % (22302)Refutation not found, incomplete strategy% (22302)------------------------------
% 0.54/0.73  % (22302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (22302)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (22302)Memory used [KB]: 1046
% 0.54/0.73  % (22302)Time elapsed: 0.003 s
% 0.54/0.73  % (22302)Instructions burned: 4 (million)
% 0.54/0.73  
% 0.54/0.73  % (22305)Memory used [KB]: 1044
% 0.54/0.73  % (22305)Time elapsed: 0.003 s
% 0.54/0.73  % (22305)Instructions burned: 3 (million)
% 0.54/0.73  % (22302)------------------------------
% 0.54/0.73  % (22302)------------------------------
% 0.54/0.73  % (22305)------------------------------
% 0.54/0.73  % (22305)------------------------------
% 0.54/0.73  % (22304)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)
% 0.54/0.73  % (22303)Refutation not found, incomplete strategy% (22303)------------------------------
% 0.54/0.73  % (22303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (22303)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (22303)Memory used [KB]: 1052
% 0.54/0.73  % (22303)Time elapsed: 0.004 s
% 0.54/0.73  % (22303)Instructions burned: 4 (million)
% 0.54/0.73  % (22303)------------------------------
% 0.54/0.73  % (22303)------------------------------
% 0.54/0.73  % (22307)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.54/0.73  % (22306)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)
% 0.54/0.73  % (22304)First to succeed.
% 0.54/0.73  % (22308)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.54/0.73  % (22304)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22297"
% 0.54/0.74  % (22304)Refutation found. Thanks to Tanya!
% 0.54/0.74  % SZS status Theorem for Vampire---4
% 0.54/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74  % (22304)------------------------------
% 0.54/0.74  % (22304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (22304)Termination reason: Refutation
% 0.54/0.74  
% 0.54/0.74  % (22304)Memory used [KB]: 1070
% 0.54/0.74  % (22304)Time elapsed: 0.006 s
% 0.54/0.74  % (22304)Instructions burned: 8 (million)
% 0.54/0.74  % (22297)Success in time 0.423 s
% 0.54/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------