TSTP Solution File: SYN409+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN409+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n008.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 11:57:17 EDT 2024

% Result   : Theorem 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (   1 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   80 (  32   ~;  30   |;   9   &)
%                                         (   6 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  22   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f29,f31,f33,f35]) ).

fof(f35,plain,
    ( spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f34]) ).

fof(f34,plain,
    ( $false
    | spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f23,f27]) ).

fof(f27,plain,
    ( ! [X5] : f(X5)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl3_4
  <=> ! [X5] : f(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f23,plain,
    ( ~ f(sK1)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl3_3
  <=> f(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f33,plain,
    ( spl3_2
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | spl3_2
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f19,f27]) ).

fof(f19,plain,
    ( ~ f(sK0)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl3_2
  <=> f(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f31,plain,
    ( spl3_1
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f30]) ).

fof(f30,plain,
    ( $false
    | spl3_1
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f15,f27]) ).

fof(f15,plain,
    ( ~ f(sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl3_1
  <=> f(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f29,plain,
    ( spl3_4
    | spl3_4 ),
    inference(avatar_split_clause,[],[f9,f26,f26]) ).

fof(f9,plain,
    ! [X3,X5] :
      ( f(X3)
      | f(X5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ( ~ f(sK1)
      | ~ f(sK0)
      | ~ f(sK2) )
    & ( ! [X3,X4] :
          ( f(X4)
          & f(X3) )
      | ! [X5] : f(X5) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f7,f6]) ).

fof(f6,plain,
    ( ? [X0,X1] :
        ( ~ f(X1)
        | ~ f(X0) )
   => ( ~ f(sK1)
      | ~ f(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X2] : ~ f(X2)
   => ~ f(sK2) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ( ? [X0,X1] :
          ( ~ f(X1)
          | ~ f(X0) )
      | ? [X2] : ~ f(X2) )
    & ( ! [X3,X4] :
          ( f(X4)
          & f(X3) )
      | ! [X5] : f(X5) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ( ( ? [X1,X2] :
          ( ~ f(X2)
          | ~ f(X1) )
      | ? [X0] : ~ f(X0) )
    & ( ! [X1,X2] :
          ( f(X2)
          & f(X1) )
      | ! [X0] : f(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,plain,
    ( ! [X0] : f(X0)
  <~> ! [X1,X2] :
        ( f(X2)
        & f(X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] : f(X0)
    <=> ! [X1,X2] :
          ( f(X2)
          & f(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] : f(X0)
  <=> ! [X1,X2] :
        ( f(X2)
        & f(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.B5xgMENTj8/Vampire---4.8_5925',kalish246) ).

fof(f24,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f11,f21,f17,f13]) ).

fof(f11,plain,
    ( ~ f(sK1)
    | ~ f(sK0)
    | ~ f(sK2) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN409+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n008.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 18:02:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.16/0.37  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.B5xgMENTj8/Vampire---4.8_5925
% 0.60/0.83  % (6292)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)
% 0.60/0.83  % (6292)First to succeed.
% 0.60/0.83  % (6287)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.83  % (6292)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6113"
% 0.60/0.83  % (6288)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)
% 0.60/0.83  % (6285)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)
% 0.60/0.83  % (6286)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)
% 0.60/0.83  % (6289)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)
% 0.60/0.83  % (6290)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)
% 0.60/0.83  % (6291)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)
% 0.60/0.83  % (6292)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Theorem for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (6292)------------------------------
% 0.60/0.83  % (6292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (6292)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (6292)Memory used [KB]: 965
% 0.60/0.83  % (6292)Time elapsed: 0.002 s
% 0.60/0.83  % (6292)Instructions burned: 2 (million)
% 0.60/0.83  % (6113)Success in time 0.448 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------