TSTP Solution File: SYN347+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN347+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 : 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 : Sun May  5 11:56:58 EDT 2024

% Result   : Theorem 0.60s 0.85s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (   1 unt;   0 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   94 (  38   ~;  41   |;   1   &)
%                                         (  12 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   45 (  38   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f21,f25,f29,f38,f67]) ).

fof(f67,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(avatar_contradiction_clause,[],[f66]) ).

fof(f66,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(subsumption_resolution,[],[f63,f64]) ).

fof(f64,plain,
    ( big_f(sK1,sK2(sK1,sK0))
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(unit_resulting_resolution,[],[f57,f20]) ).

fof(f20,plain,
    ( ! [X2,X3] :
        ( ~ big_f(X3,sK2(X2,X3))
        | big_f(X2,sK2(X2,X3)) )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl3_3
  <=> ! [X2,X3] :
        ( ~ big_f(X3,sK2(X2,X3))
        | big_f(X2,sK2(X2,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f57,plain,
    ( big_f(sK0,sK2(sK1,sK0))
    | ~ spl3_1 ),
    inference(factoring,[],[f51]) ).

fof(f51,plain,
    ( ! [X0] :
        ( big_f(X0,sK2(sK1,X0))
        | big_f(sK0,sK2(sK1,X0)) )
    | ~ spl3_1 ),
    inference(resolution,[],[f12,f8]) ).

fof(f8,plain,
    ! [X2,X3] :
      ( big_f(sK1,sK2(X2,X3))
      | big_f(sK0,sK2(X2,X3)) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,plain,
    ? [X0,X1] :
    ! [X2,X3] :
    ? [X4] :
      ( ( big_f(X0,X4)
      <~> big_f(X1,X4) )
      & ( ( big_f(X2,X4)
        <=> big_f(X3,X4) )
      <~> big_f(X0,X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
      ? [X2,X3] :
      ! [X4] :
        ( ( big_f(X0,X4)
        <=> big_f(X1,X4) )
        | ( ( big_f(X2,X4)
          <=> big_f(X3,X4) )
        <=> big_f(X0,X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
    ? [X2,X3] :
    ! [X4] :
      ( ( big_f(X0,X4)
      <=> big_f(X1,X4) )
      | ( ( big_f(X2,X4)
        <=> big_f(X3,X4) )
      <=> big_f(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.vtlTxA1YsA/Vampire---4.8_10398',church_46_17_3) ).

fof(f12,plain,
    ( ! [X2,X3] :
        ( ~ big_f(X2,sK2(X2,X3))
        | big_f(X3,sK2(X2,X3)) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl3_1
  <=> ! [X2,X3] :
        ( big_f(X3,sK2(X2,X3))
        | ~ big_f(X2,sK2(X2,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f63,plain,
    ( ~ big_f(sK1,sK2(sK1,sK0))
    | ~ spl3_1 ),
    inference(unit_resulting_resolution,[],[f57,f9]) ).

fof(f9,plain,
    ! [X2,X3] :
      ( ~ big_f(sK1,sK2(X2,X3))
      | ~ big_f(sK0,sK2(X2,X3)) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f38,plain,
    ( ~ spl3_4
    | ~ spl3_5 ),
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_5 ),
    inference(subsumption_resolution,[],[f36,f24]) ).

fof(f24,plain,
    ( ! [X2,X3] :
        ( ~ big_f(X2,sK2(X2,X3))
        | ~ big_f(X3,sK2(X2,X3)) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl3_4
  <=> ! [X2,X3] :
        ( ~ big_f(X3,sK2(X2,X3))
        | ~ big_f(X2,sK2(X2,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f36,plain,
    ( ! [X0] : big_f(X0,sK2(X0,X0))
    | ~ spl3_5 ),
    inference(factoring,[],[f28]) ).

fof(f28,plain,
    ( ! [X2,X3] :
        ( big_f(X3,sK2(X2,X3))
        | big_f(X2,sK2(X2,X3)) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl3_5
  <=> ! [X2,X3] :
        ( big_f(X3,sK2(X2,X3))
        | big_f(X2,sK2(X2,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f29,plain,
    ( spl3_5
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f4,f14,f27]) ).

fof(f14,plain,
    ( spl3_2
  <=> big_f(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f4,plain,
    ! [X2,X3] :
      ( ~ big_f(sK0,sK1)
      | big_f(X3,sK2(X2,X3))
      | big_f(X2,sK2(X2,X3)) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f25,plain,
    ( spl3_4
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f5,f14,f23]) ).

fof(f5,plain,
    ! [X2,X3] :
      ( ~ big_f(sK0,sK1)
      | ~ big_f(X3,sK2(X2,X3))
      | ~ big_f(X2,sK2(X2,X3)) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f21,plain,
    ( spl3_3
    | spl3_2 ),
    inference(avatar_split_clause,[],[f6,f14,f19]) ).

fof(f6,plain,
    ! [X2,X3] :
      ( big_f(sK0,sK1)
      | ~ big_f(X3,sK2(X2,X3))
      | big_f(X2,sK2(X2,X3)) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f17,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f7,f14,f11]) ).

fof(f7,plain,
    ! [X2,X3] :
      ( big_f(sK0,sK1)
      | big_f(X3,sK2(X2,X3))
      | ~ big_f(X2,sK2(X2,X3)) ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.23  % Problem    : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.25  % 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
% 0.14/0.46  % Computer : n012.cluster.edu
% 0.14/0.46  % Model    : x86_64 x86_64
% 0.14/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.46  % Memory   : 8042.1875MB
% 0.14/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.46  % CPULimit   : 300
% 0.14/0.46  % WCLimit    : 300
% 0.14/0.46  % DateTime   : Fri May  3 17:22:53 EDT 2024
% 0.14/0.46  % CPUTime    : 
% 0.14/0.46  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.46  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.vtlTxA1YsA/Vampire---4.8_10398
% 0.60/0.85  % (10664)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)
% 0.60/0.85  % (10658)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)
% 0.60/0.85  % (10661)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.85  % (10659)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)
% 0.60/0.85  % (10662)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)
% 0.60/0.85  % (10663)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)
% 0.60/0.85  % (10660)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.85  % (10664)First to succeed.
% 0.60/0.85  % (10664)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10655"
% 0.60/0.85  % (10663)Refutation not found, incomplete strategy% (10663)------------------------------
% 0.60/0.85  % (10663)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (10663)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.85  
% 0.60/0.85  % (10664)Refutation found. Thanks to Tanya!
% 0.60/0.85  % SZS status Theorem for Vampire---4
% 0.60/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.85  % (10664)------------------------------
% 0.60/0.85  % (10664)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (10664)Termination reason: Refutation
% 0.60/0.85  
% 0.60/0.85  % (10664)Memory used [KB]: 989
% 0.60/0.85  % (10664)Time elapsed: 0.003 s
% 0.60/0.85  % (10664)Instructions burned: 4 (million)
% 0.60/0.85  % (10655)Success in time 0.382 s
% 0.60/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------