TSTP Solution File: SYN399+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN399+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 : Tue May 21 08:22:16 EDT 2024

% Result   : Theorem 0.67s 0.84s
% Output   : Refutation 0.67s
% 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,f26,f30,f32,f34]) ).

fof(f34,plain,
    ( ~ spl1_3
    | ~ spl1_4 ),
    inference(avatar_contradiction_clause,[],[f33]) ).

fof(f33,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f29,f24]) ).

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

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

fof(f29,plain,
    ( ! [X2] : ~ f(X2)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl1_4
  <=> ! [X2] : ~ f(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f32,plain,
    ( spl1_1
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | spl1_1
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f16,f24]) ).

fof(f16,plain,
    ( ~ f(sK0)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl1_1
  <=> f(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f30,plain,
    ( spl1_4
    | spl1_2 ),
    inference(avatar_split_clause,[],[f9,f18,f28]) ).

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

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

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

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

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

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

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

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

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

fof(f1,conjecture,
    ( ! [X0] :
        ( f(X0)
      <=> p )
   => ( ! [X1] : f(X1)
    <=> p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish223) ).

fof(f26,plain,
    ( ~ spl1_2
    | spl1_3 ),
    inference(avatar_split_clause,[],[f10,f23,f18]) ).

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

fof(f25,plain,
    ( spl1_3
    | spl1_2 ),
    inference(avatar_split_clause,[],[f11,f18,f23]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN399+1 : TPTP v8.2.0. Released v2.0.0.
% 0.03/0.14  % 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
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 13:53:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.67/0.84  % (21146)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.67/0.84  % (21144)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 theBenchmark for (2995ds/34Mi)
% 0.67/0.84  % (21147)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.67/0.84  % (21145)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 theBenchmark for (2995ds/51Mi)
% 0.67/0.84  % (21150)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 theBenchmark for (2995ds/83Mi)
% 0.67/0.84  % (21148)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 theBenchmark for (2995ds/34Mi)
% 0.67/0.84  % (21149)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.67/0.84  % (21151)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.67/0.84  % (21146)Also succeeded, but the first one will report.
% 0.67/0.84  % (21147)First to succeed.
% 0.67/0.84  % (21144)Also succeeded, but the first one will report.
% 0.67/0.84  % (21145)Also succeeded, but the first one will report.
% 0.67/0.84  % (21148)Also succeeded, but the first one will report.
% 0.67/0.84  % (21150)Also succeeded, but the first one will report.
% 0.67/0.84  % (21149)Also succeeded, but the first one will report.
% 0.67/0.84  % (21151)Also succeeded, but the first one will report.
% 0.67/0.84  % (21147)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21143"
% 0.67/0.84  % (21147)Refutation found. Thanks to Tanya!
% 0.67/0.84  % SZS status Theorem for theBenchmark
% 0.67/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.84  % (21147)------------------------------
% 0.67/0.84  % (21147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (21147)Termination reason: Refutation
% 0.67/0.84  
% 0.67/0.84  % (21147)Memory used [KB]: 973
% 0.67/0.84  % (21147)Time elapsed: 0.003 s
% 0.67/0.84  % (21147)Instructions burned: 2 (million)
% 0.67/0.84  % (21143)Success in time 0.487 s
% 0.67/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------