TSTP Solution File: KRS196+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS196+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 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 : n027.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 : Mon May 20 23:20:28 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   49 (  21   ~;   8   |;   7   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   53 (  43   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f106,plain,
    $false,
    inference(unit_resulting_resolution,[],[f87,f81,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( model(sK2(X0,X1),X0)
      | status(X0,X1,thm) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X1)
          | ~ model(X2,X0) )
    <=> status(X0,X1,thm) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X0)
         => model(X2,X1) )
    <=> status(X0,X1,thm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).

fof(f81,plain,
    ~ status(sK0(wca,thm),sK1(wca,thm),thm),
    inference(unit_resulting_resolution,[],[f49,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( isa(X0,X1)
      | ? [X2,X3] :
          ( ~ status(X2,X3,X1)
          & status(X2,X3,X0) ) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( status(X2,X3,X0)
         => status(X2,X3,X1) )
     => isa(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( status(X2,X3,X0)
         => status(X2,X3,X1) )
    <=> isa(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X6,X7] :
      ( ! [X0,X1] :
          ( status(X0,X1,X6)
         => status(X0,X1,X7) )
    <=> isa(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).

fof(f49,plain,
    ~ isa(wca,thm),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ~ isa(wca,thm),
    inference(flattening,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ isa(wca,thm),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    isa(wca,thm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wca_thm) ).

fof(f87,plain,
    ! [X0] : ~ model(X0,sK0(wca,thm)),
    inference(unit_resulting_resolution,[],[f84,f75]) ).

fof(f75,plain,
    ! [X0,X4] :
      ( ~ model(X4,X0)
      | ~ sP24(X0) ),
    inference(general_splitting,[],[f56,f74_D]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ status(X0,X1,wca)
      | sP24(X0) ),
    inference(cnf_transformation,[],[f74_D]) ).

fof(f74_D,plain,
    ! [X0] :
      ( ! [X1] : ~ status(X0,X1,wca)
    <=> ~ sP24(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f56,plain,
    ! [X0,X1,X4] :
      ( ~ status(X0,X1,wca)
      | ~ model(X4,X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( ? [X2] : ~ model(X2,X1)
        & ? [X3] : model(X3,X1)
        & ! [X4] : ~ model(X4,X0) )
    <=> status(X0,X1,wca) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( ? [X2] : ~ model(X2,X1)
        & ? [X3] : model(X3,X1)
        & ~ ? [X4] : model(X4,X0) )
    <=> status(X0,X1,wca) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( ? [X4] : ~ model(X4,X1)
        & ? [X3] : model(X3,X1)
        & ~ ? [X2] : model(X2,X0) )
    <=> status(X0,X1,wca) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wca) ).

fof(f84,plain,
    sP24(sK0(wca,thm)),
    inference(unit_resulting_resolution,[],[f80,f74]) ).

fof(f80,plain,
    status(sK0(wca,thm),sK1(wca,thm),wca),
    inference(unit_resulting_resolution,[],[f49,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( status(sK0(X0,X1),sK1(X0,X1),X0)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS196+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.07/0.15  % 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
% 0.16/0.37  % Computer : n027.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat May 18 22:17:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37  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
% 0.61/0.77  % (2723)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 (2996ds/83Mi)
% 0.61/0.77  % (2719)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.61/0.77  % (2717)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 (2996ds/34Mi)
% 0.61/0.77  % (2720)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.61/0.77  % (2718)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 (2996ds/51Mi)
% 0.61/0.77  % (2723)First to succeed.
% 0.61/0.77  % (2723)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2716"
% 0.61/0.77  % (2720)Also succeeded, but the first one will report.
% 0.61/0.77  % (2723)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for theBenchmark
% 0.61/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.77  % (2723)------------------------------
% 0.61/0.77  % (2723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (2723)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (2723)Memory used [KB]: 1079
% 0.61/0.77  % (2723)Time elapsed: 0.003 s
% 0.61/0.77  % (2723)Instructions burned: 4 (million)
% 0.61/0.77  % (2716)Success in time 0.384 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------