TSTP Solution File: SYN954+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN954+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n017.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 04:45:05 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   3 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   80 (  28   ~;  23   |;  17   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   29 (  21   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f30,f32,f34]) ).

fof(f34,plain,
    ( spl2_2
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f33]) ).

fof(f33,plain,
    ( $false
    | spl2_2
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f19,f23]) ).

fof(f23,plain,
    ( ! [X2] : p(X2)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl2_3
  <=> ! [X2] : p(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f19,plain,
    ( ~ p(sK1)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl2_2
  <=> p(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f32,plain,
    ( spl2_1
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | spl2_1
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f15,f23]) ).

fof(f15,plain,
    ( ~ p(sK0)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl2_1
  <=> p(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f30,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f29,f22]) ).

fof(f29,plain,
    ! [X3] : p(X3),
    inference(subsumption_resolution,[],[f7,f8]) ).

fof(f8,plain,
    ! [X2] :
      ( q(X2)
      | p(X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X2] :
        ( ( ~ p(sK1)
          & q(X2) )
        | ( ~ p(sK0)
          & p(X2) ) )
    & ! [X3] :
        ( p(X3)
        | ~ q(X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
            ( ( ~ p(X1)
              & q(X2) )
            | ( ~ p(X0)
              & p(X2) ) )
        & ! [X3] :
            ( p(X3)
            | ~ q(X3) ) )
   => ( ! [X2] :
          ( ( ~ p(sK1)
            & q(X2) )
          | ( ~ p(sK0)
            & p(X2) ) )
      & ! [X3] :
          ( p(X3)
          | ~ q(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ( ~ p(X1)
            & q(X2) )
          | ( ~ p(X0)
            & p(X2) ) )
      & ! [X3] :
          ( p(X3)
          | ~ q(X3) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,plain,
    ? [X0,X1] :
      ( ! [X3] :
          ( ( ~ p(X1)
            & q(X3) )
          | ( ~ p(X0)
            & p(X3) ) )
      & ! [X2] :
          ( p(X2)
          | ~ q(X2) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( ! [X2] :
            ( q(X2)
           => p(X2) )
       => ? [X3] :
            ( ( q(X3)
             => p(X1) )
            & ( p(X3)
             => p(X0) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
      ( ! [X2] :
          ( q(X2)
         => p(X2) )
     => ? [X3] :
          ( ( q(X3)
           => p(X1) )
          & ( p(X3)
           => p(X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VQZJppSk53/Vampire---4.8_1151',prove_this) ).

fof(f7,plain,
    ! [X3] :
      ( p(X3)
      | ~ q(X3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f11,f17,f13]) ).

fof(f11,plain,
    ( ~ p(sK1)
    | ~ p(sK0) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN954+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 16:55:34 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  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.VQZJppSk53/Vampire---4.8_1151
% 0.54/0.75  % (1271)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)
% 0.54/0.75  % (1271)First to succeed.
% 0.54/0.75  % (1266)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (1264)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)
% 0.54/0.75  % (1268)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)
% 0.54/0.75  % (1265)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)
% 0.54/0.75  % (1269)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)
% 0.54/0.75  % (1267)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)
% 0.54/0.75  % (1270)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)
% 0.54/0.75  % (1271)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (1271)------------------------------
% 0.54/0.75  % (1271)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (1271)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (1271)Memory used [KB]: 977
% 0.54/0.75  % (1271)Time elapsed: 0.002 s
% 0.54/0.75  % (1271)Instructions burned: 2 (million)
% 0.54/0.75  % (1271)------------------------------
% 0.54/0.75  % (1271)------------------------------
% 0.54/0.75  % (1263)Success in time 0.387 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------