TSTP Solution File: SYN082+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN082+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 : 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 : Wed May  1 04:33:15 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (   1 unt;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   90 (  40   ~;  37   |;   3   &)
%                                         (   7 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (  14   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f20,f24,f28,f40,f70]) ).

fof(f70,plain,
    ( ~ spl3_1
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f54,f11]) ).

fof(f11,plain,
    ( big_f(sK0,f(sK0))
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f9,plain,
    ( spl3_1
  <=> big_f(sK0,f(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f54,plain,
    ( ~ big_f(sK0,f(sK0))
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ( ~ big_f(sK0,f(sK0))
    | ~ big_f(sK0,f(sK0))
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(resolution,[],[f19,f23]) ).

fof(f23,plain,
    ( ! [X1] :
        ( big_f(sK2(X1),X1)
        | ~ big_f(sK0,X1) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl3_4
  <=> ! [X1] :
        ( big_f(sK2(X1),X1)
        | ~ big_f(sK0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f19,plain,
    ( ! [X1] :
        ( ~ big_f(sK2(X1),f(sK0))
        | ~ big_f(sK0,X1) )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl3_3
  <=> ! [X1] :
        ( ~ big_f(sK2(X1),f(sK0))
        | ~ big_f(sK0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f40,plain,
    ( spl3_1
    | ~ spl3_2
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f29,f26,f13,f9]) ).

fof(f13,plain,
    ( spl3_2
  <=> big_f(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f26,plain,
    ( spl3_5
  <=> ! [X2] :
        ( ~ big_f(X2,sK1)
        | big_f(X2,f(sK0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f29,plain,
    ( big_f(sK0,f(sK0))
    | ~ spl3_2
    | ~ spl3_5 ),
    inference(unit_resulting_resolution,[],[f15,f27]) ).

fof(f27,plain,
    ( ! [X2] :
        ( big_f(X2,f(sK0))
        | ~ big_f(X2,sK1) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f15,plain,
    ( big_f(sK0,sK1)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f28,plain,
    ( spl3_1
    | spl3_5 ),
    inference(avatar_split_clause,[],[f4,f26,f9]) ).

fof(f4,plain,
    ! [X2] :
      ( ~ big_f(X2,sK1)
      | big_f(X2,f(sK0))
      | big_f(sK0,f(sK0)) ),
    inference(cnf_transformation,[],[f3]) ).

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

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

fof(f1,conjecture,
    ! [X0] :
      ( big_f(X0,f(X0))
    <=> ? [X1] :
          ( big_f(X0,X1)
          & ! [X2] :
              ( big_f(X2,X1)
             => big_f(X2,f(X0)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xc6k9o3mHB/Vampire---4.8_14316',pel60) ).

fof(f24,plain,
    ( ~ spl3_1
    | spl3_4 ),
    inference(avatar_split_clause,[],[f5,f22,f9]) ).

fof(f5,plain,
    ! [X1] :
      ( big_f(sK2(X1),X1)
      | ~ big_f(sK0,X1)
      | ~ big_f(sK0,f(sK0)) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f20,plain,
    ( ~ spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f6,f18,f9]) ).

fof(f6,plain,
    ! [X1] :
      ( ~ big_f(sK2(X1),f(sK0))
      | ~ big_f(sK0,X1)
      | ~ big_f(sK0,f(sK0)) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f16,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f7,f13,f9]) ).

fof(f7,plain,
    ( big_f(sK0,sK1)
    | big_f(sK0,f(sK0)) ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% 0.15/0.15  % 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
% 0.16/0.36  % 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   : Tue Apr 30 17:25:42 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.22/0.36  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.xc6k9o3mHB/Vampire---4.8_14316
% 0.58/0.74  % (14571)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 (2996ds/83Mi)
% 0.58/0.75  % (14565)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 (2996ds/34Mi)
% 0.58/0.75  % (14567)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (14566)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 (2996ds/51Mi)
% 0.58/0.75  % (14571)First to succeed.
% 0.58/0.75  % (14570)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (14569)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 (2996ds/34Mi)
% 0.58/0.75  % (14571)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (14571)------------------------------
% 0.58/0.75  % (14571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (14571)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (14571)Memory used [KB]: 979
% 0.58/0.75  % (14571)Time elapsed: 0.003 s
% 0.58/0.75  % (14571)Instructions burned: 3 (million)
% 0.58/0.75  % (14571)------------------------------
% 0.58/0.75  % (14571)------------------------------
% 0.58/0.75  % (14561)Success in time 0.376 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------