TSTP Solution File: SYN372+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN372+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/sandbox2/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 11:57:06 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   57 (  21   ~;  13   |;  10   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  10   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f22,f24]) ).

fof(f24,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f23]) ).

fof(f23,plain,
    ( $false
    | spl2_1 ),
    inference(resolution,[],[f15,f10]) ).

fof(f10,plain,
    ! [X1] : big_p(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X1] :
        ( ~ big_q(X1)
        & big_p(X1) )
    & ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ big_q(X1)
            & big_p(X1) )
        & ? [X2] :
            ( big_q(X0)
            | ~ big_p(X2) ) )
   => ( ! [X1] :
          ( ~ big_q(X1)
          & big_p(X1) )
      & ? [X2] :
          ( big_q(sK0)
          | ~ big_p(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X2] :
        ( big_q(sK0)
        | ~ big_p(X2) )
   => ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ big_q(X1)
          & big_p(X1) )
      & ? [X2] :
          ( big_q(X0)
          | ~ big_p(X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ? [X0] :
      ( ! [X2] :
          ( ~ big_q(X2)
          & big_p(X2) )
      & ? [X1] :
          ( big_q(X0)
          | ~ big_p(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ! [X0] :
        ( ? [X1] :
            ( big_p(X1)
           => big_q(X0) )
       => ? [X2] :
            ( big_p(X2)
           => big_q(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ? [X1] :
            ( big_p(X1)
           => big_q(X0) )
       => ? [X1] :
            ( big_p(X1)
           => big_q(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ? [X1] :
          ( big_p(X1)
         => big_q(X0) )
     => ? [X1] :
          ( big_p(X1)
         => big_q(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TseMfYmH4G/Vampire---4.8_26635',x2123) ).

fof(f15,plain,
    ( ~ big_p(sK1)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl2_1
  <=> big_p(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f22,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f21]) ).

fof(f21,plain,
    ( $false
    | ~ spl2_2 ),
    inference(resolution,[],[f19,f11]) ).

fof(f11,plain,
    ! [X1] : ~ big_q(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f19,plain,
    ( big_q(sK0)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl2_2
  <=> big_q(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f20,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f9,f17,f13]) ).

fof(f9,plain,
    ( big_q(sK0)
    | ~ big_p(sK1) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SYN372+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n002.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   : Fri May  3 17:20:23 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.TseMfYmH4G/Vampire---4.8_26635
% 0.61/0.77  % (26836)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)
% 0.61/0.77  % (26842)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 (2996ds/56Mi)
% 0.61/0.77  % (26836)First to succeed.
% 0.61/0.77  % (26842)Also succeeded, but the first one will report.
% 0.61/0.77  % (26836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26805"
% 0.61/0.77  % (26835)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)
% 0.61/0.77  % (26839)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)
% 0.61/0.77  % (26837)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77  % (26840)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)
% 0.61/0.77  % (26836)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (26836)------------------------------
% 0.61/0.77  % (26836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (26836)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (26836)Memory used [KB]: 968
% 0.61/0.77  % (26836)Time elapsed: 0.003 s
% 0.61/0.77  % (26836)Instructions burned: 2 (million)
% 0.61/0.77  % (26805)Success in time 0.398 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------