TSTP Solution File: SYN356+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN356+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 : n025.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 11:57:01 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   62 (  18   ~;  13   |;  20   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f40,f42]) ).

fof(f42,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f41]) ).

fof(f41,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f35,f14]) ).

fof(f14,plain,
    ( ~ big_q(b,b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl0_1
  <=> big_q(b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f35,plain,
    big_q(b,b),
    inference(resolution,[],[f8,f25]) ).

fof(f25,plain,
    big_q(b,a),
    inference(unit_resulting_resolution,[],[f20,f7]) ).

fof(f7,plain,
    ! [X2,X3] :
      ( big_q(X2,X3)
      | ~ big_r(X2,X3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ( ~ big_q(b,b)
      | ~ big_q(a,a) )
    & ! [X0,X1] :
        ( big_q(X0,X0)
        | ~ big_q(X0,X1) )
    & ! [X2,X3] :
        ( ( big_q(X2,X3)
          & big_r(X3,X2) )
        | ~ big_r(X2,X3) )
    & big_r(a,b) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ( ~ big_q(b,b)
      | ~ big_q(a,a) )
    & ! [X0,X1] :
        ( big_q(X0,X0)
        | ~ big_q(X0,X1) )
    & ! [X2,X3] :
        ( ( big_q(X2,X3)
          & big_r(X3,X2) )
        | ~ big_r(X2,X3) )
    & big_r(a,b) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ! [X0,X1] :
            ( big_q(X0,X1)
           => big_q(X0,X0) )
        & ! [X2,X3] :
            ( big_r(X2,X3)
           => ( big_q(X2,X3)
              & big_r(X3,X2) ) )
        & big_r(a,b) )
     => ( big_q(b,b)
        & big_q(a,a) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X2,X3] :
            ( big_q(X2,X3)
           => big_q(X2,X2) )
        & ! [X0,X1] :
            ( big_r(X0,X1)
           => ( big_q(X0,X1)
              & big_r(X1,X0) ) )
        & big_r(a,b) )
     => ( big_q(b,b)
        & big_q(a,a) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X2,X3] :
          ( big_q(X2,X3)
         => big_q(X2,X2) )
      & ! [X0,X1] :
          ( big_r(X0,X1)
         => ( big_q(X0,X1)
            & big_r(X1,X0) ) )
      & big_r(a,b) )
   => ( big_q(b,b)
      & big_q(a,a) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ULdy7e5zCu/Vampire---4.8_32417',x2107) ).

fof(f20,plain,
    big_r(b,a),
    inference(unit_resulting_resolution,[],[f10,f6]) ).

fof(f6,plain,
    ! [X2,X3] :
      ( ~ big_r(X2,X3)
      | big_r(X3,X2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    big_r(a,b),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ big_q(X0,X1)
      | big_q(X0,X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f34,f16]) ).

fof(f16,plain,
    ( spl0_2
  <=> big_q(a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f34,plain,
    big_q(a,a),
    inference(resolution,[],[f8,f24]) ).

fof(f24,plain,
    big_q(a,b),
    inference(unit_resulting_resolution,[],[f10,f7]) ).

fof(f19,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f9,f16,f12]) ).

fof(f9,plain,
    ( ~ big_q(a,a)
    | ~ big_q(b,b) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.16  % 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
% 0.14/0.37  % Computer : n025.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri May  3 17:37:53 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.14/0.38  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.38  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.ULdy7e5zCu/Vampire---4.8_32417
% 0.58/0.76  % (32531)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)
% 0.58/0.76  % (32525)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)
% 0.58/0.76  % (32527)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (32526)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)
% 0.58/0.76  % (32531)First to succeed.
% 0.58/0.76  % (32531)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32524"
% 0.58/0.76  % (32528)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)
% 0.58/0.76  % (32532)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)
% 0.58/0.76  % (32526)Also succeeded, but the first one will report.
% 0.58/0.76  % (32525)Also succeeded, but the first one will report.
% 0.58/0.76  % (32531)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (32531)------------------------------
% 0.58/0.76  % (32531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (32531)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (32531)Memory used [KB]: 974
% 0.58/0.76  % (32531)Time elapsed: 0.003 s
% 0.58/0.76  % (32531)Instructions burned: 3 (million)
% 0.58/0.76  % (32524)Success in time 0.38 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------