TSTP Solution File: SYN403+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN403+1 : TPTP v8.2.0. 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 : n021.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 : Tue May 21 08:22:16 EDT 2024

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   59 (  21   ~;  12   |;  17   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   2   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f9]) ).

fof(f9,plain,
    f(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ~ h(sK0)
    & f(sK0)
    & ( h(sK0)
      | ~ g(sK0) )
    & ( g(sK0)
      | ~ f(sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0] :
        ( ~ h(X0)
        & f(X0)
        & ( h(X0)
          | ~ g(X0) )
        & ( g(X0)
          | ~ f(X0) ) )
   => ( ~ h(sK0)
      & f(sK0)
      & ( h(sK0)
        | ~ g(sK0) )
      & ( g(sK0)
        | ~ f(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0] :
      ( ~ h(X0)
      & f(X0)
      & ( h(X0)
        | ~ g(X0) )
      & ( g(X0)
        | ~ f(X0) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ? [X0] :
      ( ~ h(X0)
      & f(X0)
      & ( h(X0)
        | ~ g(X0) )
      & ( g(X0)
        | ~ f(X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ( g(X0)
           => h(X0) )
          & ( f(X0)
           => g(X0) ) )
       => ( f(X0)
         => h(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( ( g(X0)
         => h(X0) )
        & ( f(X0)
         => g(X0) ) )
     => ( f(X0)
       => h(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish234) ).

fof(f12,plain,
    ~ f(sK0),
    inference(subsumption_resolution,[],[f7,f11]) ).

fof(f11,plain,
    ~ g(sK0),
    inference(subsumption_resolution,[],[f8,f10]) ).

fof(f10,plain,
    ~ h(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ( h(sK0)
    | ~ g(sK0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f7,plain,
    ( g(sK0)
    | ~ f(sK0) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN403+1 : TPTP v8.2.0. Released v2.0.0.
% 0.12/0.13  % 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
% 0.14/0.33  % Computer : n021.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 15:27:23 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.34  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/benchmark/theBenchmark.p
% 0.61/0.83  % (16283)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 theBenchmark for (2995ds/51Mi)
% 0.61/0.83  % (16282)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.83  % (16284)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.83  % (16285)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.83  % (16287)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.83  % (16288)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 theBenchmark for (2995ds/83Mi)
% 0.61/0.83  % (16286)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.83  % (16289)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.61/0.83  % (16285)Also succeeded, but the first one will report.
% 0.61/0.83  % (16284)First to succeed.
% 0.61/0.83  % (16282)Also succeeded, but the first one will report.
% 0.61/0.83  % (16287)Also succeeded, but the first one will report.
% 0.61/0.83  % (16283)Also succeeded, but the first one will report.
% 0.61/0.83  % (16288)Also succeeded, but the first one will report.
% 0.61/0.83  % (16286)Also succeeded, but the first one will report.
% 0.61/0.83  % (16284)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16281"
% 0.61/0.83  % (16289)Also succeeded, but the first one will report.
% 0.61/0.83  % (16284)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Theorem for theBenchmark
% 0.61/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.83  % (16284)------------------------------
% 0.61/0.83  % (16284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (16284)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (16284)Memory used [KB]: 953
% 0.61/0.83  % (16284)Time elapsed: 0.002 s
% 0.61/0.83  % (16284)Instructions burned: 2 (million)
% 0.61/0.83  % (16281)Success in time 0.485 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------