TSTP Solution File: SYN047+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN047+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 : n002.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 11:55:43 EDT 2024

% Result   : Theorem 0.58s 0.87s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   39 (   1 unt;   0 def)
%            Number of atoms       :  133 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  151 (  57   ~;  72   |;   8   &)
%                                         (   8 <=>;   4  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   13 (  12 usr;  13 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,plain,
    $false,
    inference(avatar_sat_refutation,[],[f27,f32,f41,f42,f43,f48,f49,f50,f51,f52,f53,f54,f55,f56]) ).

fof(f56,plain,
    ( spl2_6
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f29,f45]) ).

fof(f45,plain,
    ( spl2_6
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f29,plain,
    ( spl2_3
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f5,plain,
    ( p
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( s
      | ( ~ r
        & q )
      | ~ p )
  <~> ( ( s
        | ~ r
        | ~ p )
      & ( s
        | q
        | ~ p ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ( ( s
      | ( ~ r
        & q )
      | ~ p )
  <~> ( ( s
        | ~ r
        | ~ p )
      & ( s
        | q
        | ~ p ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ( ( q
           => r )
          & p )
       => s )
    <=> ( ( s
          | ~ r
          | ~ p )
        & ( s
          | q
          | ~ p ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ( ( q
         => r )
        & p )
     => s )
  <=> ( ( s
        | ~ r
        | ~ p )
      & ( s
        | q
        | ~ p ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9AkD803TSu/Vampire---4.8_28079',pel17) ).

fof(f55,plain,
    ( spl2_6
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f34,f45]) ).

fof(f34,plain,
    ( spl2_4
  <=> r ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f6,plain,
    ( r
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f54,plain,
    ( spl2_6
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f7,f20,f45]) ).

fof(f20,plain,
    ( spl2_1
  <=> s ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f7,plain,
    ( ~ s
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f53,plain,
    ( ~ spl2_6
    | spl2_1
    | ~ spl2_4
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f8,f29,f34,f20,f45]) ).

fof(f8,plain,
    ( ~ p
    | ~ r
    | s
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f52,plain,
    ( ~ spl2_2
    | spl2_1
    | spl2_5
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f9,f29,f38,f20,f24]) ).

fof(f24,plain,
    ( spl2_2
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f38,plain,
    ( spl2_5
  <=> q ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f9,plain,
    ( ~ p
    | q
    | s
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f51,plain,
    ( spl2_2
    | ~ spl2_6
    | spl2_3 ),
    inference(avatar_split_clause,[],[f10,f29,f45,f24]) ).

fof(f10,plain,
    ( p
    | ~ sP1
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f50,plain,
    ( spl2_2
    | ~ spl2_6
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f11,f38,f45,f24]) ).

fof(f11,plain,
    ( ~ q
    | ~ sP1
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f49,plain,
    ( spl2_2
    | ~ spl2_6
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f12,f20,f45,f24]) ).

fof(f12,plain,
    ( ~ s
    | ~ sP1
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f48,plain,
    ( ~ spl2_2
    | spl2_6 ),
    inference(avatar_split_clause,[],[f13,f45,f24]) ).

fof(f13,plain,
    ( sP1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f43,plain,
    ( spl2_1
    | spl2_5
    | ~ spl2_3
    | spl2_2 ),
    inference(avatar_split_clause,[],[f14,f24,f29,f38,f20]) ).

fof(f14,plain,
    ( sP0
    | ~ p
    | q
    | s ),
    inference(cnf_transformation,[],[f4]) ).

fof(f42,plain,
    ( spl2_1
    | ~ spl2_4
    | ~ spl2_3
    | spl2_2 ),
    inference(avatar_split_clause,[],[f15,f24,f29,f34,f20]) ).

fof(f15,plain,
    ( sP0
    | ~ p
    | ~ r
    | s ),
    inference(cnf_transformation,[],[f4]) ).

fof(f41,plain,
    ( spl2_4
    | ~ spl2_5
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f16,f24,f38,f34]) ).

fof(f16,plain,
    ( ~ sP0
    | ~ q
    | r ),
    inference(cnf_transformation,[],[f4]) ).

fof(f32,plain,
    ( spl2_3
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f17,f24,f29]) ).

fof(f17,plain,
    ( ~ sP0
    | p ),
    inference(cnf_transformation,[],[f4]) ).

fof(f27,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f18,f24,f20]) ).

fof(f18,plain,
    ( ~ sP0
    | ~ s ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.25  % Problem    : SYN047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.27  % 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
% 0.15/0.48  % Computer : n002.cluster.edu
% 0.15/0.48  % Model    : x86_64 x86_64
% 0.15/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.48  % Memory   : 8042.1875MB
% 0.15/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.48  % CPULimit   : 300
% 0.15/0.48  % WCLimit    : 300
% 0.15/0.48  % DateTime   : Fri May  3 17:55:08 EDT 2024
% 0.15/0.48  % CPUTime    : 
% 0.15/0.48  This is a FOF_THM_PRP problem
% 0.15/0.48  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.9AkD803TSu/Vampire---4.8_28079
% 0.50/0.86  % (28194)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)
% 0.50/0.86  % (28194)First to succeed.
% 0.50/0.86  % (28188)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)
% 0.50/0.86  % (28192)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)
% 0.50/0.86  % (28191)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)
% 0.50/0.86  % (28193)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)
% 0.50/0.86  % (28194)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28187"
% 0.50/0.86  % (28189)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)
% 0.50/0.86  % (28188)Also succeeded, but the first one will report.
% 0.50/0.86  % (28191)Also succeeded, but the first one will report.
% 0.58/0.87  % (28190)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.87  % (28193)Also succeeded, but the first one will report.
% 0.58/0.87  % (28192)Also succeeded, but the first one will report.
% 0.58/0.87  % (28189)Also succeeded, but the first one will report.
% 0.58/0.87  % (28194)Refutation found. Thanks to Tanya!
% 0.58/0.87  % SZS status Theorem for Vampire---4
% 0.58/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.87  % (28194)------------------------------
% 0.58/0.87  % (28194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.87  % (28194)Termination reason: Refutation
% 0.58/0.87  
% 0.58/0.87  % (28194)Memory used [KB]: 963
% 0.58/0.87  % (28194)Time elapsed: 0.002 s
% 0.58/0.87  % (28194)Instructions burned: 3 (million)
% 0.58/0.87  % (28187)Success in time 0.374 s
% 0.58/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------