TSTP Solution File: SEU094+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : 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 : Wed May  1 03:50:02 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   54 (   3 unt;   0 def)
%            Number of atoms       :  146 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  154 (  62   ~;  70   |;   7   &)
%                                         (   8 <=>;   6  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   35 (  32   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f315,plain,
    $false,
    inference(avatar_sat_refutation,[],[f151,f156,f161,f165,f186,f218,f312]) ).

fof(f312,plain,
    ( ~ spl13_1
    | spl13_2
    | ~ spl13_5 ),
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | ~ spl13_1
    | spl13_2
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f310,f149]) ).

fof(f149,plain,
    ( ~ finite(union(sK0))
    | spl13_2 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl13_2
  <=> finite(union(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f310,plain,
    ( finite(union(sK0))
    | ~ spl13_1
    | spl13_2
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f309,f146]) ).

fof(f146,plain,
    ( finite(sK0)
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl13_1
  <=> finite(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f309,plain,
    ( ~ finite(sK0)
    | finite(union(sK0))
    | ~ spl13_1
    | spl13_2
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f302,f228]) ).

fof(f228,plain,
    ( ~ finite(sK2(sK0))
    | ~ spl13_1
    | spl13_2 ),
    inference(unit_resulting_resolution,[],[f146,f149,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ finite(sK2(X0))
      | ~ finite(X0)
      | finite(union(X0)) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( finite(union(X0))
      | ? [X1] :
          ( ~ finite(X1)
          & in(X1,X0) )
      | ~ finite(X0) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( finite(union(X0))
      | ? [X1] :
          ( ~ finite(X1)
          & in(X1,X0) )
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( in(X1,X0)
           => finite(X1) )
        & finite(X0) )
     => finite(union(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.fwU3oWh26X/Vampire---4.8_10586',l22_finset_1) ).

fof(f302,plain,
    ( finite(sK2(sK0))
    | ~ finite(sK0)
    | finite(union(sK0))
    | ~ spl13_5 ),
    inference(resolution,[],[f164,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( in(sK2(X0),X0)
      | ~ finite(X0)
      | finite(union(X0)) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f164,plain,
    ( ! [X1] :
        ( ~ in(X1,sK0)
        | finite(X1) )
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f163,plain,
    ( spl13_5
  <=> ! [X1] :
        ( ~ in(X1,sK0)
        | finite(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f218,plain,
    ( ~ spl13_2
    | spl13_3
    | ~ spl13_4 ),
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | ~ spl13_2
    | spl13_3
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f212,f192]) ).

fof(f192,plain,
    ( ~ subset(sK1,union(sK0))
    | ~ spl13_2
    | spl13_3 ),
    inference(unit_resulting_resolution,[],[f150,f155,f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ finite(X1)
      | finite(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( finite(X0)
      | ~ finite(X1)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( finite(X0)
      | ~ finite(X1)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( ( finite(X1)
        & subset(X0,X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.fwU3oWh26X/Vampire---4.8_10586',t13_finset_1) ).

fof(f155,plain,
    ( ~ finite(sK1)
    | spl13_3 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl13_3
  <=> finite(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f150,plain,
    ( finite(union(sK0))
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f212,plain,
    ( subset(sK1,union(sK0))
    | ~ spl13_4 ),
    inference(unit_resulting_resolution,[],[f160,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( subset(X0,union(X1))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( subset(X0,union(X1))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.fwU3oWh26X/Vampire---4.8_10586',t92_zfmisc_1) ).

fof(f160,plain,
    ( in(sK1,sK0)
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl13_4
  <=> in(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f186,plain,
    ( spl13_1
    | ~ spl13_2 ),
    inference(avatar_contradiction_clause,[],[f185]) ).

fof(f185,plain,
    ( $false
    | spl13_1
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f184,f167]) ).

fof(f167,plain,
    ( ~ finite(powerset(union(sK0)))
    | spl13_1 ),
    inference(unit_resulting_resolution,[],[f98,f145,f126]) ).

fof(f145,plain,
    ( ~ finite(sK0)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f98,plain,
    ! [X0] : subset(X0,powerset(union(X0))),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] : subset(X0,powerset(union(X0))),
    file('/export/starexec/sandbox2/tmp/tmp.fwU3oWh26X/Vampire---4.8_10586',t100_zfmisc_1) ).

fof(f184,plain,
    ( finite(powerset(union(sK0)))
    | ~ spl13_2 ),
    inference(unit_resulting_resolution,[],[f150,f105]) ).

fof(f105,plain,
    ! [X0] :
      ( finite(powerset(X0))
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( finite(X0)
    <=> finite(powerset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.fwU3oWh26X/Vampire---4.8_10586',t24_finset_1) ).

fof(f165,plain,
    ( spl13_5
    | spl13_2 ),
    inference(avatar_split_clause,[],[f87,f148,f163]) ).

fof(f87,plain,
    ! [X1] :
      ( finite(union(sK0))
      | ~ in(X1,sK0)
      | finite(X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ? [X0] :
      ( ( ! [X1] :
            ( finite(X1)
            | ~ in(X1,X0) )
        & finite(X0) )
    <~> finite(union(X0)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,negated_conjecture,
    ~ ! [X0] :
        ( ( ! [X1] :
              ( in(X1,X0)
             => finite(X1) )
          & finite(X0) )
      <=> finite(union(X0)) ),
    inference(negated_conjecture,[],[f52]) ).

fof(f52,conjecture,
    ! [X0] :
      ( ( ! [X1] :
            ( in(X1,X0)
           => finite(X1) )
        & finite(X0) )
    <=> finite(union(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.fwU3oWh26X/Vampire---4.8_10586',t25_finset_1) ).

fof(f161,plain,
    ( spl13_4
    | ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f88,f148,f144,f158]) ).

fof(f88,plain,
    ( ~ finite(union(sK0))
    | ~ finite(sK0)
    | in(sK1,sK0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f156,plain,
    ( ~ spl13_3
    | ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f89,f148,f144,f153]) ).

fof(f89,plain,
    ( ~ finite(union(sK0))
    | ~ finite(sK0)
    | ~ finite(sK1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f151,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f90,f148,f144]) ).

fof(f90,plain,
    ( finite(union(sK0))
    | finite(sK0) ),
    inference(cnf_transformation,[],[f63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.11  % 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
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 16:34:15 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  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.fwU3oWh26X/Vampire---4.8_10586
% 0.60/0.78  % (10704)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)
% 0.60/0.78  % (10703)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (10701)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)
% 0.60/0.78  % (10706)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)
% 0.60/0.78  % (10702)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)
% 0.60/0.78  % (10705)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)
% 0.60/0.78  % (10707)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)
% 0.60/0.78  % (10708)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)
% 0.60/0.79  % (10706)Refutation not found, incomplete strategy% (10706)------------------------------
% 0.60/0.79  % (10706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10706)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (10706)Memory used [KB]: 1056
% 0.60/0.79  % (10706)Time elapsed: 0.003 s
% 0.60/0.79  % (10706)Instructions burned: 3 (million)
% 0.60/0.79  % (10708)Refutation not found, incomplete strategy% (10708)------------------------------
% 0.60/0.79  % (10708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10706)------------------------------
% 0.60/0.79  % (10706)------------------------------
% 0.60/0.79  % (10708)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (10708)Memory used [KB]: 1053
% 0.60/0.79  % (10708)Time elapsed: 0.003 s
% 0.60/0.79  % (10708)Instructions burned: 3 (million)
% 0.60/0.79  % (10708)------------------------------
% 0.60/0.79  % (10708)------------------------------
% 0.60/0.79  % (10705)Refutation not found, incomplete strategy% (10705)------------------------------
% 0.60/0.79  % (10705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10705)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (10705)Memory used [KB]: 1142
% 0.60/0.79  % (10705)Time elapsed: 0.004 s
% 0.60/0.79  % (10705)Instructions burned: 5 (million)
% 0.60/0.79  % (10705)------------------------------
% 0.60/0.79  % (10705)------------------------------
% 0.60/0.79  % (10707)First to succeed.
% 0.60/0.79  % (10703)Also succeeded, but the first one will report.
% 0.60/0.79  % (10707)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (10707)------------------------------
% 0.60/0.79  % (10707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10707)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (10707)Memory used [KB]: 1161
% 0.60/0.79  % (10707)Time elapsed: 0.006 s
% 0.60/0.79  % (10707)Instructions burned: 8 (million)
% 0.60/0.79  % (10707)------------------------------
% 0.60/0.79  % (10707)------------------------------
% 0.60/0.79  % (10695)Success in time 0.478 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------