TSTP Solution File: SYN398+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN398+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 04:34:18 EDT 2024

% Result   : Theorem 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   6 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   92 (  35   ~;  31   |;  18   &)
%                                         (   5 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (  17   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f31,f33,f35]) ).

fof(f35,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f34]) ).

fof(f34,plain,
    ( $false
    | spl2_1 ),
    inference(resolution,[],[f21,f16]) ).

fof(f16,plain,
    ! [X3] : f(X3),
    inference(condensation,[],[f13]) ).

fof(f13,plain,
    ! [X2,X3] :
      ( f(X2)
      | f(X3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( ~ f(sK0)
      | ~ p
      | ~ f(sK1)
      | ~ p )
    & ( ( ! [X2] : f(X2)
        & p )
      | ! [X3] :
          ( f(X3)
          & p ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).

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

fof(f8,plain,
    ( ? [X1] :
        ( ~ f(X1)
        | ~ p )
   => ( ~ f(sK1)
      | ~ p ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ( ? [X0] : ~ f(X0)
      | ~ p
      | ? [X1] :
          ( ~ f(X1)
          | ~ p ) )
    & ( ( ! [X2] : f(X2)
        & p )
      | ! [X3] :
          ( f(X3)
          & p ) ) ),
    inference(rectify,[],[f5]) ).

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

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

fof(f3,plain,
    ( ! [X0] :
        ( f(X0)
        & p )
  <~> ( ! [X1] : f(X1)
      & 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/tmp/tmp.BKDVePi091/Vampire---4.8_347',kalish215) ).

fof(f21,plain,
    ( ~ f(sK1)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl2_1
  <=> f(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f33,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | spl2_3 ),
    inference(resolution,[],[f29,f16]) ).

fof(f29,plain,
    ( ~ f(sK0)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl2_3
  <=> f(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f31,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f15,f23]) ).

fof(f23,plain,
    ( spl2_2
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f15,plain,
    p,
    inference(duplicate_literal_removal,[],[f10]) ).

fof(f10,plain,
    ( p
    | p ),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f17,f27,f23,f19]) ).

fof(f17,plain,
    ( ~ f(sK0)
    | ~ p
    | ~ f(sK1) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,plain,
    ( ~ f(sK0)
    | ~ p
    | ~ f(sK1)
    | ~ p ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem    : SYN398+1 : TPTP v8.1.2. Released v2.0.0.
% 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
% 0.10/0.30  % Computer : n006.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 17:18:35 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_EPR_NEQ problem
% 0.10/0.31  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.BKDVePi091/Vampire---4.8_347
% 0.61/0.78  % (458)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)
% 0.61/0.78  % (457)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78  % (455)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)
% 0.61/0.78  % (459)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)
% 0.61/0.78  % (456)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)
% 0.61/0.78  % (460)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)
% 0.61/0.78  % (461)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)
% 0.61/0.78  % (462)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)
% 0.61/0.79  % (456)First to succeed.
% 0.61/0.79  % (457)Also succeeded, but the first one will report.
% 0.61/0.79  % (455)Also succeeded, but the first one will report.
% 0.61/0.79  % (456)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Theorem for Vampire---4
% 0.61/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79  % (456)------------------------------
% 0.61/0.79  % (456)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (456)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (456)Memory used [KB]: 975
% 0.61/0.79  % (456)Time elapsed: 0.003 s
% 0.61/0.79  % (456)Instructions burned: 2 (million)
% 0.61/0.79  % (456)------------------------------
% 0.61/0.79  % (456)------------------------------
% 0.61/0.79  % (454)Success in time 0.476 s
% 0.61/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------