TSTP Solution File: SYN052+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN052+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 : n022.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 04:33:03 EDT 2024

% Result   : Theorem 0.64s 0.80s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (   1 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   96 (  37   ~;  33   |;  13   &)
%                                         (   9 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   25 (  21   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(avatar_sat_refutation,[],[f21,f25,f29,f30,f32,f34]) ).

fof(f34,plain,
    ( spl1_2
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f33]) ).

fof(f33,plain,
    ( $false
    | spl1_2
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f20,f24]) ).

fof(f24,plain,
    ( ! [X1] : big_f(X1)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl1_3
  <=> ! [X1] : big_f(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f20,plain,
    ( ~ big_f(sK0)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl1_2
  <=> big_f(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f32,plain,
    ( ~ spl1_3
    | ~ spl1_4 ),
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f24,f28]) ).

fof(f28,plain,
    ( ! [X2] : ~ big_f(X2)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl1_4
  <=> ! [X2] : ~ big_f(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f30,plain,
    ( ~ spl1_1
    | spl1_3 ),
    inference(avatar_split_clause,[],[f9,f23,f14]) ).

fof(f14,plain,
    ( spl1_1
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f9,plain,
    ! [X2] :
      ( big_f(X2)
      | ~ p ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ( ~ big_f(sK0)
      | ~ p )
    & ( ! [X1] : big_f(X1)
      | p )
    & ! [X2] :
        ( ( p
          | ~ big_f(X2) )
        & ( big_f(X2)
          | ~ p ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).

fof(f7,plain,
    ( ? [X0] : ~ big_f(X0)
   => ~ big_f(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ( ? [X0] : ~ big_f(X0)
      | ~ p )
    & ( ! [X1] : big_f(X1)
      | p )
    & ! [X2] :
        ( ( p
          | ~ big_f(X2) )
        & ( big_f(X2)
          | ~ p ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ( ? [X1] : ~ big_f(X1)
      | ~ p )
    & ( ! [X1] : big_f(X1)
      | p )
    & ! [X0] :
        ( ( p
          | ~ big_f(X0) )
        & ( big_f(X0)
          | ~ p ) ) ),
    inference(flattening,[],[f4]) ).

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

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

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( p
        <=> big_f(X0) )
     => ( p
      <=> ! [X1] : big_f(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
        ( p
      <=> big_f(X0) )
   => ( p
    <=> ! [X1] : big_f(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.XLVRkp4s2E/Vampire---4.8_5650',pel22) ).

fof(f29,plain,
    ( spl1_4
    | spl1_1 ),
    inference(avatar_split_clause,[],[f10,f14,f27]) ).

fof(f10,plain,
    ! [X2] :
      ( p
      | ~ big_f(X2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f25,plain,
    ( spl1_1
    | spl1_3 ),
    inference(avatar_split_clause,[],[f11,f23,f14]) ).

fof(f11,plain,
    ! [X1] :
      ( big_f(X1)
      | p ),
    inference(cnf_transformation,[],[f8]) ).

fof(f21,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f12,f18,f14]) ).

fof(f12,plain,
    ( ~ big_f(sK0)
    | ~ p ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN052+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 17:18:43 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  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.XLVRkp4s2E/Vampire---4.8_5650
% 0.64/0.80  % (5856)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.80  % (5855)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)
% 0.64/0.80  % (5854)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)
% 0.64/0.80  % (5857)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)
% 0.64/0.80  % (5859)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)
% 0.64/0.80  % (5858)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)
% 0.64/0.80  % (5860)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)
% 0.64/0.80  % (5856)First to succeed.
% 0.64/0.80  % (5861)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)
% 0.64/0.80  % (5855)Also succeeded, but the first one will report.
% 0.64/0.80  % (5860)Also succeeded, but the first one will report.
% 0.64/0.80  % (5856)Refutation found. Thanks to Tanya!
% 0.64/0.80  % SZS status Theorem for Vampire---4
% 0.64/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.80  % (5856)------------------------------
% 0.64/0.80  % (5856)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.80  % (5856)Termination reason: Refutation
% 0.64/0.80  
% 0.64/0.80  % (5856)Memory used [KB]: 972
% 0.64/0.80  % (5856)Time elapsed: 0.003 s
% 0.64/0.80  % (5856)Instructions burned: 2 (million)
% 0.64/0.80  % (5856)------------------------------
% 0.64/0.80  % (5856)------------------------------
% 0.64/0.80  % (5822)Success in time 0.437 s
% 0.64/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------